Fractions and Decimals ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions Chapter-2 . We provide step by step Solutions of Exercise / lesson-2 Fraction and Decimals ICSE Class-7th ML Aggarwal Mathematics.
Our Solutions contain all type Questions with exe- 2.1, Exe-2.2, Exe-2.3, Exe-2.4, Exe-2.5, Exe-2.6, Exe-2.7, Objective Type Questions , (includes: Mental Maths, Multiple Choice Questions ), Value Based Questions, HOT and Check Your Progress to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.
Fractions and Decimals ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions Chapter-2
–: Select Topic :–
Objective Type Questions Mental Maths,
Multiple Choice Questions (MCQ) ,
Exercise- 2.1 Fractions and Decimals, ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions
Question 1
What fraction of each of the following figure is shaded?
(See figure from textbook)
Question 2
What fraction of an hour is 35 minutes?
Question-3
Convert the following fractions into improper fractions :
(i) 27⁄9
(ii) 5 4⁄11
Question 4
Convert the following fractions into mixed fractions:
(i) 73⁄8
(ii) 94/13
Question- 5
Fill in the missing numbers in the following equivalent fractions:
(i) 3/7 = …/.35
(ii) 5/…. = 30/18
(iii) …../9 = 56/72
Question 6.
Reduce the following fractions to their simplest form:
(i) 48/72
(ii) 276/115
(iii) 72/336
Question-7
Convert the following fractions into equivalent like fractions:
(i) ………….
(ii) ……………….
Question- 8
Arrange the given fractions in descending order:
(i) ………….
(ii) ……………….
Question 9
Arrange the given fractions in ascending order:
(i) ………….
(ii) ……………….
Fractions and Decimals Exe-2.2 ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions
Question 1
Evaluate the following:
(i) ………….
(ii) ……………….
(iii)………….
Question -2
Simplify the following:
(i) ………….
(ii) ……………….
Question -3
Jaishree studies for 52⁄3 hours daily. She devotes 24⁄5 hours of her time for Science and Mathematics. How much time does she devote to other subjects?
Question- 4.
Ramesh solved 2/7 part of an exercise while Reshma solved 4/5 of it. Who solved the lesser part? By how much?
Question -5.
Sonali had ₹ 353⁄5. She got ₹ 161⁄15 from her mother and spent ₹ 282⁄3 on food. How much money is left with her?
Fractions and Decimals, ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions Exe-2.3
Question 1
Evaluate the following:
(i) ………….
(ii) ……………….
(iii)………….
(iv) …………….
Question -2
Find
(i) ………….
(ii) ……………….
(iii)………….
Question -3
Evaluate the following:
(i) ………….
(ii) ……………….
(iii)………….
(iv) …………….
Question -4
Find the value of:
(i) ………….
(ii) ……………….
(iii)………….
(iv) …………….
Question- 5
Which is greater:
(i) ………….
(ii) ……………….
Question- 6
If 1 metre cloth costs ₹ 313⁄4, find the cost of 51⁄2 metres cloth.
Question -7
If the speed of a car is 1051⁄5 km/h, find the distance covered by it in 33⁄5 hours.
Question 8
A car runs 16 km using 1 litre of petrol. How much distance will it cover in 23⁄4 litres of petrol?
Question-9
Sushant reads 1/3 part of a book in 1 hour. How much part of the book will he read in 21⁄5 hours?
Question- 10
An ornament is made of gold and copper and weighs 52 grams. If 21⁄3 of its part is copper, find the weight of pure gold in it.
Question -11
n a class of 40 students, 1/5 of the total number of students like to study English and 2/5 of the total number of students like to study Mathematics and the remaining like to study Science.
(i) How many students like to study English?
(ii) How many students like to study Mathematics?
(iii) What fraction of the total number of students like to study Science?
Question 12.
A rectangular sheet of paper is 121⁄2 cm long and 102⁄3 cm wide. Find its
(i) perimeter
(ii) area
Question 13
In a school, 25/54 of the students are girls and the rest are boys. If the number of boys is 2030, find the number of girls
Question 14
In an orchard, 1/5 are orange green, 3/13 are mango trees and the rest are banana trees. If the banana trees are 148 in number, find the total number of trees in the orchard.
Exercise- 2.4,Fractions and Decimals, ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions
Question -1
Find the reciprocal of each of the following:
(i) 3/7
(iii) 13/9
(iii) 8
Question -2
Evaluate the following
(i)……………
(ii)……………
(iii)…………….
