What is 157/1000 as a decimal?

There are a lot of different ways you can convert a number into (decimals, percentages, and more) but in this guide, we’ll demonstrate how to use the division method to convert a fraction to a decimal.

## Solution: 157/1000 as a decimal is 0.16

Methods

### Explanation using the division method:

Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 157 by the denominator 1000 to get the decimal:

157 (numerator) ÷ 1000 (denominator) = 0.16

That’s it! When you convert 157/1000 to a decimal, 0.16 is your answer.

### Method 2 – Explanation using the factors of 10 method:

Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.

Even if our denominator is not a power of 10, we can make it one. 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. Since our denominator is 1000, we can convert it because it is a factor of a power of 10.

To do that, we multiply 1000 by 1 to make the denominator 1000. And since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:

$\frac{157 * 1}{1000 * 1} = \frac{157}{1000} = 0.16$

And finally, you get 0.16 as your answer when you convert 157/1000 to a decimal.

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