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$Convert the decimal below to a fraction in simplest form. 0.64 Answer: Submit Answer$

Convert the decimal below to a fraction in simplest form. $\newline$ $0.64$ $\newline$ Answer: $\newline$ Submit Answer

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Simplify radical expressions: mixed review

Full solution

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

\newline

0.64

\newline

Answer:

\newline

Submit Answer

Write as fraction: To convert the decimal $0.64$ to a fraction, we first write it as a fraction with a denominator of $100$ , since there are two digits after the decimal point. $\newline$ $0.64 = \frac{64}{100}$
Find GCD: Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of $64$ and $100$ is $4$ .
Simplify fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $(64 \div 4) / (100 \div 4) = \frac{16}{25}$
Final fraction: The fraction $\frac{16}{25}$ is already in its simplest form because there are no common divisors between $16$ and $25$ other than $1$ .

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