Here are some various examples of how to multiply fractions. Feel free to practice these examples, and others, with the various fraction calculators on this website.

### How to Multiply Fractions?

Example: For multiplying the fractions ^{10}/_{15} and ^{1}/_{5}, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 10 x 1 and 15 x 5

The answer is ^{10}/_{75}, then reduced to the simplest form is ^{2}/_{15}.

### 1/4 times 2

Example: For multiplying the fractions ^{1}/_{4} and 2, first convert 2 into a fraction like ^{2}/_{1}. Now, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 2 and 4 x 1

The answer is ^{2}/_{4}, then reduced to the simplest form is ^{1}/_{2}.

### 1/2 times 1/2

Example: For multiplying the fractions ^{1}/_{2} and ^{1}/_{2}. You multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 1 and 2 x 2

The answer is ^{1}/_{4}, this is the simplest form.

### 1/3 times 2

Example: For multiplying the fractions ^{1}/_{3} and 2, first convert 2 into a fraction like ^{2}/_{1}. Now, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 2 and 3 x 1

The answer is ^{2}/_{3}, this is the simplest form.

### 2/3 times 2

Example: For multiplying the fractions ^{2}/_{3} and 2, first convert 2 into a fraction like ^{2}/_{1}. Now, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 2 x 2 and 3 x 1

The answer is ^{4}/_{3}, which is a mixed fraction due to the numerator being larger than the denominator. This is also written as, 1^{1}/_{3}.

### 1/4 times 1/2

Example: For multiplying the fractions ^{1}/_{4} and ^{1}/_{2}. You multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 1 and 4 x 2

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

### 2/3 times 3

Example: For multiplying the fractions ^{2}/_{3} and 3, first convert 3 into a fraction like ^{3}/_{1}. Now, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 2 x 3 and 3 x 1

The answer is ^{6}/_{3}, which is a mixed fraction due to the numerator being larger than the denominator. This is also written as, 2^{0}/_{3}, or just 2.

### 2/3 times 1/2

Example: For multiplying the fractions ^{2}/_{3} and ^{1}/_{2}. You multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 2 x 1 and 3 x 2

The answer is ^{2}/_{6}, then reduced to the simplest form is ^{1}/_{3}.

### 1/2 times 1/2

Example: For multiplying the fractions ^{1}/_{2} and ^{1}/_{2}. You multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 1 and 2 x 2

The answer is ^{1}/_{4}, this is the simplest form.

### 1/2 times 1/4

Example: For multiplying the fractions ^{1}/_{2} and ^{1}/_{4}. You multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 1 x 1 and 2 x 4

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

### 2/3 times 2/3

Example: For multiplying the fractions ^{2}/_{3} and ^{2}/_{3}, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 2 x 2 and 3 x 3

The answer is ^{4}/_{9}, this is the simplest form.