Class 6 - Mathematics
Chapter - Fractions and Decimals : Exercise 2.2
Top Block 1
Question: 1.Which of the drawings (a) to (d) show:
(i)2 × 1⁄5
(ii)2 × 1⁄2
(iii)3 × 2⁄3
(iv)3 × 1⁄4
Answer :
(i) – (d) Since 2 × 1⁄5 = 1⁄5 + 1⁄5
(ii) – (b) Since 2 × 1⁄2 = 1⁄2 + 1⁄2
(iii) – (a) Since 3 × 2⁄3 = 2⁄3 + 2⁄3 + 2⁄3
(iv) – (c) Since 3 × 1⁄4 = 1⁄4 + 1⁄4 + 1⁄4
Question: 2.Some pictures (a) to (c) are given below. Tell which of them show:
(i)3 × 1⁄5 = 3⁄5(ii)2 × 1⁄3 = 2⁄5
(iii)3 × 3⁄4 = 21⁄4
Mddle block 1
Answer :
(i) – (c) Since 3 × 1⁄5 = 1⁄5 + 1⁄5 + 1⁄5
(ii) – (a) Since 2 × 1⁄3 = 1⁄3 + 1⁄3
(iii) – (b) Since 3 × 3⁄4 = 3⁄4 + 3⁄4 + 3⁄4
Question: 3.Multiply and reduce to lowest form and convert into a mixed fraction:
(i) 7 × 3⁄5
(ii) 4 × 1⁄3
(iii) 2 × 6⁄7
(iv) 5 × 2⁄9
(v) 2⁄3 × 4
(vi) 5⁄2 × 6
(vii) 11 × 4⁄7
(viii) 20 × 4⁄5
(ix) 13 × 1⁄3
(x) 15 × 3⁄5
Answer :
Question: 4.Shade:
(i) 1⁄2 of the circles in box
(ii) 2⁄3 of the triangles in box
(iii) 3⁄5 of the squares inbox
Answer :
(i) 1⁄2 of 12 circles = 1⁄2 × 12 = 6 circles
Question: 5.Find:
(a) 1⁄2 of (i) 24 (ii) 46
(b) 2⁄3 of (i) 18 (ii) 27
(c) 3⁄4 of (i) 16 (ii) 36
(d) 4⁄5 of (i) 20 (ii) 35
Answer :
(a)
(i) 1⁄2 of 24 = 12
(ii) 1⁄2 of 46 = = 23
(b)
(i) 2⁄3 of 18 = 2⁄3 × 18 = 2 x 6 = 12
(ii) 2⁄3 of 27 = 2⁄3 × 27 = 2 x 9 = 18
(c)
(i) 3⁄4 of 16 = 3⁄4 × 16 = 3 x 4 = 12
(ii) 3⁄4 of 36 = 3⁄4 × 36 = 3 x 9 = 27
(d)
(i) 4⁄5 of 20 = 4⁄5 × 20 = 4 x 4 = 16
(ii) 4⁄5 of 35 = 4⁄5 × 35 = 4 x 7 = 28
Question: 6.Multiply and express as a mixed fraction:
(a) 3 × 51⁄5
(b) 5 × 63⁄4
(c) 7 × 21⁄4
(d) 4 × 61⁄3
(e) 31⁄4 × 6
(f) 32⁄5 × 8
Answer :
Question: 7.Find:
(a) 1⁄2 of (i) 23⁄4 (ii) 42⁄9
(b) 5⁄8 of (i) 35⁄6 (ii) 92⁄3
Answer :
(a)
Question: 8. Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2⁄5 of the water. Pratap consumed the remaining water.
(i)How much water did Vidya drink?
(ii)What fraction of the total quantity of water did Pratap drink?
Answer :
Given: Total quantity of water in bottle = 5 litres
(i) Vidya consumed = 2⁄5 of 5 litres = 2⁄5 × 5 = 2 litres
Thus, Vidya drank 2 litres water from the bottle.
(ii) Pratap consumed = (1–2⁄5) part of bottle
= 5–2⁄5=2⁄5 part of bottle
Pratap consumed 35 of 5 litres water = 2⁄5 × 5 = 3 litres
Thus, Pratap drank 2⁄5 part of the total quantity of water.