Question

How do you convert .3125 to 5/16

Answer 1

Answer: 625

Step-by-step explanation:

Here are the steps to convert .3125 into fraction form:

First we write .3125 as  

.3125

1

Now we multiply both the numerator and denominator by 10 for each digit after the decimal point:

.3125

1

 =  

.3125 x 10000

1 x 10000

 =  

3125

10000

In order to reduce the fraction we find the Greatest Common Factor (GCF) for 3125 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 3125 are: 1  5  25  125  625  3125

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

The Greatest Common Factor (GCF) for both 3125 and 10000 is: 625