Steps to convert .3125 to a fraction:
Write .3125 as .3125/1
Multiply the numerator and denominator by 10 for each digit after the decimal point:
.3125/1
= .3125 x 10000/1 x 10000
= 312510000
To reduce the fraction, we find the greatest common factor (GCF) for 3125 and 10000. A factor is just a number that is divided 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 (GCD) for both 3125 and 10000 is: 625
Now, to reduce the fraction, we divide both the numerator and denominator by the value of the GCF.
3125/10000
= 3125 ÷ 625/10000 ÷ 625
= 5/16
As a side note, the integral part of the integer is: empty
The decimal part is: .3125 = 3125/10000
Complete breakdown of simple fractions: 3125/10000
= 625/2000
= 125/400
= 25/80
= 5/16
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