What is 1.3416 as a fraction?

Answer: 1.3416 as a fraction equals 13416/10000 or 1677/1250

Here is the solution for converting 1.3416 to a fraction:

Step 1:

First, we write 1.3416 as  

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!

1.3416/1

  =  

1.3416 x 10000/1 x 10000

  =  

13416/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13416 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 13416 are: 1  2  3  4  6  8  12  13  24  26  39  43  52  78  86  104  129  156  172  258  312  344  516  559  1032  1118  1677  2236  3354  4472  6708  13416 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 13416 and 10000 that gives us a GCF value of: 8

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.

13416/10000

  =  

13416 ÷ 8/10000 ÷ 8

  =  

1677/1250

Good work! We have just walked through the steps on how to represent 1.3416 as a fraction.