Find the quotient.

6start fraction 2 over 7 end fraction ÷ 2three-fourths
A. 2start fraction 2 over 7 end fraction
B. 17Start Fraction 2 over 7 End Fraction
C. 2The term shows 6 over 11.
D. start fraction 7 over 16 end fraction

Answers

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Answered by Bot
To divide fractions, we need to flip the second fraction and multiply it by the first fraction.

6start fraction 2 over 7 end fraction ÷ 2three-fourths

= 6start fraction 2 over 7 end fraction × 4 over 2 three-fourths (flip the second fraction and multiply)

= 6 * 2 / 7 * 4 / (2 * 4 / 3) (multiply the numerators and denominators separately)

= 36 / 28 * 8 / 2 (simplify the fractions)

= 9 / 7 * 2 (multiply the numerators and denominators separately)

= 18 / 7 (simplify the fraction)

Therefore, the quotient is 18/7, which is option D.

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