What is 7.3125 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 7.3125 into a fraction.

Answer: 7.3125 as a fraction equals 73125/10000 or 117/16

Here is the solution for converting 7.3125 to a fraction:

Step 1:

First, we write 7.3125 as

7.3125/1

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!

7.3125/1

7.3125 x 10000/1 x 10000

73125/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 73125 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 73125 are: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 625 975 1125 1625 1875 2925 4875 5625 8125 14625 24375 73125
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 73125 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.

73125/10000

73125 ÷ 625/10000 ÷ 625

117/16

Good work! We have just walked through the steps on how to represent 7.3125 as a fraction.

What is 7.3125 as a fraction?

Answer: 7.3125 as a fraction equals 73125/10000 or 117/16

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