What is 408 1/200 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 408 1/200 to a decimal.

Solution: 408 1/200 as a decimal is 408.0

Methods

First step – Making the fraction improper:

The first step to changing 408 1/200 into a decimal is to change it to an improper fraction. To do that, we need to multiply 408 by 200 and add its product to 1 in the numerator to get: 81601/200. Now we will attempt to convert 81601/200 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 81601/200 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 81601 by the denominator 200:

81601 (numerator) ÷ 200 (denominator) = 408.0

And there you go! We got 408.0 as the answer when you convert 408 1/200 (or 81601/200) 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 200 a power of 10, we need to multiply by 5 (200 * 5 = 1000. Since we multiplied the denominator by 5, we also need to multiply the numerator by 5 too:

81601∗5200∗5=4080051000=408.0\frac{81601 * 5}{200 * 5} = \frac{408005}{1000} = 408.0

And finally, you get 408.0 as your answer when you convert 408 1/200 (or 81601/200) to a decimal.

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