What is 7.6875 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 7.6875 into a fraction.

Answer: 7.6875 as a fraction equals 76875/10000 or 123/16

Here is the solution for converting 7.6875 to a fraction:

Step 1:

First, we write 7.6875 as

7.6875/1

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!

7.6875/1

7.6875 x 10000/1 x 10000

76875/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 76875 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 76875 are: 1 3 5 15 25 41 75 123 125 205 375 615 625 1025 1875 3075 5125 15375 25625 76875
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 76875 and 10000 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.

76875/10000

76875 ÷ 625/10000 ÷ 625

123/16

Good work! We have just walked through the steps on how to represent 7.6875 as a fraction.

What is 7.6875 as a fraction?

Answer: 7.6875 as a fraction equals 76875/10000 or 123/16

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