What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?

A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 7 boxes containing StartFraction 1 Over 7 EndFraction. Under the 7 boxes are 14 boxes containing StartFraction 1 Over 14 EndFraction.
A.One-fourth
B.2
C.3 and one-third
D.4

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(6/7 ) / (3/14)

multiplyto and bottom by14
2*6 / 3
= 4

To find the quotient of the fractions StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction, we need to divide the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction.

The numerator of the first fraction is 6, and the numerator of the second fraction is 3.
So, the numerator of the quotient is 6 ÷ 3 = 2.

The denominator of the first fraction is 7, and the denominator of the second fraction is 14.
So, the denominator of the quotient is 7 ÷ 14 = 1 ÷ 2 = one-half.

Therefore, the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction is 2.

The correct answer is B. 2.

To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and then divide the denominator of the first fraction by the denominator of the second fraction.

In this case, the numerator of the first fraction is 6 and the denominator is 7. The numerator of the second fraction is 3 and the denominator is 14.

So, to find the quotient, we perform the following calculations:

Numerator: 6 ÷ 3 = 2
Denominator: 7 ÷ 14 = 1/2

Therefore, the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction is 2 and one-half.

However, in the answer choices provided, we don't see 2 and one-half. The closest option is "B. 2". So, the correct answer would be option B.