How to convert 0.34765625 as a fraction

Question: What is 0.34765625 as a fraction?


Answer: 0.34765625 as a fraction is 89/256


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How to convert 0.34765625 as a fraction?

Solution:0.34765625 as a fraction is 89/256

Step 1:

The first step to converting 0.34765625 to a fraction is to re-write 0.34765625 in the form p/q where p and q are both positive integers. To start with, 0.34765625 can be written as simply 0.34765625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.34765625, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.34765625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.34765625/1 each by 100000000:

034765625/10 / 100000000/10 = 034765625 / 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 0.34765625 as a fraction:

89/256 / 1

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