Find the product of \(\frac{2}{3} \times \frac{4}{7} \times \frac{14}{5}\).
Answer (3)
To multiply fractions, the numerator of the product is the product of the numerators, likewise for the denominators.
(2/3) x (4/7) x (14/5) = (2 x 4 x14) / (3 x 7 x 5)
= (112) / (105) = 1 and 1/15 .
3 2 ∗ 7 4 ∗ 5 14 = 3 ∗ 7 ∗ 5 2 ∗ 4 ∗ 14 = 105 112 = 1 105 7
The product of the fractions 3 2 × 7 4 × 5 14 is 105 112 , which can also be expressed as the mixed number 1 105 7 .
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