### What is a Fraction?

A fraction is a number that divides a whole number into equal parts. A fraction tells us how many parts we have from the whole part. We can identify a fraction by a slash operator written between two numbers. A fraction is made up of the two parts, which is the numerator and the denominator. For example, 1/2 is a fraction that means the top of the number **1** is the numerator, and the bottom number of the fraction **2** is the denominator. Fractions are three types.

**1. Proper Fraction: **Proper fraction is that fraction where the numerator is less than the denominator.

**2. Improper Fraction: **Improper fraction is that fraction where the numerator is greater than the denominator.

**3. Mixed Fraction: **The combination of a whole number and a proper fraction is known as the mixed fraction.

### How to multiply fractions?

Let us learn how we can multiply fractions. There are some cases to multiply fractions. These cases are given below:

**Case 1: Proper
fractions**

To multiply the proper fractions, we can follow these steps:

- Firstly, we simplify the fractions if they are not in the lowest terms.
- Then, multiply the fractionâ€™s numerators to get the new numerator.
- Finally, multiply the fractionâ€™s denominators to get the new denominator.

**Case 2: Improper
fractions**

We will follow all the steps of the proper fraction to solve the Improper fraction.

**Case 3: Mixed
fractions**

To multiply the mixed fractions, we will follow these steps:

- Change the mixed fraction into the improper fraction.
- Simplify the fraction if it is possible.
- Multiply the numerator and denominator to get the new numerator and denominator.
- Put the answer in the lowest term of the fraction.

**Solution:** Now, we convert the above problem of mixed fraction into the improper fraction, as shown below:

We can write the fraction in lowest terms, by dividing the denominator to the numerator.