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$Convert the decimal below to a fraction in simplest form. 0.78 Answer:$

Convert the decimal below to a fraction in simplest form. $\newline$ $0.78$ $\newline$ Answer:

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Write fractions in lowest terms

Full solution

Q. Convert the decimal below to a fraction in simplest form.

\newline

0.78

\newline

Answer:

Convert to Fraction: Write the decimal as a fraction with a denominator of $100$ , since there are two decimal places. $0.78 = \frac{78}{100}$
Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $78$ and $100$ is $2$ .
Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $78 \div 2 = 39$ $\newline$ $100 \div 2 = 50$ $\newline$ So, $\frac{78}{100}$ simplifies to $\frac{39}{50}$ .

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