TenMarks teaches you how to represent decimals less than 1 as fractions.
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Learn about Fraction Equivalents of Decimals Less than 1 Let’s learn how to write fraction equivalents of decimals and we’ll concentrate on decimals where the whole number part has got a zero value. We’ll use two problems. The first problem, let’s do this one first which is -0.5. When we are dealing with decimals which have the whole part is zero. That’s two parts to the decimal, the part before the decimal point which is the whole number part and the part after which is the decimal part. If the whole number part is zero, here are the steps that we follow. Step 1, we write the decimal without the decimal point. Write the decimal number ignoring or without the decimal point. Let’s do that first. So, 0.5 becomes 05. I just removed the decimal point. Step 2 is I fill in the denominator where the denominator is 1 followed by number of zeros and the number of zeros equals the number of digits after the decimal point. In this case, after the decimal point, we had one digit. So, the denominator will be 1 followed by 10. So, -0.5 in fraction terms, -05/10, -05 becomes negative -05/10 and -05/10 when expressed in simplest fractions or in simplest terms, I can divide by 5 both sides. 5/5 is -1, 10/5 is 2. So, the value of -.5 is 1/2 and these other two steps we follow. Let’s try our second problem which is 0.81. Let’s follow the exact two steps, 0.81. First, we right the number down without the decimal points. Second, denominator becomes the number 1 followed by as many zeros as there are digits after the decimal point. There are two digits after the decimal point, so I put two zeros. So, this becomes 81/100. This is already in simplest form, so I cannot divide it by their GCF anymore. The key things that we remember, converting a decimal to a fraction involves writing the decimal without the decimal point, Step 1. Step 2, write the denominator as 1 followed by the number of zeros where the number of zeros equals number of digits after the decimal point. In this case, it has one digit after the decimal point, so there’s one zero. In this case, there are two digits after the decimal point, so there are two zeros and then if we need to, we can write them in simplest form.

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