What is 59/400 as a decimal?

Today, we will walk you through how to convert 59/400 to a decimal. In this particular guide we’ll show how to use the division method, one of the easiest ways to convert a fraction to a decimal.

Solution: 59/400 as a decimal is 0.15

Methods

Method 1 – Explanation using the division method:

A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 59 by the denominator 400:

59 (numerator) ÷ 400 (denominator) = 0.15

As a result, you get 0.15 as your answer when you convert 59/400 to a decimal.

Method 2 – Explanation using the factors of 10 method:

Oftentimes it’s easier to divide a number by powers of 10 (like 10, 100, 1000 etc.) because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. The problem is that the denominator sometimes isn’t a power of 10 – like this in problem, 400 is not a power of 10.

So, what do we do? We can convert this fraction into a power of 10! 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 them into a power of 10.

How? Multiply by the numerator (top) and denominator (bottom) by the same amount that makes the denominator to a power of 10. To make 400 a power of 10, we need to multiply by 25 (400 * 25 = 10000). Now if we multiply the denominator by 25, we also need to multiply the numerator by 25 too:

592540025=147510000=0.15\frac{59 * 25}{400 * 25} = \frac{1475}{10000} = 0.15

And finally, you get 0.15 as your answer when you convert 59/400 to a decimal.

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