How to convert 118.456 as a fraction

Question: What is 118.456 as a fraction?


Answer: 118.456 as a fraction is 14807/125


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How to convert 118.456 as a fraction?

Solution:118.456 as a fraction is 14807/125

Step 1:

The first step to converting 118.456 to a fraction is to re-write 118.456 in the form p/q where p and q are both positive integers. To start with, 118.456 can be written as simply 118.456/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 118.456, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 118.456/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 118.456/1 each by 1000:

118456/10 / 1000/10 = 118456 / 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 for 118.456 as a fraction:

14807/125 / 1

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