What is 0.7084 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 0.7084 into a fraction.

Answer: 0.7084 as a fraction equals 7084/10000 or 1771/2500

Here is the solution for converting 0.7084 to a fraction:

Step 1:

First, we write 0.7084 as

0.7084/1

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!

0.7084/1

0.7084 x 10000/1 x 10000

7084/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7084 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 7084 are: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084
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 7084 and 10000 that gives us a GCF value of: 4

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.

7084/10000

7084 ÷ 4/10000 ÷ 4

1771/2500

Good work! We have just walked through the steps on how to represent 0.7084 as a fraction.

What is 0.7084 as a fraction?

Answer: 0.7084 as a fraction equals 7084/10000 or 1771/2500

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