Converting 45.5664 to a Fraction
Step-by-step explanation of how to convert 45.5664 to a fraction

Result

45.5664 =
28479
625
Mixed number:
45
354
625

Step 1: Identify the number of decimal places

The decimal 45.5664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.5664 × 10000 = 455664

Step 3: Write as a fraction

45.5664 =

455664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 455664 and 10000.

GCD(455664, 10000) = 16

Divide both the numerator and denominator by the GCD:

455664
10000

=

455664 ÷ 16
10000 ÷ 16

=

28479
625
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