Addition, Subtraction, Multiplication and Division of Fractions

# Addition, Subtraction, Multiplication and Division of Fractions

## Addition and Subtraction of Like Fractions

To add or subtract like fractions, add or subtract the numerators, and write the sum or difference over the same denominator. The fraction obtained should be expressed in its lowest term.

## Addition and Subtraction of Unlike Fractions

If the fractions are unlike, first change the fractions to like fractions by finding the LCM of the denominators and then add or subtract.

## Addition and Subtraction of Mixed Fractions

If the fractions are mixed fractions, first change the fractions into improper fractions, and then add or subtract.

## Multiplication of Fractions

Facts to be remembered when multiplying fractions.
1.      Change the whole numbers and mixed numbers into improper fractions.
2.      Multiply: (Numerator × Numerator)/ Denominator × Denominator
3.      Reduce the fraction to its lowest terms.
4.      Convert your answer to a mixed number, if it is an improper fraction.

### Multiplication of Mixed Fractions

Division of Fractions

### Steps of dividing a fraction by another fraction

Step 1: Find the multiplicative inverse of the divisor.
Step 2: Multiply the dividend with the multiplicative inverse of the divisor and write the answer in the lowest form.

### Division of a Fraction by Another Fraction

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