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Find the quotient in simplest form.

7one-half ÷ 3three-fourths
A. one-half
B. 2
C. 2one-half
D. 1three-fourths

1 answer

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, to solve 7one-half ÷ 3three-fourths, we need to change both fractions to have the same denominator. The least common multiple of 2 and 4 is 4, so we can rewrite the fractions as:

7 * 2/2 / 3 * 4/4

Simplifying:

14/2 / 12/4

Now, we can take the reciprocal of 12/4 and change the division operation to multiplication:

14/2 * 4/12

Simplifying:

7 * 1/3

So the quotient is 2one-third, but we need to convert this to mixed number form:

2one-third = 2 + 1/3 = 2three-thirds

Therefore, the answer is C. 2three-thirds or 2one-third in mixed number form.