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# What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25 # What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

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Decimals asked 2021-03-07
What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

## Answers (1) 2021-03-08
Step 1 Writing the prime factors of each denominators of the fraction We have the fraction $$\displaystyle\frac{{1}}{{2}},\frac{{1}}{{4}},\frac{{1}}{{5}},\frac{{1}}{{8}},\frac{{1}}{{10}},\frac{{1}}{{16}},\frac{{1}}{{20}},\frac{{1}}{{25}}$$ Step 2 Now, Prime factor of $$\displaystyle{2}={2}$$ Prime factor of $$\displaystyle{4}={2}\cdot{2}$$ Prime factor of $$\displaystyle{5}={5}$$ Prime factor of $$\displaystyle{8}={2}\cdot{2}\cdot{2}$$ Prime factor of $$\displaystyle{10}={2}\cdot{5}$$ Prime factor of $$\displaystyle{16}={2}\cdot{2}\cdot{2}\cdot{2}$$ Prime factor of $$\displaystyle{20}={2}\cdot{2}\cdot{5}$$ Prime factor of $$\displaystyle{25}={5}\cdot{5}$$

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