Converting 46.5664 to a Fraction
Step-by-step explanation of how to convert 46.5664 to a fraction

Result

46.5664 =
29104
625
Mixed number:
46
354
625

Step 1: Identify the number of decimal places

The decimal 46.5664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.5664 × 10000 = 465664

Step 3: Write as a fraction

46.5664 =

465664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 465664 and 10000.

GCD(465664, 10000) = 16

Divide both the numerator and denominator by the GCD:

465664
10000

=

465664 ÷ 16
10000 ÷ 16

=

29104
625
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