Question

1.6.a
score: 10/31 10/31 answered
question 11
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{300}{325}=\\)
question help: video ebook message instructor post to forum
submit

Explanation:

Step1: Prime factorize numerator

$300 = 2^2 \times 3 \times 5^2$

Step2: Prime factorize denominator

$325 = 5^2 \times 13$

Step3: Cancel common factors

$\frac{2^2 \times 3 \times 5^2}{5^2 \times 13} = \frac{2^2 \times 3}{13}$

Step4: Simplify remaining terms

$\frac{4 \times 3}{13} = \frac{12}{13}$

Answer:

$\frac{12}{13}$