What is 8 3/4 as a decimal?

There are different ways to represent the same number: fractions, decimals, and even percentages. In this particular guide, let’s explore how we can use the division method to convert 8 3/4 to a decimal.

Solution: 8 3/4 as a decimal is 8.75

Methods

First step – Making the fraction improper:

The first step to changing 8 3/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 4 and add its product to 3 in the numerator to get: 35/4. Now we will attempt to convert 35/4 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 35/4 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 35 by the denominator 4:

35 (numerator) ÷ 4 (denominator) = 8.75

And there you go! We got 8.75 as the answer when you convert 8 3/4 (or 35/4) to a decimal.

Method 2 – Explanation using the factors of 10 method:

In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.

In order to make 4 a power of 10, we need to multiply by 25 (4 * 25 = 100. Since we multiplied the denominator by 25, we also need to multiply the numerator by 25 too:

$\frac{35 * 25}{4 * 25} = \frac{875}{100} = 8.75$

And finally, you get 8.75 as your answer when you convert 8 3/4 (or 35/4) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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