Subtraction of Fractions with Mixed Numbers
2026-02-28 18:00 Diff
https://brightchamps.com/en-us/math/numbers/subtraction-of-fractions-with-mixed-numbers

The following are the methods for subtracting fractions with mixed numbers:

Method 1: Conversion Method

To apply the conversion method for subtraction of fractions with mixed numbers, follow these steps:

Step 1: Convert each mixed number to an improper fraction.

Step 2: Find a common denominator for the fractions.

Step 3: Subtract the numerators and keep the common denominator.

Step 4: Convert the result back to a mixed number if needed and simplify.

Example: Subtract 3 1/2 from 5 3/4

Step 1: Convert to improper fractions: 7/2 and 23/4

Step 2: Common denominator is 4: 14/4 and 23/4

Step 3: Subtract: 23/4 - 14/4 = 9/4

Step 4: Convert back: 2 1/4

Method 2: Separation Method

For the separation method, subtract the whole numbers and fractions separately:

Step 1: Subtract the whole numbers.

Step 2: Subtract the fractional parts using the common denominator.

Step 3: Combine the results and simplify if needed.

Example: Subtract 6 5/8 from 9 3/8

Step 1: Subtract whole numbers: 9 - 6 = 3

Step 2: Subtract fractions: 3/8 - 5/8 = -2/8 = -1/4

Step 3: Combine: 3 - 1/4 = 2 3/4