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