Evlaluate start fraction 2 over 3 end fractionx for x = three-fourths

A. one-half
B. eight-ninths
C. The fraction states 9 over 8.
D. 2

2 answers

Substitute x = three-fourths into the expression:

start fraction 2 over 3 end fraction x = start fraction 2 over 3 end fraction × three-fourths

= start fraction 2 × 3 over 3 × 4 end fraction

= start fraction 6 over 12 end fraction

Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 6:

start fraction 6 over 12 end fraction = start fraction 1 over 2 end fraction

Therefore, the answer is A. one-half.
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