Evaluate start fraction 5 over 6 end fractionƒ for ƒ = start fraction 4 over 9 end fraction

A. start fraction 10 over 27 end fraction
B. 1seven-eighths
C. start fraction 8 over 15 end fraction

1 answer

To evaluate start fraction 5 over 6 end fraction for ƒ = start fraction 4 over 9 end fraction, we simply substitute ƒ with start fraction 4 over 9 end fraction:

start fraction 5 over 6 end fraction for ƒ = start fraction 5 over 6 end fraction for start fraction 4 over 9 end fraction

Multiplying the two fractions gives us:

start fraction 5 over 6 end fraction * start fraction 4 over 9 end fraction = start fraction 20 over 54 end fraction

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

start fraction 20 over 54 end fraction = start fraction 10 over 27 end fraction

Therefore, the answer is A. start fraction 10 over 27 end fraction.