How to convert 1.57538461538 as a fraction

Question: What is 1.57538461538 as a fraction?


Answer: 1.57538461538 as a fraction is 512/325


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How to convert 1.57538461538 as a fraction?

Solution:1.57538461538 as a fraction is 512/325

Step 1:

The first step to converting 1.57538461538 to a fraction is to re-write 1.57538461538 in the form p/q where p and q are both positive integers. To start with, 1.57538461538 can be written as simply 1.57538461538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.57538461538, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.57538461538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.57538461538/1 each by 100000000000:

157538461538/10 / 100000000000/10 = 157538461538 / 100000000000

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 1.57538461538 as a fraction:

512/325 / 1

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