Write each of the following as decimals:
(a) $ \frac{5}{10} $
(b) $ 3+\frac{7}{10} $
(c) $ 200+60+5+\frac{1}{10} $
(d) $ 70+\frac{8}{10} $
(e) $ \frac{88}{10} $
(f) $ 4 \frac{2}{10} $
(g) $ \frac{3}{2} $
(h) $ \frac{2}{5} $
(i) $ \frac{12}{5} $
(j) $ 3 \frac{3}{5} $
(k) $ 4 \frac{1}{2} $


To do:

We have to express the given expressions as decimals. 

Solution: 

(a) $\frac{5}{10}$

$=0.5$

Therefore,

$\frac{5}{10}=0.5$

(b) $3+ \frac{7}{10}=3+0.7$

$=3.7$

Therefore,

$3+\frac{7}{10}=3.7$

(c) $200+60+5+\frac{1}{10}=200+60+5+0.1$

$=265.1$

Therefore,

$200+60+5+\frac{1}{10}=265.1$

(d) $70+\frac{8}{10}=70+0.8$

$=70.8$

Therefore,

$70+\frac{8}{10}=70.8$

(e) $\frac{88}{10}=\frac{80+8}{10}$

$=\frac{80}{10}+\frac{8}{10}$

$=8+0.8$

$=8.8$

Therefore,

$\frac{88}{10}=8.8$

(f) $4 \frac{2}{10}=4+\frac{2}{10}$

$=4+0.2$

$=4.2$

Therefore,

$4 \frac{2}{10}=4.2$

(g) $\frac{3}{2}=\frac{2+1}{2}$

$=\frac{2}{2}+\frac{1}{2}$

$=1+0.5$

$=1.5$

Therefore,

$\frac{3}{2}=1.5$

(h) $\frac{2}{5}=\frac{2\times2}{5\times2}$

$=\frac{4}{10}$

$=0.4$

Therefore,

$\frac{2}{5}=0.4$ 

(i) $\frac{12}{5}=\frac{10+2}{5}$

$=\frac{10}{5}+\frac{2}{5}$

$=2+0.4$

$=2.4$

Therefore,

$\frac{12}{5}=2.4$ 

(j) $3 \frac{3}{5}=3+\frac{3}{5}$

$=3+0.6$

$=3.6$

Therefore,

$3 \frac{3}{5}=3.6$

(k) $4 \frac{1}{2}=4+\frac{1}{2}$

$=4+0.5$

$=4.5$

Therefore,

$4 \frac{1}{2}=4.5$

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Updated on: 10-Oct-2022

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