What is 0.782 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 0.782 into a fraction.

Answer: 0.782 as a fraction equals 782/1000 or 391/500

Here is the solution for converting 0.782 to a fraction:

Step 1:

First, we write 0.782 as

0.782/1

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!

0.782/1

0.782 x 1000/1 x 1000

782/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 782 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 782 are: 1 2 17 23 34 46 391 782
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
So for 782 and 1000 that gives us a GCF value of: 2

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.

782/1000

782 ÷ 2/1000 ÷ 2

391/500

Good work! We have just walked through the steps on how to represent 0.782 as a fraction.

What is 0.782 as a fraction?

Answer: 0.782 as a fraction equals 782/1000 or 391/500

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