What is 2.82375 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 2.82375 into a fraction.

Answer: 2.82375 as a fraction equals 282375/100000 or 2259/800

Here is the solution for converting 2.82375 to a fraction:

Step 1:

First, we write 2.82375 as

2.82375/1

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!

2.82375/1

2.82375 x 100000/1 x 100000

282375/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 282375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 282375 are: 1 3 5 9 15 25 45 75 125 225 251 375 753 1125 1255 2259 3765 6275 11295 18825 31375 56475 94125 282375
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 282375 and 100000 that gives us a GCF value of: 125

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.

282375/100000

282375 ÷ 125/100000 ÷ 125

2259/800

Good work! We have just walked through the steps on how to represent 2.82375 as a fraction.

What is 2.82375 as a fraction?

Answer: 2.82375 as a fraction equals 282375/100000 or 2259/800

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