(iv)………..
Question- 3
How many pieces each 51⁄6 metres long can be cut from a cloth 771⁄2 metres long?
Question -4
By what number should 47⁄8 be multiplied to get 873⁄4 ?
Question -5
In a hostel’s mess, each student gets 1/3 litre of milk every day. If the total consumption of the milk is 572⁄3 litres per day, how many students are there in the hostel?
Question 6
The cost of 51⁄4 kg apples is ₹ 336. What is the rate of apples per kg?
Question 7.
The length of a rectangular plot of area 683⁄4 sq. m is 121⁄2 m, find its width.
Question 8
If the cost of 51⁄2 kg of sugar is ₹ 2061⁄4,then find the cost of 81⁄4 kg of sugar.
Question-9
Renu completed 2/3 part of her homework in 2 hours. How much part of her homework had she completed in 11⁄4 hours?
Exercise- 2.5, Fractions and Decimals, ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions
Question-1
Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034
Question 2.
Write the place value of digit 2 in the following decimal numbers:
(i) 2.56
(ii) 21.37
(iii) 10.25
(iv) 63.352
Question 3.
Convert the following decimal numbers to frac ions (in simplest form):
(i) 0.8
(ii) 0.225
(iii) 0. 0092
(iv) 3.025
Question 4.
Convert the following decimals to mixed fractions:
(i) 5.05
(ii) 63.125
(iii) 17.075
(iv) 317.0006
Question- 5.
Convert the following fractions into decimal numbers:
(i) 3/5
(ii) 7/8
(iii) 35⁄16
(iv) 13713⁄62
Question 6.
Which is greater?
(i) 0.5 or 0.05
(ii) 7 or 0.7
(iii) 2.03 or 2.30
(iv) 0.8 or 0.88.
Question 7.
Arrange the following decimal numbers in ascending order:
(i) 38.02, 38.021, 3.802, 83.02, 38.002
(ii) 46.542, 46.452, 46.254, 46.05, 64.542, 46.0542
Question 8.
Arrange the following decimal numbers in descending order:
(i) 5.6, 0.93, 1.87, 1.9, 1.78, 0.39
(ii) 71.201, 20.1, 2.01, 3.1, 2.14, 0.652
Question 9.
Express as rupees using decimals:
(i) 7 paise
(ii) 77 rupees 77 paise
(iii) 235 paise
Question 10.
Express 5 cm in metre and kilometre.
Question 11.
Express in kg using decimals:
(i) 200 g
(ii) 3470 g
(iii) 4 kg 8 g
Question 12.
Add:
(i) 5.765, 9.2, 3.08
(ii) 15.49, 8.3572, 0.903, 7.8
Question 13.
Workout the following:
(i) 72.53 – 46.782
(ii) 18.376 – 5.43 – 8.8976
(iii) 28.5 – 9.708 – 6.234
(iv) 8.2 – 4.56 – 0.7912 + 2.67
Question 14.
(i) What number added to 3.56 gives 13.016?
(ii) What number should be subtracted from 30 to get 23.709?
(iii) What is the excess of 20.4 over 9.7403?
ML Aggarwal Solutions Fractions and Decimals Exe-2.6 , ML Aggarwal Class-7 ICSE APC Understanding Mathematics Solutions
Question 1
Find the following:
(i) 2.7 × 4
(ii) 2.71 × 5
(iii) 2.5 × 0.3
(iv) 2.3 × 4.35
(v) 238.06 × 7.5
(vi) 0.79 × 32.4
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
Question 2.
find the following:
(i) 10.8 ÷ 4
(ii) 126.35 ÷ 7
(iii) 22.5 ÷ 1.5
(iv) 4.28 ÷ 0.02
(v) 3.645 ÷ 1.35
(vi) 0.728 ÷ 0.04
(vii) 13.06 ÷ 0.08
(viii) 58.635 ÷ 4.5
Question 3.
Multiply each of the following numbers by 10, 100 and 1000 (orally):
(i) 5.9
(ii) 3.76
(iii) 0.549
Question 4.
Divide each of the following numbers by 10, 100 and 1000 (orally):
(i) 4.8
(ii) 38.53
(iii) 128.9
Question 5.
Find the area of a rectangle whose length is 5.7 cm and breadth is 3.5 cm.
