# Multiplying Fractions Calculator

## How many fractions?

#### Step-by-step solution:

With this calculator, you can get the product of a multiplication of two or more fractions. It is possible to multiply up to four fractions using the calculator.

## How to use the calculator to multiply fractions?

Step 1: Click on “2”, “3” or “4” depending on the number of fractions you want to multiply.

Step 2: Enter the fractions in the corresponding input boxes.

Step 3: Click on “Multiply”.

Step 4: The answer along with the step-by-step solution will be displayed at the bottom.

## How to multiply two fractions?

To multiply two fractions, we have to multiply the denominators and numerators separately. Then, we simplify the result.

#### Example 1:

Find the product of $latex \frac{3}{4}\times \frac{1}{3}$.

Solution: To multiply the fractions, we simply have to multiply the denominators and the numerators:

$$\frac{3}{4}\times \frac{1}{3}$$

$$=\frac{3\times 1}{4\times 3}$$

$$=\frac{3}{12}$$

$$=\frac{1}{4}$$

#### Example 2:

What is the product of $latex \frac{4}{5}\times \frac{5}{6}$?

Solution: Again, we just have to multiply the denominators and numerators separately and then simplify the result:

$$\frac{4}{5}\times \frac{5}{6}$$

$$=\frac{4\times 5}{5\times 6}$$

$$=\frac{20}{30}$$

$$=\frac{2}{3}$$

## How to multiply more than two fractions?

To multiply more than two fractions, we have to use the same process used to multiply two fractions. We simply have to multiply the numerators and denominators separately.

#### Example 1:

What is the product of $latex \frac{2}{3}\times \frac{1}{2}\times \frac{3}{5}$?

Solution: Here, we have a multiplication of three fractions. However, the process used is the same. We just have to multiply the numerators and denominators separately.

$$\frac{2}{3}\times \frac{1}{2}\times \frac{3}{5}$$

$$=\frac{2\times 1 \times 3}{3 \times 2 \times 5}$$

$$=\frac{6}{30}$$

$$=\frac{1}{5}$$

#### Example 2:

Find the product of $latex \frac{3}{2}\times \frac{2}{3}\times \frac{1}{4}$.

Solution: To multiply all three fractions, we just have to multiply the numerators and denominators separately. Therefore, we have:

$$\frac{3}{2}\times \frac{2}{3}\times \frac{1}{4}$$

$$=\frac{3\times 2 \times 1}{2 \times 3 \times 4}$$

$$=\frac{6}{24}$$

$$=\frac{1}{4}$$

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