What is 1.67475 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 1.67475 into a fraction.

Answer: 1.67475 as a fraction equals 167475/100000 or 6699/4000

Here is the solution for converting 1.67475 to a fraction:

Step 1:

First, we write 1.67475 as  
1.67475/1

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!
1.67475/1
  =  
1.67475 x 100000/1 x 100000
  =  
167475/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 167475 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 167475 are: 1  3  5  7  11  15  21  25  29  33  35  55  75  77  87  105  145  165  175  203  231  275  319  385  435  525  609  725  825  957  1015  1155  1595  1925  2175  2233  3045  4785  5075  5775  6699  7975  11165  15225  23925  33495  55825  167475 
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 167475 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.
167475/100000
  =  
167475 ÷ 25/100000 ÷ 25
  =  
6699/4000


Good work! We have just walked through the steps on how to represent 1.67475 as a fraction.

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