**Why 0.75 is Equal to 3/4**

Have you ever wondered why 0.75 is equivalent to 3/4? It's a common question that often sparks curiosity, especially among students who are learning about fractions and decimals. In this article, we'll dive into the world of mathematics and explore the reasons behind this equivalence.

**Understanding Fractions**

A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). In the case of 3/4, the numerator is 3, and the denominator is 4. This fraction represents three equal parts out of a total of four parts.

**Understanding Decimals**

A decimal, on the other hand, is a way to represent a fraction using a base-10 number system. Decimals are expressed using digits 0-9, and they can be divided into two parts: the whole part and the fractional part. In the case of 0.75, the whole part is 0, and the fractional part is 0.75.

**Converting Fractions to Decimals**

So, how do we convert a fraction like 3/4 to a decimal? The answer is simple: we divide the numerator by the denominator. In this case, we divide 3 by 4, which gives us:

3 ÷ 4 = 0.75

### Why 0.75 is Equal to 3/4

Now that we've converted the fraction to a decimal, let's explore why 0.75 is equal to 3/4.

**Visual Representation**

Imagine a pie that is divided into four equal parts. If you take three of those parts, you'll have 3/4 of the pie. Now, if you were to express this fraction as a decimal, you would get 0.75. This is because 3/4 is equivalent to 75% of the whole pie.

**Equivalent Ratios**

Another way to think about it is to consider equivalent ratios. A ratio is a comparison of two quantities. In this case, the ratio of 3 to 4 is equivalent to the ratio of 0.75 to 1. This means that if you multiply both numbers in the ratio by the same value, the ratio remains the same.

For example, if you multiply 3 and 4 by 2, you get:

6:8

This ratio is still equivalent to 3:4, and it's also equivalent to 0.75:1.

**Conclusion**

In conclusion, 0.75 is equal to 3/4 because they represent the same proportion of a whole. Whether you express it as a fraction or a decimal, the value remains the same. By understanding the concepts of fractions, decimals, and equivalent ratios, you can gain a deeper appreciation for the world of mathematics and make sense of seemingly complex equations.