Question

(a) Nisha had 55 balloons; she gave 46 balloons to Astha. What fraction of the balloons is left with Nisha? If Ashta loses 6 ballons what fraction of balloons in left with her?

(b) Sameera purchased $3\frac{1}{2}$ kg apples and $4\frac{3}{4}$ kg oranges. What is the total weight of fruits purchased by her?

(c) Solve : $2\frac{2}{3}+3\frac{1}{2}$ [4 MARKS]

Answer 1

(a) Concept: 1 Mark
Solution: 1 Mark
(b) Solution: 1 Mark
(c) Solution: 1 Mark

(a) Total no of balloons = 55

Balloons left with Nisha = 55 - 46 = 9

Fraction of balloon left = $\frac{9}{55}$

Balloons left with Nisha = 46 - 6 = 40

Fraction of balloon left with Nisha = $\frac{40}{46}=\frac{20}{23}$


(b)The total weight of the fruits = $3\frac{1}{2}+4\frac{3}{4}$

= $\frac{7}{2}+\frac{19}{4}$

= $\frac{14}{4}+\frac{19}{4}$

= $\frac{33}{4}$

= $8\frac{1}{4}$


(c) $2\frac{2}{3}+3\frac{1}{2}=\frac{8}{3}+\frac{7}{2}$

$=\frac{8\times 2+7\times 3}{6}$

$=\frac{16+21}{6}$

$=\frac{37}{6}$

$=6\frac{1}{6}$