10 Examples of Multiplication of Fractions with Answers

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

Therefore, we can write the multiplication as follows:

$$\frac{4}{5}\times \frac{2}{3}$$

$$\frac{4 \times 2}{5 \times 3}$$

Solving the multiplications in the numerator and the denominator, we have:

$$=\frac{8}{15}$$

The fraction is already simplified.

We can solve the multiplication of fractions by rewriting the fractions as follows:

$$\frac{5}{7}\times \frac{3}{2}$$

$$=\frac{5 \times 3}{7 \times 2}$$

Now, we solve the multiplications in the numerator and the denominator:

$$=\frac{15}{14}$$

We can simplify the fraction by writing it as a mixed fraction:

$$=1\frac{1}{14}$$

In this case, we have a multiplication of three fractions. However, we can solve it in the same way. Thus, we write the multiplication as follows:

$$\frac{1}{2}\times \frac{1}{3}\times \frac{5}{4}$$

$$=\frac{1\times 1 \times 5}{2 \times 3 \times 4}$$

Now, we can solve the multiplications in the numerator and the denominator:

$$=\frac{1\times 1 \times 5}{2 \times 3 \times 4}$$

$$=\frac{5}{24}$$

The fraction is already simplified.

To solve this multiplication, we can write the fractions as follows:

$$\frac{3}{4}\times \frac{4}{7} \times \frac{3}{5}$$

$$=\frac{3\times 4 \times 3}{4\times 7 \times 5}$$

Before multiplying, we can see that we have a 4 in the numerator and a 4 in the denominator. Therefore, we can simplify:

$$=\frac{3\times 1 \times 3}{1\times 7 \times 5}$$

Multiplying, we have:

$$=\frac{9}{35}$$

The fraction is already simplified.

In this case, we have a multiplication of fractions with a whole number. Therefore, we can write as follows:

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

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

Then, we write the multiplication like this:

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

We can simplify both 2's in the numerator with the 4 in the denominator:

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

Multiplying, we have:

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

In this case, we have a mixed fraction. Therefore, we start by converting the mixed fraction to an improper fraction:

$$2\frac{3}{4}\times \frac{2}{5}$$

$$=\frac{11}{4}\times \frac{2}{5}$$

Now, we write the multiplication as follows:

$$\frac{11\times 2}{4 \times 5}$$

We can simplify the 2 in the numerator with the 4 in the denominator:

$$=\frac{11\times 1}{2 \times 5}$$

Multiplying, we have:

$$=\frac{11}{10}$$

We can write as a mixed fraction:

$$=1\frac{1}{10}$$

We have a multiplication of mixed fractions, so we start by converting them to improper fractions:

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

$$=\frac{7}{3}\times \frac{13}{4}$$

Now, we write the multiplication as follows:

$$=\frac{7 \times 13}{3\times 4}$$

Multiplying, we have:

$$=\frac{91}{12}$$

Now, we can write as a mixed fraction:

$$=7\frac{7}{12}$$

We start by writing the mixed fraction as an improper fraction:

$$\frac{1}{5}\times 1\frac{3}{4}\times \frac{1}{2}$$

$$=\frac{1}{5}\times \frac{7}{4}\times \frac{1}{2}$$

Now, we write the multiplication as follows:

$$=\frac{1\times 7 \times 1}{5\times 4\times 2}$$

Multiplying, we have:

$$=\frac{7}{40}$$

This fraction is already simplified.

Converting the mixed fractions to improper fractions, we have:

$$2\frac{2}{3}\times \frac{1}{3}\times 1\frac{5}{7}$$

$$=\frac{8}{3}\times \frac{1}{3}\times \frac{12}{7}$$

Now, we can write the multiplication as follows:

$$=\frac{8\times 1 \times 12}{3\times 3\times 7}$$

We can simplify the 12 in the numerator with the 3 in the denominator:

$$=\frac{8\times 1 \times 4}{1\times 3\times 7}$$

Multiplying, we have:

$$=\frac{32}{21}$$

Writing as a mixed fraction, we have:

$$=1\frac{11}{21}$$

We write the mixed fractions as improper fractions:

$$2\frac{3}{4}\times 1\frac{2}{3}\times 1\frac{4}{5}$$

$$\frac{11}{4}\times \frac{5}{3}\times \frac{9}{5}$$

Now, we write the multiplication of fractions like this:

$$\frac{11\times 5 \times 9}{4\times 3\times 5}$$

Simplifying the 5 in the numerator with the 5 in the denominator and the 9 in the numerator with the 3 in the denominator, we have:

$$\frac{11\times 1 \times 3}{4\times 1\times 1}$$

Multiplying, we have:

$$=\frac{33}{4}$$

Writing as a mixed fraction, we have:

$$=8\frac{1}{4}$$