Convert 3.9375 to a fraction

Decimal to Fraction Calculator

Result: 3.9375 as a fraction = 63/16 or 39375/10000

How to convert 3.9375 to a fraction?

Step 1

The first step of converting any decimal to a fraction is to write it as a fraction.

Put the decimal value as the numerator (the number at the top) and 1 as the denominator (the number at the bottom). No matter what the decimal number is, we always use 1 as the denominator.

3.9375 as 3.9375/1

Step 2

We now multiply both the numerator and the denominator by the power of 10 for every digit there is after the decimal point. We can write this as:

3.9375/1 = 3.9375 x 10000/1 x 10000 = 39375/10000

Step 3

Reduce the fraction into its simplest form, which is when the numerator and denominator cannot be any smaller.

We work out the simplest form by finding the Greatest Common Factor (GCF). A factor is a number that will divide into another without remainder, and the Greatest Common Factor is the largest number that is a factor of two or more numbers.

What we need to do is find the GCF of 39375 and 10000.

The factors of 39375 are: 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 625, 875, 1125, 1575, 1875, 2625, 4375, 5625, 7875, 13125, 39375

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

If we look at the two sets of numbers we’ve listed, the Greatest Common Factor for both 39375 and 10000 is: 625

So to reduce the fraction we divide 39375 and 10000 by 625.

39375/10000 = 39375 ÷ 625/10000 ÷ 625 = 63/16

Therefore, 3.9375 as a fraction = 63/16 or 39375/10000