What is 0.70686 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 0.70686 into a fraction.

Answer: 0.70686 as a fraction equals 70686/100000 or 35343/50000

Here is the solution for converting 0.70686 to a fraction:

Step 1:

First, we write 0.70686 as  
0.70686/1

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!
0.70686/1
  =  
0.70686 x 100000/1 x 100000
  =  
70686/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 70686 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 70686 are: 1  2  3  6  7  9  11  14  17  18  21  22  27  33  34  42  51  54  63  66  77  99  102  119  126  153  154  187  189  198  231  238  297  306  357  374  378  459  462  561  594  693  714  918  1071  1122  1309  1386  1683  2079  2142  2618  3213  3366  3927  4158  5049  6426  7854  10098  11781  23562  35343  70686 
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 70686 and 100000 that gives us a GCF value of: 2

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.
70686/100000
  =  
70686 ÷ 2/100000 ÷ 2
  =  
35343/50000


Good work! We have just walked through the steps on how to represent 0.70686 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