Convert 1.46666 to a fraction

Decimal to Fraction Calculator

Result: 1.46666 as a fraction = 14649/9988 or 146666/100000

How to convert 1.46666 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.

1.46666 as 1.46666/1

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:

1.46666/1 = 1.46666 x 100000/1 x 100000 = 146666/100000

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 146666 and 100000.

The factors of 146666 are: 1, 2, 13, 26, 5641, 11282, 73333, 146666

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

If we look at the two sets of numbers we’ve listed, the Greatest Common Factor for both 146666 and 100000 is: 2

So to reduce the fraction we divide 146666 and 100000 by 2.

146666/100000 = 146666 ÷ 2/100000 ÷ 2 = 73333/50000

Therefore, 1.46666 as a fraction = 14649/9988 or 146666/100000