What is 1.67552 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 1.67552 into a fraction.

Answer: 1.67552 as a fraction equals 167552/100000 or 5236/3125

Here is the solution for converting 1.67552 to a fraction:

Step 1:

First, we write 1.67552 as  
1.67552/1

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!
1.67552/1
  =  
1.67552 x 100000/1 x 100000
  =  
167552/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 167552 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 167552 are: 1  2  4  7  8  11  14  16  17  22  28  32  34  44  56  64  68  77  88  112  119  128  136  154  176  187  224  238  272  308  352  374  448  476  544  616  704  748  896  952  1088  1232  1309  1408  1496  1904  2176  2464  2618  2992  3808  4928  5236  5984  7616  9856  10472  11968  15232  20944  23936  41888  83776  167552 
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 167552 and 100000 that gives us a GCF value of: 32

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.
167552/100000
  =  
167552 ÷ 32/100000 ÷ 32
  =  
5236/3125


Good work! We have just walked through the steps on how to represent 1.67552 as a fraction.

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