What is 5.775 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 5.775 into a fraction.

Answer: 5.775 as a fraction equals 5775/1000 or 231/40

Here is the solution for converting 5.775 to a fraction:

Step 1:

First, we write 5.775 as

5.775/1

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!

5.775/1

5.775 x 1000/1 x 1000

5775/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 5775 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 5775 are: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
So for 5775 and 1000 that gives us a GCF value of: 25

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.

5775/1000

5775 ÷ 25/1000 ÷ 25

231/40

Good work! We have just walked through the steps on how to represent 5.775 as a fraction.

What is 5.775 as a fraction?

Answer: 5.775 as a fraction equals 5775/1000 or 231/40

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