What is 2.58125 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 2.58125 into a fraction.

Answer: 2.58125 as a fraction equals 258125/100000 or 413/160

Here is the solution for converting 2.58125 to a fraction:

Step 1:

First, we write 2.58125 as

2.58125/1

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!

2.58125/1

2.58125 x 100000/1 x 100000

258125/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 258125 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 258125 are: 1 5 7 25 35 59 125 175 295 413 625 875 1475 2065 4375 7375 10325 36875 51625 258125
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 258125 and 100000 that gives us a GCF value of: 625

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.

258125/100000

258125 ÷ 625/100000 ÷ 625

413/160

Good work! We have just walked through the steps on how to represent 2.58125 as a fraction.

What is 2.58125 as a fraction?

Answer: 2.58125 as a fraction equals 258125/100000 or 413/160

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