What is 1.41372 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 1.41372 into a fraction.

Answer: 1.41372 as a fraction equals 141372/100000 or 35343/25000

Here is the solution for converting 1.41372 to a fraction:

Step 1:

First, we write 1.41372 as  
1.41372/1

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!
1.41372/1
  =  
1.41372 x 100000/1 x 100000
  =  
141372/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 141372 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 141372 are: 1  2  3  4  6  7  9  11  12  14  17  18  21  22  27  28  33  34  36  42  44  51  54  63  66  68  77  84  99  102  108  119  126  132  153  154  187  189  198  204  231  238  252  297  306  308  357  374  378  396  459  462  476  561  594  612  693  714  748  756  918  924  1071  1122  1188  1309  1386  1428  1683  1836  2079  2142  2244  2618  2772  3213  3366  3927  4158  4284  5049  5236  6426  6732  7854  8316  10098  11781  12852  15708  20196  23562  35343  47124  70686  141372 
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 141372 and 100000 that gives us a GCF value of: 4

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.
141372/100000
  =  
141372 ÷ 4/100000 ÷ 4
  =  
35343/25000


Good work! We have just walked through the steps on how to represent 1.41372 as a fraction.

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