What is 1.8396 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 1.8396 into a fraction.

Answer: 1.8396 as a fraction equals 18396/10000 or 4599/2500

Here is the solution for converting 1.8396 to a fraction:

Step 1:

First, we write 1.8396 as

1.8396/1

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!

1.8396/1

1.8396 x 10000/1 x 10000

18396/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 18396 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 18396 are: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396
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 18396 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.

18396/10000

18396 ÷ 4/10000 ÷ 4

4599/2500

Good work! We have just walked through the steps on how to represent 1.8396 as a fraction.

What is 1.8396 as a fraction?

Answer: 1.8396 as a fraction equals 18396/10000 or 4599/2500

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