# SBP-Program

## Rules for adding and subtracting fractions with unlike denominators

Adding and subtracting fractions with unlike denominators explanation.

Rules for adding and subtracting fractions with different denominators:

1. Find the lowest common denominator of the fractions;
2. Change both fractions to the lowest common denominator;
4. Convert the result to a mixed fraction (if necessary).

### Example of adding fractions with unlike denominators

Problem: Add fractions with unlike denominators

1 5 + 6 12

The denominators are 6 and 12.

1. Find the lowest common denominator of the fractions.

To solve this problem, we need to find the least common multiple of the 6 and 12.

12 is exactly divisible by 6. Hence we conclude that 12 is the least common multiple of 6 and 12:

lcm(6, 12) = 12

The least common multiple of 12 and 6 is the lowest common denominator of the fractions.

So, the lowest common denominator of the fractions is 12.

2. Change both fractions to the lowest common denominator.

Divide 12 by 6:

12 ÷ 6 = 2

The 2 is the factor that we use to change the first fraction to the lowest common denominator 12.

We multiply the numerator and denominator of the first fraction by 2

1 * 2 2 = 6 * 2 12

Now the denominator of the first fraction is 12.