Here are some various examples of different fractions being divided. Feel free to practice your work with our calculators.

### How to Divide Fractions?

Example: For dividing the fractions ^{10}/_{15} and ^{1}/_{5}, you first find the reciprocal of the second fraction. The reciprocal of ^{1}/_{5} is ^{5}/_{1} . You then multiply the first fraction by the reciprocal of the second fraction.

^{10}/_{15} ÷ ^{1}/_{5}

is the same as

^{10}/_{15} x ^{5}/_{1}

The answer is ^{50}/_{15} , reduced the simplest form is ^{10}/_{3} .

### 3/4 Divided by 2

Example: For dividing the fraction ^{3}/_{4} and 2, you change the 2 to a fraction like (^{2}/_{1}). Then you first find the reciprocal of the second fraction. The reciprocal of ^{2}/_{1} is ^{1}/_{2} . You then multiply the first fraction by the reciprocal of the second fraction.

^{3}/_{4} ÷ ^{2}/_{1}

is the same as

^{3}/_{4} x ^{1}/_{2}

The answer is ^{3}/_{8} , in the simplest form.

### 1/3 Divided by 2

Example: For dividing the fraction ^{1}/_{3} and 2, you change the 2 to a fraction like (^{2}/_{1}). Then you first find the reciprocal of the second fraction. The reciprocal of ^{2}/_{1} is ^{1}/_{2} . You then multiply the first fraction by the reciprocal of the second fraction.

^{1}/_{3} ÷ ^{2}/_{1}

is the same as

^{1}/_{3} x ^{1}/_{2}

The answer is ^{1}/_{6} , in the simplest form.

### 3 Divided by 1/3

Example: For dividing the number 3 by ^{1}/_{3}, you change the 3 to a fraction like (^{3}/_{1}). Then you first find the reciprocal of the second fraction. The reciprocal of ^{1}/_{3} is ^{3}/_{1} . You then multiply the first fraction by the reciprocal of the second fraction.

^{3}/_{1} ÷ ^{1}/_{3}

is the same as

^{3}/_{1} x ^{3}/_{1}

The answer is ^{9}/_{1} or, 9 in the simplest form.

### 1/4 Divided by 2

Example: For dividing the fraction ^{1}/_{4} and 2, you change the 2 to a fraction like (^{2}/_{1}). Then you first find the reciprocal of the second fraction. The reciprocal of ^{2}/_{1} is ^{1}/_{2} . You then multiply the first fraction by the reciprocal of the second fraction.

^{1}/_{4} ÷ ^{2}/_{1}

is the same as

^{1}/_{4} x ^{1}/_{2}

The answer is ^{1}/_{8} , in the simplest form.

### 1^{1}/_{2} Divided by 2

Example: For dividing the fraction 1^{1}/_{2} and 2, you change the mixed number 1^{1}/_{2} to a fraction. In this case, 1^{1}/_{2} becomes ^{3}/_{2}. You then convert the 2 to a fraction like (^{2}/_{1}). Now you first find the reciprocal of the second fraction. The reciprocal of ^{2}/_{1} is ^{1}/_{2} . You then multiply the first fraction by the reciprocal of the second fraction.

^{3}/_{2} ÷ ^{2}/_{1}

is the same as

^{3}/_{2} x ^{1}/_{2}

The answer is ^{3}/_{4} , in the simplest form.

### 2/3 Divided by 2

Example: For dividing the fraction ^{2}/_{3} and 2, you change the 2 to a fraction like (^{2}/_{1}). Then you first find the reciprocal of the second fraction. The reciprocal of ^{2}/_{1} is ^{1}/_{2} . You then multiply the first fraction by the reciprocal of the second fraction.

^{2}/_{3} ÷ ^{2}/_{1}

is the same as

^{2}/_{3} x ^{1}/_{2}

The answer is ^{2}/_{6}, or ^{1}/_{3} in the simplest form.