Multiply and reduce to lowest terms. 3/4 X12 X 1 5/8

1 answer

To multiply and reduce to lowest terms, we first convert the mixed number 1 5/8 into an improper fraction.

1 5/8 = (8*1 + 5)/8 = 13/8

Now, let's multiply the three fractions:

(3/4) x 12 x (13/8)

To multiply fractions, we multiply the numerators together and the denominators together:

(3 x 12 x 13) / (4 x 8)

This simplifies to:

(36 x 13) / 32

Now, we can multiply the numbers in the numerator and denominator:

468 / 32

To reduce to lowest terms, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

(468/4) / (32/4) = 117/8

Therefore, the final answer is 117/8.