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1 vote
How do you convert .3125 to 5/16

1 Answer

6 votes

Answer: 625

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

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