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.
