Converting 15.625 to a Fraction
Step-by-step explanation of how to convert 15.625 to a fraction
Result
15.625 =
125
8
Mixed number:
15
5
8
Step 1: Identify the number of decimal places
The decimal 15.625 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.625 × 1000 = 15625
Step 3: Write as a fraction
15.625 =
15625
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15625 and 1000.
GCD(15625, 1000) = 125
Divide both the numerator and denominator by the GCD:
15625
1000
=
15625 ÷ 125
1000 ÷ 125
=
125
8
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