# SBP-Program

## Subtracting fractions and mixed numbers

How to subtract fractions and mixed numbers?

Rules for subtracting fractions and mixed numbers:

1. Convert the mixed number to improper fraction;
2. Subtract these two fractions;
3. Convert the result to a mixed fraction.

### Example of subtracting fractions and mixed numbers

Subtract a fraction and a mixed number:

7 1 - 2 11 17

1. The mixed number is equal to the improper fraction:

 1 35 2 = 17 17

2. We subtract the fractions:

7 35 - 11 17

The denominators are 17 and 11.

The least common multiple of 17 and 11:

lcm(17, 11) = 187

The least common multiple is the lowest common denominator of the fractions.

So, the lowest common denominator of the fractions is 187.

Change the first fraction to the lowest common denominator

7 * 17 119 = 11 * 17 187

Change the second fraction to the lowest common denominator

35 * 11 385 = 17 * 11 187

Subtract the fractions

119 385 266 - = - 187 187 187

3. Convert the result to a mixed fraction

 266 79 - = -1 187 187