By Steph Klark Updated Aug 30, 2022

Learning to turn mixed numbers into improper fractions is a foundational skill that streamlines division, multiplication, and other calculations. With a solid grasp of the multiplication rule, the process becomes straightforward and fast.

Step 1: Multiply the whole number by the denominator

Take the whole‑number part of the mixed number and multiply it by the denominator. For example, for 4 3/7, the whole number is 4 and the denominator is 7, yielding 28.

Step 2: Add the numerator to that product

Next, add the numerator of the fraction to the product from step 1. Using the same example, add 28 + 3 = 31.

Step 3: Write the result over the original denominator

The sum becomes the new numerator, so the mixed number 4 3/7 converts to the improper fraction 31/7. This form is easier to manipulate in most arithmetic operations.

Practice with various mixed numbers, and you'll quickly master the conversion, boosting your confidence in all fractional calculations.