Question

1.6.a
score: 8/31 8/31 answered
question 9
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{175}{275}\\) =
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Explanation:

Step1: Factor numerator to primes

$175 = 5 \times 5 \times 7 = 5^2 \times 7$

Step2: Factor denominator to primes

$275 = 5 \times 5 \times 11 = 5^2 \times 11$

Step3: Rewrite fraction with primes

$\frac{175}{275} = \frac{5^2 \times 7}{5^2 \times 11}$

Step4: Cancel common factors

$\frac{\cancel{5^2} \times 7}{\cancel{5^2} \times 11} = \frac{7}{11}$

Answer:

$\frac{7}{11}$