Converting 45.8256 to a Fraction
Step-by-step explanation of how to convert 45.8256 to a fraction
Result
45.8256 =
28641
625
Mixed number:
45
516
625
Step 1: Identify the number of decimal places
The decimal 45.8256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
45.8256 × 10000 = 458256
Step 3: Write as a fraction
45.8256 =
458256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 458256 and 10000.
GCD(458256, 10000) = 16
Divide both the numerator and denominator by the GCD:
458256
10000
=
458256 ÷ 16
10000 ÷ 16
=
28641
625
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