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Write $0.65$ as a fraction. $\newline$ _____

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Convert between decimals and fractions

Full solution

Q. Write

0.65

as a fraction.

\newline

_____

Understand the decimal: Understand the decimal $0.65$ $\newline$ $0.65$ is a decimal number where the digit $6$ is in the tenths place and the digit $5$ is in the hundredths place. This means that $0.65$ is the same as $65$ hundredths.
Write as a fraction: Write $0.65$ as a fraction $\newline$ Since $0.65$ is $65$ hundredths, it can be written as the fraction $\frac{65}{100}$ .
Simplify the fraction: Simplify the fraction $\newline$ To simplify the fraction $\frac{65}{100}$ , we need to find the greatest common divisor (GCD) of $65$ and $100$ . The GCD of $65$ and $100$ is $5$ . $\newline$ Divide both the numerator and the denominator by $5$ to simplify the fraction. $\newline$ $(65 \div 5) / (100 \div 5) = \frac{13}{20}$

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