How to convert 242.5716796875 as a fraction

Question: What is 242.5716796875 as a fraction?


Answer: 242.5716796875 as a fraction is 137053/565


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How to convert 242.5716796875 as a fraction?

Solution:242.5716796875 as a fraction is 137053/565

Step 1:

The first step to converting 242.5716796875 to a fraction is to re-write 242.5716796875 in the form p/q where p and q are both positive integers. To start with, 242.5716796875 can be written as simply 242.5716796875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 242.5716796875, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 242.5716796875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 242.5716796875/1 each by 10000000000:

2425716796875/10 / 10000000000/10 = 2425716796875 / 10000000000

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 242.5716796875 as a fraction:

137053/565 / 1

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