Question

Express the following fractions as decimals:
(i) $\frac{23}{10}$
(ii) $25\frac{1}{8}$
(iii) $39\frac{7}{35}$
(iv) $15\frac{1}{25}$

Answer 1

i) In the given fraction, we have 2 tenths and 3 ones.

$\therefore$ $\frac{23}{10}=2.3$
ii) Let us first convert the given fraction to a proper fraction. We get:

$25\frac{1}{8}$= $\frac{201}{8}$
To convert $\frac{201}{8}$ into decimals, let us multiply the numerator and denominator separately by 125. We get:

$\frac{201\times 125}{8\times 125}=\frac{25125}{1000}=25.125$

iii)By simplifying $39\frac{7}{35}$ we get

$39\frac{7}{35}=39\frac{1}{5}$
Now let us first convert the fraction to a proper fraction. We get:
$39\frac{1}{5}=\frac{196}{5}$
Now to convert $\frac{196}{5}$ into decimals, let us multiply the numerator and denominator separately by 2. We get:
$\frac{196\times 2}{5\times 2}=\frac{392}{10}=39.2$

iv) Let us first convert the given fraction to a proper fraction. We get:

$15\frac{1}{25}$ = $\frac{376}{25}$
To convert $\frac{376}{25}$ into decimals, let us multiply the numerator and denominator separately by 4. We get:

$\frac{376\times 4}{25\times 4}=\frac{1504}{100}=15.04$