What is 8.35455 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 8.35455 into a fraction.

Answer: 8.35455 as a fraction equals 835455/100000 or 167091/20000

Here is the solution for converting 8.35455 to a fraction:

Step 1:

First, we write 8.35455 as

8.35455/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

8.35455/1

8.35455 x 100000/1 x 100000

835455/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 835455 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 835455 are: 1 3 5 15 55697 167091 278485 835455
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
So for 835455 and 100000 that gives us a GCF value of: 5

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

835455/100000

835455 ÷ 5/100000 ÷ 5

167091/20000

Good work! We have just walked through the steps on how to represent 8.35455 as a fraction.

What is 8.35455 as a fraction?

Answer: 8.35455 as a fraction equals 835455/100000 or 167091/20000

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