Mixed and Improper Fractions - Arithmetic Step by Step

Convert the mixed number 2 3/5 to the improper fraction 13/5, then convert back. Multiply the whole part by the denominator, add the numerator, and place the result over the denominator.

Example

mixed-and-improper.math

2 3/5

step: 2 x 5 = 10
step: 10 + 3 = 13
step: 2 3/5 = 13/5
step: 13 ÷ 5 = 2 remainder 3
step: 13/5 = 2 3/5

mixed-improper-conversion A mixed number like 2 3/5 means 2 whole pieces plus 3/5. To write it as a single fraction, count all fifths: 2 × 5 = 10, plus 3 = 13 fifths. To go back, divide: 13 ÷ 5 = 2 remainder 3, so 13/5 = 2 3/5.