Math Tutor Explains: What is 120 105/100 as a decimal?

Our math tutors share that 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 120 105/100 to a decimal.

Math Tutor Solution: 120 105/100 as a decimal is 121.05

Methods

First step – Making the fraction improper:

The first step to changing 120 105/100 into a decimal is to change it to an improper fraction. To do that, we need to multiply 120 by 100 and add its product to 105 in the numerator to get: 12105/100. Now we will attempt to convert 12105/100 to a decimal using one of the following methods:

Method 1 from a math tutor – Explanation using the division method:

One method to convert 12105/100 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 12105 by the denominator 100:

12105 (numerator) ÷ 100 (denominator) = 121.05

And there you go! We got 121.05 as the answer when you convert 120 105/100 (or 12105/100) to a decimal.

Method 2 from a math tutor – 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 100 a power of 10, we need to multiply by 1 (100 * 1 = 100. Since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:

12105∗1100∗1=12105100=121.05\frac{12105 * 1}{100 * 1} = \frac{12105}{100} = 121.05

And finally, you get 121.05 as your answer when you convert 120 105/100 (or 12105/100) to a decimal.

Math tutor suggests: Practice more problems!

All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:

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