**Converting Decimal to Fraction: 0.75**

In this article, we will learn how to convert the decimal number 0.75 to a fraction.

**What is a Fraction?**

A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.

**Converting 0.75 to a Fraction**

To convert 0.75 to a fraction, we need to find the equivalent fraction that has the same value as the decimal number.

0.75 = **3/4**

**How to Convert**

To convert a decimal to a fraction, we can follow these steps:

### Step 1: Write the decimal number as a fraction with a denominator of 10

0.75 = 75/10

### Step 2: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD)

The GCD of 75 and 10 is 5. So, we divide both numbers by 5:

75 ÷ 5 = 15 10 ÷ 5 = 2

### Step 3: Write the simplified fraction

0.75 = **15/2**

**Simplifying Further**

We can simplify the fraction further by dividing both the numerator and the denominator by their GCD again:

The GCD of 15 and 2 is 1. So, we divide both numbers by 1:

15 ÷ 1 = 15 2 ÷ 1 = 2

### The Final Answer

0.75 = **3/4**

Therefore, the decimal number 0.75 is equivalent to the fraction 3/4.

**Conclusion**

Converting decimals to fractions is an important skill in mathematics. By following the steps outlined above, you can easily convert decimal numbers to fractions. Remember to always simplify your fractions to their lowest terms to make them easier to work with.