Question

Find:

(i) $\frac{1}{3}$ of 24
(ii) $\frac{3}{4}$ of 32
(iii) $\frac{5}{9}$ of 45
(iv) $\frac{7}{50}$ of 1000
(v) $\frac{3}{20}$ of 1020
(vi) $\frac{5}{11}$ of Rs 220
(vii) $\frac{4}{9}$ of 54 metres
(viii) $\frac{6}{7}$ of 35 litres
(ix) $\frac{1}{6}$ of an hour
(x) $\frac{5}{6}$ of an year
(xi) $\frac{7}{20}$ of a kg
(xii) $\frac{9}{20}$ of a metre
(xiii) $\frac{7}{8}$ of a day
(xiv) $\frac{3}{7}$ of a week
(xv) $\frac{7}{50}$ of a litre

Answer 1

We have the following:

(i) $\frac{1}{3}$ of 24 = $24\times \frac{1}{3}=\frac{24}{1}\times \frac{1}{3}=\frac{24\times 1}{1\times 3}=8$

(ii) $\frac{3}{4}$ of 32 = $32\times \frac{3}{4}=\frac{32}{1}\times \frac{3}{4}=\frac{32\times 3}{1\times 4}=\frac{8\times 3}{1\times 1}=24$

(iii) $\frac{5}{9}$ of 45 = $45\times \frac{5}{9}=\frac{45}{1}\times \frac{5}{9}=\frac{45\times 5}{1\times 9}=\frac{5\times 5}{1\times 1}=25$

(iv) $\frac{7}{50}$ of 1000 = $1000\times \frac{7}{50}=\frac{1000}{1}\times \frac{7}{50}=\frac{20\times 7}{1\times 1}=140$

(v) $\frac{3}{20}$ of 1020 = $1020\times \frac{3}{20}=\frac{1020}{1}\times \frac{3}{20}=\frac{51\times 3}{1\times 1}=153$

(vi) $\frac{5}{11}$ of Rs 220 = Rs $\left(220\times \frac{5}{11}\right)$ = Rs (20 $\times$ 5 ) = Rs 100

(vii) $\frac{4}{9}$of 54 m = $\left(\frac{4}{9}\times 54\right)\mathrm{m}$ = (4 $\times$ 6) m = 24 m

(viii) $\frac{6}{7}$ of 35 L = $\left(\frac{6}{7}\times 35\right)\mathrm{L}$ = (6 $\times$ 5) L = 30 L

(ix) $\frac{1}{6}$ of 1 h = $\frac{1}{6}$ of 60 min = $\left(60\times \frac{1}{6}\right)$ min = 10 min

(x) $\frac{5}{6}$ of an year = $\frac{5}{6}$ of 12 months = $\left(12\times \frac{5}{6}\right)$ months = (2 $\times$ 5) months = 10 months

(xi) $\frac{7}{20}$ of a kg = $\frac{7}{20}$ of 1000 g = $\left(1000\times \frac{7}{20}\right)$ g = (50 $\times$ 7) gm = 350 g

(xii) $\frac{9}{20}$ of 1 m = $\frac{9}{20}$ of 100 cm = $\left(100\times \frac{9}{20}\right)$ cm = (5 $\times$ 9) cm = 45 cm

(xiii) $\frac{7}{8}$ of a day = $\frac{7}{8}$ of 24 h = $\left(24\times \frac{7}{8}\right)$ h = (3 $\times$ 7) = 21 h

(xiv) $\frac{3}{7}$ of a week = $\frac{3}{7}$ of 7 days = $\left(7\times \frac{3}{7}\right)$ days = 3 days

(xv) $\frac{7}{50}$ of 1 L = $\frac{7}{50}$ of 1000 ml = $\left(1000\times \frac{7}{50}\right)$ ml = (20 $\times$ 7) ml = 140 ml