Fractional Addition and Subtraction Methods Fractional addition and subtraction involve combining or separating fractions with different denominators to achi...
Fractional addition and subtraction involve combining or separating fractions with different denominators to achieve a common denominator. This allows us to add or subtract fractions with different sizes in a consistent and straightforward manner.
Adding Fractions with the Same Denominator:
To add fractions with different denominators, we first need to rewrite them with equivalent fractions using the least common multiple (LCM) of the denominators. The LCM is the smallest integer multiple of both denominators.
For example, 1/3 + 1/4 = 7/12. The LCM of 3 and 4 is 12, so we rewrite 1/3 as 4/12 and 1/4 as 3/12. Adding these fractions gives 7/12.
Subtracting Fractions with the Same Denominator:
Similar to adding, we rewrite the fractions with equivalent fractions using the LCM. The LCM is the smallest integer multiple of both denominators.
For example, 1/3 - 1/4 = 7/12. We rewrite 1/3 as 4/12 and 1/4 as 3/12. Subtracting these fractions gives 7/12.
Adding and Subtracting Fractions with Different Denominators:
To add or subtract fractions with different denominators, we first need to find a common denominator. The LCM of 3 and 4 is 12, so we rewrite 1/3 as 4/12 and 1/4 as 3/12.
Adding these fractions gives 7/12. Subtracting them gives 5/12.
Fractional Addition and Subtraction Practice:
Here are some examples of adding and subtracting fractions with different denominators:
3/5 + 1/5 = 4/5
2/3 - 1/3 = 1/3
3/4 + 1/4 = 4/4
4/5 - 2/5 = 2/5