Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

start fraction, 2, divided by, 3, end fraction, divided by, start fraction, 6, divided by, 7, end fraction
3
2

÷
7
6

3 answers

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

The reciprocal of a fraction is obtained by swapping the numerator and denominator.

So, the reciprocal of the second fraction is start fraction 7, divided by 6, end fraction.

Now, we can multiply the two fractions:

start fraction 2, divided by 3, end fraction × start fraction 7, divided by 6, end fraction

= (2/3) × (7/6)

To simplify this expression, we can cancel common factors.

The numerator 2 has no common factors with the denominator 6, so it remains the same.

The numerator 7 has no common factors with the denominator 3, so it remains the same.

Therefore, the simplified fraction is:

start fraction 2, divided by 3, end fraction × start fraction 7, divided by 6, end fraction = (2/3) × (7/6) = 14/18

The simplified answer is start fraction 14, divided by 18, end fraction.

what is the answer

The answer is 7/9.