Convert each of the following decimals into fraction in lowest terms;
$0.075$

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Solution

Conversion of decimal into fraction
As there are three digits after decimal in $0.075$ so multiply and divide the given decimal by $1000$ we get,
$\frac{0.075}{1000} \times 1000 = \frac{75}{1000}$
Dividing numerator and denominator by $25$ we get,
$\frac{750 \div 25}{1000 \div 25}$ $= \frac{3}{40}$ .
Hence, the required fraction in the lowest term is $\frac{3}{40}$

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