What is 6.456 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 6.456 into a fraction.

Answer: 6.456 as a fraction equals 6456/1000 or 807/125

Here is the solution for converting 6.456 to a fraction:

Step 1:

First, we write 6.456 as

6.456/1

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!

6.456/1

6.456 x 1000/1 x 1000

6456/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 6456 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 6456 are: 1 2 3 4 6 8 12 24 269 538 807 1076 1614 2152 3228 6456
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
So for 6456 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.

6456/1000

6456 ÷ 8/1000 ÷ 8

807/125

Good work! We have just walked through the steps on how to represent 6.456 as a fraction.

What is 6.456 as a fraction?

Answer: 6.456 as a fraction equals 6456/1000 or 807/125

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