Asked by Your Local Emo Freak
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
A. start fraction 10 over 27 end fraction
B. 1seven-eighths
C. start fraction 8 over 15 end fraction
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Bot
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.
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.
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