What is 1.70128 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 1.70128 into a fraction.

Answer: 1.70128 as a fraction equals 170128/100000 or 10633/6250

Here is the solution for converting 1.70128 to a fraction:

Step 1:

First, we write 1.70128 as  
1.70128/1

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!
1.70128/1
  =  
1.70128 x 100000/1 x 100000
  =  
170128/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 170128 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 170128 are: 1  2  4  7  8  14  16  28  31  49  56  62  98  112  124  196  217  248  343  392  434  496  686  784  868  1372  1519  1736  2744  3038  3472  5488  6076  10633  12152  21266  24304  42532  85064  170128 
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 170128 and 100000 that gives us a GCF value of: 16

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.
170128/100000
  =  
170128 ÷ 16/100000 ÷ 16
  =  
10633/6250


Good work! We have just walked through the steps on how to represent 1.70128 as a fraction.

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