Compute: 6/7 divided by 3/5. Simplify the answer if possible.

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

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

The reciprocal of 3/5 is 5/3.

Therefore, (6/7) ÷ (3/5) = (6/7) * (5/3).

Multiplying the numerators 6 and 5 gives 30.

Multiplying the denominators 7 and 3 gives 21.

Therefore, (6/7) ÷ (3/5) = 30/21.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.

So, 30/21 simplifies to (30 ÷ 3) / (21 ÷ 3).

30 ÷ 3 = 10, and 21 ÷ 3 = 7.

Therefore, 30/21 simplifies to 10/7.

The simplified answer is 10/7.

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