How to convert 156.9649 as a fraction

Question: What is 156.9649 as a fraction?


Answer: 156.9649 as a fraction is 8947/57


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How to convert 156.9649 as a fraction?

Solution:156.9649 as a fraction is 8947/57

Step 1:

The first step to converting 156.9649 to a fraction is to re-write 156.9649 in the form p/q where p and q are both positive integers. To start with, 156.9649 can be written as simply 156.9649/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 156.9649, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 156.9649/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 156.9649/1 each by 10000:

1569649/10 / 10000/10 = 1569649 / 10000

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 156.9649 as a fraction:

8947/57 / 1

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