What is 1.70568 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 1.70568 into a fraction.

Answer: 1.70568 as a fraction equals 170568/100000 or 21321/12500

Here is the solution for converting 1.70568 to a fraction:

Step 1:

First, we write 1.70568 as  
1.70568/1

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!
1.70568/1
  =  
1.70568 x 100000/1 x 100000
  =  
170568/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 170568 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 170568 are: 1  2  3  4  6  8  9  12  18  23  24  36  46  69  72  92  103  138  184  206  207  276  309  412  414  552  618  824  828  927  1236  1656  1854  2369  2472  3708  4738  7107  7416  9476  14214  18952  21321  28428  42642  56856  85284  170568 
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 170568 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.
170568/100000
  =  
170568 ÷ 8/100000 ÷ 8
  =  
21321/12500


Good work! We have just walked through the steps on how to represent 1.70568 as a fraction.

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