Find the quotient. 4/7 divides 6/15 = ?

Answer: 10/7

Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.

So 4/7 : 6/15 means the same thing as 4/7 · 15/6.

So when dividing by a fraction, we can just multiply by the reciprocal of that fraction or that fraction flipped.

Next we cross cancel.

4 and 6 reduce to 2 and 3.

So we have 2/7 · 15/3.

Multiplying across the numerators and denominators we have 30/21.

Now we can reduce by dividing top and bottom by 3 and we have 10/7.

So 4/7 : 6/15 is 10/7.