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