Converting 45.8064 to a Fraction
Step-by-step explanation of how to convert 45.8064 to a fraction

Result

45.8064 =
28629
625
Mixed number:
45
504
625

Step 1: Identify the number of decimal places

The decimal 45.8064 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.8064 × 10000 = 458064

Step 3: Write as a fraction

45.8064 =

458064
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 458064 and 10000.

GCD(458064, 10000) = 16

Divide both the numerator and denominator by the GCD:

458064
10000

=

458064 ÷ 16
10000 ÷ 16

=

28629
625
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