Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 0.0108 into a fraction.

Step 1: First, we write 0.0108 as

0.0108/1

Step 2: Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

0.0108/1

= 0.0108 x 10000/1 x 10000

= 108/10000

Step 3: Next, we find the Greatest Common Factor (GCF) for 108 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 108 are: 1 2 3 4 6 9 12 18 27 36 54 108

The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000

So for 108 and 10000 that gives us a GCF value of: 4

Step 4: For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

108/10000

= 108 ÷ 4/10000 ÷ 4

= 27/2500

The level of precision is the number of digits to round too. Select a lower precision point below to break decimal 0.0108 down further in fraction form. The default precision point is 5. If the last trailing digit is "5", use the "round half up" and "round half down" options to round that digit up or down, when you change the precision point.

For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.

1080/100000

= 108/10000

= 54/5000

= 27/2500

= 108/10000

= 54/5000

= 27/2500

Click any decimal to see it as a fraction:

Click a number to convert as fraction:

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