How to convert 1948.79678571 as a fraction

Question: What is 1948.79678571 as a fraction?


Answer: 1948.79678571 as a fraction is 114979/59


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How to convert 1948.79678571 as a fraction?

Solution:1948.79678571 as a fraction is 114979/59

Step 1:

The first step to converting 1948.79678571 to a fraction is to re-write 1948.79678571 in the form p/q where p and q are both positive integers. To start with, 1948.79678571 can be written as simply 1948.79678571/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1948.79678571, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1948.79678571/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1948.79678571/1 each by 100000000:

194879678571/10 / 100000000/10 = 194879678571 / 100000000

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 1948.79678571 as a fraction:

114979/59 / 1

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