Write down your division problem. For example, 5/6 / 7/10.
Convert the fraction begin divided into a reciprocal by switching the numerator and denominator. In this example, you would change 7/10 to 10/7.
Multiply the reciprocal times the first fraction in the division sentence. In this example, you would multiply 5/6 * 10/7. Multiply both numerators and then both denominators. In this example, you would have 50/42.
Simplify your answer if necessary. In this example, you have an improper fraction: 50/42. The number 42 will fit into 50 once with a remainder of 8. Therefore you would write 1 8/50. You can further reduce the fraction 8/50 to 4/25, leaving you with the answer 1 4/25.