- Multiply and Divide Fractions
- Home
- Product of a Unit Fraction and a Whole Number
- Product of a Fraction and a Whole Number: Problem Type 1
- Introduction to Fraction Multiplication
- Fraction Multiplication
- Product of a Fraction and a Whole Number Problem Type 2
- Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction
- Modeling Multiplication of Proper Fractions
- Multiplication of 3 Fractions
- Word Problem Involving Fractions and Multiplication
- The Reciprocal of a Number
- Division Involving a Whole Number and a Fraction
- Fraction Division
- Fact Families for Multiplication and Division of Fractions
- Modeling Division of a Whole Number by a Fraction
- Word Problem Involving Fractions and Division

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# Fraction Division

Dividing a fraction by a fraction is **fraction division**.

### Rules for Fraction Division

To divide, we convert the fraction division process into fraction multiplication process by using following steps

We change the '÷' (division sign) into '×' (multiplication sign) and write the reciprocal of number to right of the sign.

We multiply the numerators.

We multiply the denominators.

We simplify and re-write the fraction, if required, in simplest form.

Divide $\frac{3}{8}$ ÷ $\frac{5}{12}$

### Solution

**Step 1:**

Since dividing by a fraction is same as multiplying by its reciprocal

$\frac{3}{8}$ ÷ $\frac{5}{12}$ = $\frac{3}{8}$ × $\frac{12}{5}$ = $\frac{(3 × 3)}{(2 × 5)}$ = $\frac{9}{10}$

**Step 2:**

So, $\frac{3}{8}$ ÷ $\frac{5}{12}$ = $\frac{9}{10}$

Divide $\frac{5}{6}$ ÷ $\frac{7}{9}$

### Solution

**Step 1:**

Since dividing by a fraction is same as multiplying by its reciprocal

$\frac{5}{6}$ ÷ $\frac{7}{9}$ = $\frac{5}{6}$ × $\frac{9}{7}$ = $\frac{(5 × 3)}{(2 × 7)}$ = $\frac{15}{14}$

**Step 2:**

So, $\frac{5}{6}$ ÷ $\frac{7}{9}$ = $\frac{15}{14}$