What is 1.46832 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 1.46832 into a fraction.

Answer: 1.46832 as a fraction equals 146832/100000 or 9177/6250

Here is the solution for converting 1.46832 to a fraction:

Step 1:

First, we write 1.46832 as  
1.46832/1

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!
1.46832/1
  =  
1.46832 x 100000/1 x 100000
  =  
146832/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 146832 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 146832 are: 1  2  3  4  6  7  8  12  14  16  19  21  23  24  28  38  42  46  48  56  57  69  76  84  92  112  114  133  138  152  161  168  184  228  266  276  304  322  336  368  399  437  456  483  532  552  644  798  874  912  966  1064  1104  1288  1311  1596  1748  1932  2128  2576  2622  3059  3192  3496  3864  5244  6118  6384  6992  7728  9177  10488  12236  18354  20976  24472  36708  48944  73416  146832 
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 146832 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.
146832/100000
  =  
146832 ÷ 16/100000 ÷ 16
  =  
9177/6250


Good work! We have just walked through the steps on how to represent 1.46832 as a fraction.

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