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Write $0.74$ as a fraction. $\newline$ _____

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Convert between decimals and fractions

Full solution

Q. Write

0.74

as a fraction.

\newline

_____

Identify place value: Identify the place value of the decimal number. $\newline$ $0.74$ has a $7$ in the tenths place and a $4$ in the hundredths place. This means that $0.74$ can be written over $100$ to represent the hundredths.
Write as fraction: Write the decimal as a fraction over $100$ . Since there are two digits after the decimal point, we can write $0.74$ as $\frac{74}{100}$ .
Simplify fraction: Simplify the fraction. $\newline$ To simplify the fraction, we need to find the greatest common divisor (GCD) of $74$ and $100$ . The GCD of $74$ and $100$ is $2$ .
Divide numerator and denominator: Divide both the numerator and the denominator by the GCD. $\newline$ $74 \div 2 = 37$ $\newline$ $100 \div 2 = 50$ $\newline$ So, $\frac{74}{100}$ simplifies to $\frac{37}{50}$ .

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