What is 1.74825 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 1.74825 into a fraction.

Answer: 1.74825 as a fraction equals 174825/100000 or 6993/4000

Here is the solution for converting 1.74825 to a fraction:

Step 1:

First, we write 1.74825 as  
1.74825/1

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!
1.74825/1
  =  
1.74825 x 100000/1 x 100000
  =  
174825/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 174825 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 174825 are: 1  3  5  7  9  15  21  25  27  35  37  45  63  75  105  111  135  175  185  189  225  259  315  333  525  555  675  777  925  945  999  1295  1575  1665  2331  2775  3885  4725  4995  6475  6993  8325  11655  19425  24975  34965  58275  174825 
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 174825 and 100000 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.
174825/100000
  =  
174825 ÷ 25/100000 ÷ 25
  =  
6993/4000


Good work! We have just walked through the steps on how to represent 1.74825 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net