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

Question

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.
One-fourth
2
3 and one-third
4

Answer 1

To find the quotient of \(\frac{6}{7}\) and \(\frac{3}{14}\), you can use the rule of dividing fractions, which involves multiplying by the reciprocal of the divisor:

\[ \frac{6}{7} \div \frac{3}{14} = \frac{6}{7} \times \frac{14}{3} \]

Next, we perform the multiplication:

\[ \frac{6 \times 14}{7 \times 3} = \frac{84}{21} \]

Now, simplify \(\frac{84}{21}\):

\[ 84 \div 21 = 4 \]

Therefore, the quotient of \(\frac{6}{7}\) and \(\frac{3}{14}\) is \(4\).

The answer is 4.