What is 7.824 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 7.824 into a fraction.

Answer: 7.824 as a fraction equals 7824/1000 or 978/125

Here is the solution for converting 7.824 to a fraction:

Step 1:

First, we write 7.824 as

7.824/1

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!

7.824/1

7.824 x 1000/1 x 1000

7824/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7824 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 7824 are: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
So for 7824 and 1000 that gives us a GCF value of: 8

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.

7824/1000

7824 ÷ 8/1000 ÷ 8

978/125

Good work! We have just walked through the steps on how to represent 7.824 as a fraction.

What is 7.824 as a fraction?

Answer: 7.824 as a fraction equals 7824/1000 or 978/125

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