What is 1.16352 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 1.16352 into a fraction.

Answer: 1.16352 as a fraction equals 116352/100000 or 3636/3125

Here is the solution for converting 1.16352 to a fraction:

Step 1:

First, we write 1.16352 as  
1.16352/1

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!
1.16352/1
  =  
1.16352 x 100000/1 x 100000
  =  
116352/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 116352 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116352 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  96  101  128  144  192  202  288  303  384  404  576  606  808  909  1152  1212  1616  1818  2424  3232  3636  4848  6464  7272  9696  12928  14544  19392  29088  38784  58176  116352 
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 116352 and 100000 that gives us a GCF value of: 32

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.
116352/100000
  =  
116352 ÷ 32/100000 ÷ 32
  =  
3636/3125


Good work! We have just walked through the steps on how to represent 1.16352 as a fraction.

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