Converting 16.2256 to a Fraction
Step-by-step explanation of how to convert 16.2256 to a fraction
Result
16.2256 =
10141
625
Mixed number:
16
141
625
Step 1: Identify the number of decimal places
The decimal 16.2256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
16.2256 × 10000 = 162256
Step 3: Write as a fraction
16.2256 =
162256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 162256 and 10000.
GCD(162256, 10000) = 16
Divide both the numerator and denominator by the GCD:
162256
10000
=
162256 ÷ 16
10000 ÷ 16
=
10141
625
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