What is 0.5785 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 0.5785 into a fraction.

Answer: 0.5785 as a fraction equals 5785/10000 or 1157/2000

Here is the solution for converting 0.5785 to a fraction:

Step 1:

First, we write 0.5785 as

0.5785/1

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!

0.5785/1

0.5785 x 10000/1 x 10000

5785/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 5785 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 5785 are: 1 5 13 65 89 445 1157 5785
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
So for 5785 and 10000 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.

5785/10000

5785 ÷ 5/10000 ÷ 5

1157/2000

Good work! We have just walked through the steps on how to represent 0.5785 as a fraction.

What is 0.5785 as a fraction?

Answer: 0.5785 as a fraction equals 5785/10000 or 1157/2000

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