Find the product and simplify 4/9 of 15/8 A. 5/6 B. 5/12 C. 32/135 D. 135/32 my answer: B
thanks
4 / 9 ∙ 15 / 8 = 4 ∙ 15 / 9 ∙ 8 = 60 / 72 = 12 ∙ 5 / 12 ∙ 6 = 5 / 6
To find the product of 4/9 and 15/8, you multiply the numerators (4 * 15) to get the new numerator and multiply the denominators (9 * 8) to get the new denominator.
The product of 4/9 and 15/8 is (4 * 15) / (9 * 8) = 60/72.
To simplify, you can find the greatest common divisor (GCD) of 60 and 72, which is 12. Divide both the numerator and denominator by 12.
60/72 ÷ 12/12 = 5/6.
So the simplified product of 4/9 and 15/8 is 5/6.
Therefore, your answer of choice B, 5/12, is incorrect. The correct answer is A. 5/6.
To find the product and simplify (4/9) * (15/8), you need to multiply the numerators and the denominators separately, and then simplify the resulting fraction if possible.
Step 1: Multiply the numerators: 4 * 15 = 60.
Step 2: Multiply the denominators: 9 * 8 = 72.
So the product is 60/72.
Next, to simplify the fraction, we need to find the greatest common factor (GCF) of the numerator and denominator. In this case, the GCF of 60 and 72 is 12.
Step 3: Divide both numerator and denominator by the GCF: 60/12 divided by 72/12.
The simplified fraction is 5/6.
Therefore, the correct answer is A. 5/6.