Question 6.
The cost of one-metre cloth is ₹ 38.50. Find the cost of 3.6 m cloth.
Question 7.
A two-wheeler covers a distance of 45.3 km in one litre of petrol. How much distance will it cover in 5.9 litres of petrol?
Question 8.
If 1 kg of pure milk contains 0.245 kg of fat. How much fat is there in 12.8 kg of milk?
Question 9.
If ₹ 242.46 are to be distributed among 6 children equally, find the share of each.
Question 10.
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Question 11.
How many ice cream cones can be filled from 8.4 litres of ice cream if one cone can be filled with 35 millilitres of ice cream?
Question 12.
If the product of two decimal numbers is 38.745 and one of the numbers is 2.7, find the other.
Question 13.
If 2/3 of a number is 10, then what is 1.75 times of that number?
ML Aggarwal Solutions Class-7 ICSE APC Understanding Mathematics Fractions and Decimals Exercise- 2.7
Simplify the following (1 to 3):
Question 1.
(i) 3/5 of 1 (1/9) + 3(1/2)
(ii)………..
(iii) …………
Question 2
(i) {1/4 of 2(2/7)}/3/5
(ii)…………..
(iii)………….
Question 3
…………………
………………..
Question -5
Simplify the following:
(i)……………..
(ii)……………
Objective Type Questions, Mental Maths, Fractions and Decimals, ML Aggarwal Class-7
Question 1.
Fill in the blanks:
(i) In fractions with same numerator, the fraction with greater denominator is …….
(ii) 1141/38 reduced to simplest forms is ………
(iii) 154/286 = ……13
(iv) The reciprocal of the fraction 23⁄8 is …….
(v) There are …….. minutes in 2/5 th of 2 hours.
(vi) 23⁄7 × 42⁄3 = …….
(vii) 12⁄3 ÷ 21⁄5 = ………
(viii) If the price of 7 similar pens is ₹ 37.80, then the price of each pen is ……..
(ix) 5.4 × 2.35 = ……
(x) 0.32 ÷ 8 = …….
(xi) 45 mg = ………. g
(xii) 5.06 kg = ……… kg …….. g
(xiii) 7.035 m = ……. m …….. cm …….. mm
(xiv) The product of a proper fraction and an improper fraction is …… the improper fraction.
(xv) The lowest form of the product 23⁄7 × 7⁄9 is ………
(xvi) Ravi ate 2/7 part of a cake while his sister Rani ate 4/5 of the remaining. Part of the cake left is ……
Question 2
State whether the following statements are true (T) or false (T):
(i) The reciprocal of 1 is 0.
(ii) The reciprocal of a proper fraction is a proper fraction.
(iii) The reciprocal of an improper fraction is an improper fraction.
(iv) Product of two fractions= ………………
(v)………..
(vi)………..
(vii)………..
(viii)…………
(ix)……………..
(x) The product of two proper fractions is greater than each of the two fractions.
(xi) To multiply a decimal number by 10, move the decimal point to the left by one place.
(xii) To divide a decimal number by 100, move the decimal point to the left by two places.
Multiple Choice Question (MCQ)
Choose the correct answer from the given four options (3 to 20):
Question 3.
5/6 of 480 is
(a) 400
(b) 576
(c) 480
(d) none of these
Question 4.
The reciprocal of 523 is
(a) 53⁄2
(b) 32⁄5
(c) 23⁄5
(d) 3/17
Question 5.
The fraction 11/7 lies between
(a) 11 and 7
(b) 1 and 2
(c) 0 and 1
(d) 2 and 3
Question 6.
If the cost of 1 kg almonds is ₹ 460, then the cost of 2/5 kg of almonds is
(a) ₹ 92
(b) ₹ 184
(c) ₹ 230
(d) ₹ 1200
Question 7
……………………..is equal to………….
(a).2.
(b).11⁄5
(c) 21⁄6
(d) 15⁄6
Question- 8
……………………..is equal to………….
(a).31/6.
(b).1/27
(c) 51⁄21
(d) 14⁄27
Question 9.
If 3/4 of a number is 12, then the number is
(a) 9
(b) 16
(c) 18
(d) 32
Question- 10
Arif bought 3 dozen eggs. He found 1/9 of them were rotten. The number of rotten eggs was
(a) 4
(b) 3
(c) 6
(d) 8
Question 11.
