What is 66/100 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: 66/100 as a decimal is 0.66

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 66 by the denominator 100 to get the decimal:

66 (numerator) ÷ 100 (denominator) = 0.66

That’s it! When you convert 66/100 to a decimal, 0.66 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 100, we can convert it because it is a factor of a power of 10.

To do that, we multiply 100 by 1 to make the denominator 100. And since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:

6611001=66100=0.66\frac{66 * 1}{100 * 1} = \frac{66}{100} = 0.66

And finally, you get 0.66 as your answer when you convert 66/100 to a decimal.

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