What is 1.78176 as a fraction?

Answer: 1.78176 as a fraction equals 178176/100000 or 5568/3125

Here is the solution for converting 1.78176 to a fraction:

Step 1:

First, we write 1.78176 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!

1.78176/1

  =  

1.78176 x 100000/1 x 100000

  =  

178176/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 178176 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 178176 are: 1  2  3  4  6  8  12  16  24  29  32  48  58  64  87  96  116  128  174  192  232  256  348  384  464  512  696  768  928  1024  1392  1536  1856  2048  2784  3072  3712  5568  6144  7424  11136  14848  22272  29696  44544  59392  89088  178176 
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 178176 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.

178176/100000

  =  

178176 ÷ 32/100000 ÷ 32

  =  

5568/3125

Good work! We have just walked through the steps on how to represent 1.78176 as a fraction.