Converting 89.0256 to a Fraction
Step-by-step explanation of how to convert 89.0256 to a fraction
Result
89.0256 =
55641
625
Mixed number:
89
16
625
Step 1: Identify the number of decimal places
The decimal 89.0256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
89.0256 × 10000 = 890256
Step 3: Write as a fraction
89.0256 =
890256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 890256 and 10000.
GCD(890256, 10000) = 16
Divide both the numerator and denominator by the GCD:
890256
10000
=
890256 ÷ 16
10000 ÷ 16
=
55641
625
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