How to convert 870.21796875 as a fraction

Question: What is 870.21796875 as a fraction?


Answer: 870.21796875 as a fraction is 20015/23


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How to convert 870.21796875 as a fraction?

Solution:870.21796875 as a fraction is 20015/23

Step 1:

The first step to converting 870.21796875 to a fraction is to re-write 870.21796875 in the form p/q where p and q are both positive integers. To start with, 870.21796875 can be written as simply 870.21796875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 870.21796875, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 870.21796875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 870.21796875/1 each by 100000000:

87021796875/10 / 100000000/10 = 87021796875 / 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 870.21796875 as a fraction:

20015/23 / 1

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