What is 9.969 as a fraction?

Numbers can be represented in a multitude of ways, from decimals, to percentages to fractions. In this article, we will demonstrate how you can convert a decimal number to a fraction and soon you’ll be a pro at it, too!

Solution: 9.969 as a fraction is 9969/1000

Methods

Converting 9.969 to a fraction, Step-by-Step

Step 1:

The first step to converting 9.969 to a fraction is to re-write 9.969 in the form p/q where p and q are both positive integers. To start with, 9.969 can be written as simply 9.969/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 9.969, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.969/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 9.969/1 each by 1000:

9.969×10001×1000=99691000\frac{9.969 × 1000}{1 × 1000} = \frac{9969}{1000}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

99691000=99691000\frac{9969}{1000} = \frac{9969}{1000}

Convert Other Values to Fractions

Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:

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