Question

Find the product and simplify.

start fraction 5 over 16 end fraction of start fraction 24 over 15 end fraction
A. start fraction 3 over 10 end fraction
B. one-half
C. Start Fraction 25 over 128 End Fraction
D. Start Fraction 128 over 25 End Fraction

Answer 1

First, we can simplify each fraction:

start fraction 5 over 16 end fraction = start fraction 25 over 80 end fraction

start fraction 24 over 15 end fraction = start fraction 48 over 30 end fraction = start fraction 8 over 5 end fraction

Now we can multiply:

start fraction 25 over 80 end fraction * start fraction 8 over 5 end fraction

To multiply, we multiply the numerators and denominators separately:

(25 * 8) / (80 * 5) = 200 / 400 = start fraction 1 over 2 end fraction

Therefore, the answer is B. one-half.