How to convert 276.3825 as a fraction

Question: What is 276.3825 as a fraction?


Answer: 276.3825 as a fraction is 9397/34


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How to convert 276.3825 as a fraction?

Solution:276.3825 as a fraction is 9397/34

Step 1:

The first step to converting 276.3825 to a fraction is to re-write 276.3825 in the form p/q where p and q are both positive integers. To start with, 276.3825 can be written as simply 276.3825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 276.3825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 276.3825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 276.3825/1 each by 10000:

2763825/10 / 10000/10 = 2763825 / 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 276.3825 as a fraction:

9397/34 / 1

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