Adding and Subtracting Fractions

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, 9/10 - 7/10 = (9-7)/10 = 2/10.

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, 12/20 can be simplified by dividing both by 4, resulting in 3/5.

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to add or subtract fractions with different denominators.

To find a common denominator for 1/3 and 1/4, identify the least common multiple (LCM) of the denominators. The LCM of 3 and 4 is 12, so the common denominator is 12.

1/2 - 1/4 = 2/4 - 1/4 = 1/4.

The first step is to find a common denominator for the fractions.

Like fractions are fractions that have the same denominator, making it easier to add or subtract them.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 after simplification.

Simplifying fractions makes them easier to understand and work with, and it can help in comparing fractions.