What is 1.07822 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 1.07822 into a fraction.

Answer: 1.07822 as a fraction equals 107822/100000 or 53911/50000

Here is the solution for converting 1.07822 to a fraction:

Step 1:

First, we write 1.07822 as

1.07822/1

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!

1.07822/1

1.07822 x 100000/1 x 100000

107822/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 107822 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 107822 are: 1 2 11 13 22 26 29 58 143 169 286 319 338 377 638 754 1859 3718 4147 4901 8294 9802 53911 107822
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
So for 107822 and 100000 that gives us a GCF value of: 2

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.

107822/100000

107822 ÷ 2/100000 ÷ 2

53911/50000

Good work! We have just walked through the steps on how to represent 1.07822 as a fraction.

What is 1.07822 as a fraction?

Answer: 1.07822 as a fraction equals 107822/100000 or 53911/50000

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