# 0.375 as a Fraction?

### 0.375 = 3/8 (three-eighths)

How did we arrive at the answer?

Step Explanation
1) Get the number at the left side of the decimal point.  This will be your whole number. whole number =  0
2) Get the number at the right side of the decimal point.  This will be your denominator. numerator = 375
3) Count how may decimal places are there.  Put 1 as the denominator and write as many zeros as the decimal places. There are 3 decimal places, so the denominator = 1000
4) Simplify the fraction. 375/1000 = 3/8

a) Perform steps 1-3 in an instant by practicing.  You will notice that as you experience more examples, you can do these steps mentally.  The key here is to count the number of decimal places, which is equal to the number of zeros in the denominator.

Using the example above, when asked to convert 0.375 as a fraction, you can visualize it as 375/1000 since there are three decimal places, hence the denominator is 1000.

b) Practice quickly simplifying fractions with denominators of 10, 100, and 1000.  The first step to do this is to familiarize yourself with the factors of 10, 100 and 1000.

Factors of 10 are:   2, 5, 10
Factors of 100 are:   2, 4, 5, 10, 20, 25, 50, 100
Factors of 1000 are:   2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500

Given this, your primary focus when simplifying would be the numerator.  You just have to check whether the numerator is divisible by any of these factors.

Using our example, we know that 375 is divisible by 125, which is a factor of 1000.   So we simplify by dividing both numerator and denominator by 125.

375/1000 = 3/8

Other options, especially when performing mental calculation, would be to divide the numerator and denominator by smaller divisor such as 25 (you know that each hundred has four 25s).  You can then further simplify the fraction if you have smaller values to work with.

375/1000 = 15/40 = 3/8

Feel free to practice a lot to master this skill by working on the items below.  Write each decimal as a fraction.

a) 0.15

b) 0.25

c) 0.125

d) 0.35

e) 0.45

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