multiplying fractions also reduce to the lowest terms

multiplying fractions also reduce to the lowest terms

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To multiply two fractions, you multiply the numerators, and multiply the denominators.

Example:

2/3 × 4/7 = (2×4) / (3×7) = 8/21

To divide two fractions, flip the second fraction and multiply.

2/3 ÷ 4/7 = 2/3 × 7/4 = 14/12

To reduce a fraction to lowest terms, you look for the greatest common factor of the numerator and denominator.

In 14/12, you can take out a 2 since 14 = 2 × 7 and 12 = 2 × 6.

Therefore 14/12 = 7/6.