Converting 10.1584 to a Fraction
Step-by-step explanation of how to convert 10.1584 to a fraction
Result
10.1584 =
6349
625
Mixed number:
10
99
625
Step 1: Identify the number of decimal places
The decimal 10.1584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.1584 × 10000 = 101584
Step 3: Write as a fraction
10.1584 =
101584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 101584 and 10000.
GCD(101584, 10000) = 16
Divide both the numerator and denominator by the GCD:
101584
10000
=
101584 ÷ 16
10000 ÷ 16
=
6349
625
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