ML Aggarwal Fractions Exe-6.3 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-6.3 Questions for Fractions as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.
ML Aggarwal Fractions Exe-6.3 Class 6 ICSE Maths Solutions
| Board | ICSE |
| Publications | Avichal Publishig Company (APC) |
| Subject | Maths |
| Class | 6th |
| Chapter-6 | Fractions |
| Writer | ML Aggarwal |
| Book Name | Understanding |
| Topics | Solution of Exe-6.3 Questions |
| Edition | 2023-2024 |
Fractions Exe-6.3
ML Aggarwal Class 6 ICSE Maths Solutions
Page-114
Question 1. State which of the following fractions are proper, improper or mixed:
(i) 15/26
(ii) 17/12
(iii) 5(2/3)
(iv) 6/8
(v) 11(5/7)
(vi) 117/8
(vii) 222/333
(viii) 531/247
Answer:
(i) 15/26 = proper
(ii) 17/12 = improper
(iii) 5(2/3) = mixed
(iv) 6/8 = proper
(v) 11(5/7) = mixed
(vi) 117/8 = improper
(vii) 222/333 = proper
(viii) 531/247 = improper
Question 2. Convert the following improper fractions into mixed numbers:
(i) 17/3
(ii) 119/15
(iii) 961/13
(iv) 117/32
Answer:
(i) 17/3 = 5(2/3)
(ii) 119/15 = 7(14/15)
(iii) 961/13 = 73(12/13)
(iv) 117/32 = 3(21/32)
Question 3. Convert the following mixed number into improper fractions:
(i) 7(2/11)
(ii) 3(5/48)
(iii) 13(7/64)
(iv) 7(2/3)
Answer:
Question 4. Write the fractions representing the shaded regions and pair up the equivalent fractions from each row:
Answer:
(i) 1/2
(ii) 4/6
(iii) 3/9
(iv) 2/8
(v) 3/4
(a) 4/16
(b) 8/12
(c) 12/16
(d) 4/8
(e) 6/18
(i) ↔ (d)
(ii) ↔ (b)
(iii) ↔ (e)
(iv) ↔ (a)
(v) ↔ (c)
Question 5.
(i) Find the equivalent fraction of 15/35 with denominator 7.
(ii) Find the equivalent fraction of 2/9 with denominator 63.
Answer:
(i) 15/35 = …/7
Let the numerator be a
⇒ 15 × 7 = 35 × a
a = (15 × 7)/35
⇒ a = 3
so, 15/35 = 3/7
(ii) 2/9 = …/63
Let the numerator, which needs to be calculated as x
⇒ 2 × 63 = 9 × x
⇒ x = (2 × 63)/9
⇒ x = 14
∴ 2/9 = 14/63
Question 6. Find the equivalent fraction of 3/5 having
(i) denominator 30
(ii) numerator 27.
Answer:
(i) 3/5 having denominator 30
Multiply and divide the fraction by 6, we get
(3/5) × (6/6) = 18/30
(ii) 3/5 having numerator 27
Multiply and divide the fraction by 9, we get
(3/5) × (9/9) = 27/45
Question 7. Replace ‘…..’ in each of the following by the correct number.
Answer:
Question 8. Check whether the given pairs of fractions are equivalent:
(i) 3/10, 12/40
(ii) 5/8, 30/48
(iii) 4/6, 30/20
(iv) 7/13, 5/11
Answer:
(i) 3/10, 12/40
= 3 × 40 = 120
= 10 × 12 = 120
s0, 120 = 120
the given fractions 3/10, 12/40 are equivalent
(ii) 5/8, 30/48
= 5 × 48 = 240
= 8 × 30 = 240
so, 240 = 240
the given fractions 5/8, 30/48 are equivalent
(iii) 4/6, 30/20
= 4 × 20 = 80
= 6 × 30 = 180
so, 80 ≠ 180
the given fractions 4/6, 30/20 are not equivalent
(iv) 7/13, 5/11
= 7 × 11 = 77
= 13 × 5 = 65
so, 77 ≠ 65
the given fractions 7/13, 5/11 are not equivalent
Question 9. Reduce the following fractions to simplest form:
(i) 12/27
(ii) 150/350
(iii) 18/81
(iv) 276/115
Answer:
Fractions Exe-6.3
ML Aggarwal Class 6 ICSE Maths Solutions
Page-115
Question 10. Convert the following fractions into equivalent like fractions:
Answer:
Question 11. Raghu got a job at the age of 24 years and got retired from the job at the age of 60 years. What fractions of his age till retirement was he in job?
Answer:
Mr. Rajan got a job at the age of 24 years
he got retired from the job at the age of 60 years
Total working year =(60−24)=36 year
∴ The required fraction ⇒ 36/60 = (36 ÷ 12)/(60 ÷ 12) = 3/5
— : End of ML Aggarwal Fractions Exe-6.3 Class 6 ICSE Maths Solutions :–
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