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Question
reduce each fraction to lowest terms by first factoring the numerator and denominator into product of prime factors and then dividing out any factors they have in common.\\(\frac{20}{70}=\\)\
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Step1: Factor numerator to primes
$20 = 2 \times 2 \times 5 = 2^2 \times 5$
Step2: Factor denominator to primes
$70 = 2 \times 5 \times 7$
Step3: Cancel common prime factors
$\frac{2^2 \times 5}{2 \times 5 \times 7} = \frac{2}{7}$
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$\frac{2}{7}$