What is 7.40952 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 7.40952 into a fraction.

Answer: 7.40952 as a fraction equals 740952/100000 or 92619/12500

Here is the solution for converting 7.40952 to a fraction:

Step 1:

First, we write 7.40952 as  
7.40952/1

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!
7.40952/1
  =  
7.40952 x 100000/1 x 100000
  =  
740952/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 740952 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 740952 are: 1  2  3  4  6  8  9  12  18  24  36  41  72  82  123  164  246  251  328  369  492  502  738  753  984  1004  1476  1506  2008  2259  2952  3012  4518  6024  9036  10291  18072  20582  30873  41164  61746  82328  92619  123492  185238  246984  370476  740952 
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 740952 and 100000 that gives us a GCF value of: 8

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.
740952/100000
  =  
740952 ÷ 8/100000 ÷ 8
  =  
92619/12500


Good work! We have just walked through the steps on how to represent 7.40952 as a fraction.

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