Can $\frac{15}{20}$ be converted into the decimal number without using the long division method?
Given:
Given rational number is $\frac{15}{20}$.
To do:
We have to convert the given rational number into the decimal number without using the long division method.
Solution:
To convert a rational number into the decimal number without using the long division method multiply the denominator and numerator by a number such that the denominator becomes 10 or a multiple of $10^n$ where n is an integer. Now, the rational number so obtained decimal form is equal to the numerator with $n$ number of decimal digits after the decimal point.
$20\times5=100=10^2$
Therefore,
$\frac{15}{20}=\frac{15\times5}{20\times5}$
$=\frac{75}{100}$
$=0.75$
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