How to convert 215.7658525359 as a fraction

Question: What is 215.7658525359 as a fraction?


Answer: 215.7658525359 as a fraction is 10141/47


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How to convert 215.7658525359 as a fraction?

Solution:215.7658525359 as a fraction is 10141/47

Step 1:

The first step to converting 215.7658525359 to a fraction is to re-write 215.7658525359 in the form p/q where p and q are both positive integers. To start with, 215.7658525359 can be written as simply 215.7658525359/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 215.7658525359, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 215.7658525359/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 215.7658525359/1 each by 10000000000:

2157658525359/10 / 10000000000/10 = 2157658525359 / 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 215.7658525359 as a fraction:

10141/47 / 1

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