Shruti reads a novel for 134 hours daily, if she reads the entire novel in 6 days, then the time she takes to read the entire novel is
(a) 71⁄2 hours
(b) 91⁄2 hours
(c) 101⁄2 hours
(d) 111⁄2 hours
Question 12.
The place value of the digit 7 in the decimal number 35.0471 is
(a) 7
(b) 7/100
(c) 1/1000
(d) 7/1000
Question 13.
0.002 × 0.3 is
(a) 0.6
(b) 0.06
(c) 0.006
(d) 0.006
Question 14.
The value of the mixed fraction 53⁄8 is
(a) 5.735
(b) 5.375
(c) 5.625
(d) 5.875
Question 15.
0.35 ÷ 0.7 is
(a) 50
(b) 5
(c) 0.5
(d) 0.05
Question 16.
30 m 5 cm is same as
(a) 30.5 m
(b) 3.05 m
(c) 30.05 m
(d) 30.005 m
Question 17.
0.05309 × 1000 is
(a) 5.309
(b) 53.09
(c) 530.9
(d) none of these
Question -18.
2.305 ÷ 1000 is
(a) 0.2305
(b) 0.02305
(c) 0.002305
(d) none of these
Question- 19.
If each side of a regular hexagon is 3.5 cm, then the perimeter of the hexagon is
(a) 17.5 cm
(b) 21 cm
(c) 18.5 cm
(d) 24.5 cm
Question 20.
Which of the following numbers has the smallest value?
(a) 0.0002
(b) 2/1000
(c) 0.02 × 0.001
(d) 2/1000 ÷ 0.01
Value Based Question
Question 1.
Seema had one sandwich for her lunch and her two other friends in the class forgot to bring their lunch. Seema decided to share equally her sandwich with her friends. How much part of the sandwich each girl will get? What have you learnt by this behaviour of Seema?
Question 2.
A farmer had a large field of dimensions 1396.5 m by 272.72 m. Find the area of the field. He left 1/6 of this area to make a playground for the children of the locality. Find the area of the playground. Which value of the farmer is reflected in this act?
Higher Order Thinking Skills (HOTS)
Question 1
I read 4/9 of a book on one day and 3/5 of the remaining next day. If 100 pages of the book were still left unread, how many pages did the book contain?
Question 2
A drum of petrol is 3/4 full. When 30 litres of oil are drawn from it, it is 7/12 full. Find the capacity of the drum.
Check Your Progress
Question 1
What fraction is 270 gram of 3 kilograms?
Question 2.
Simplify the following:
(i)
(ii)
(iii)
(iv)
Question 3.
A shirt was marked at ₹ 540. It was sold at 3/4 of the marked price. What was the sale price?
Question 4.
In a class of 56 students, 1/4 are in blue house and 3/14 are in yellow house. Out of the remaining, 1/3 are in the greenhouse and the rest are in the red house. Find the number of students in each house.
Question 5.
Rohit bought a motorcycle for ₹ 36000. He paid 1/6 of the price in cash and the rest in 12 equal monthly installments. Find the amount he had to pay every month.
Question 6.
Mr Mukerjee gave 5/14 of his money to his son, 2/3 of the remainder to his daughter and the rest to his wife. If his wife got ₹ 36000, what was that total amount?
Question 7
find .the value of ………………..
Question 8.
Convert the following numbers to fractions (in simplest form):
(i) 0.025
(ii) 0.876
(iii) 4.3125
Question 9.
Write the following fractions as decimals:
(i) 13⁄8
(ii) 47/125
(iii) 29⁄40
Question 10
By how much does the sum of 17.443 and 29.657 exceed the sum of 13.687 and 18.548?
Question 11.
Simplify the following:
(i) 4.27 × 0.036
(ii) 0.09 × 1.04
(iii) 1.32 ÷ 0.8
(iv) 0.7038 ÷ 0.34
Question 12.
If one kg of rice costs ₹ 52.70, then find the cost of 12.5 kg rice.
Question 13.
A piece of cloth is 24.5 m long. How many pieces, each of length 1.75 m, can be cut from it?
Question 14.
The product of two decimal numbers is 1.599 and one of them ¡s 0.65, find the other.
Question 15
Simplify the following:
(i)………
(ii)………
— End of Fractions and Decimals ML Aggarwal ICSE Class-7 Solutions :–
Return to – ML Aggarwal Maths Solutions for ICSE Class -7
Thanks
