Converting 46.8256 to a Fraction
Step-by-step explanation of how to convert 46.8256 to a fraction

Result

46.8256 =
29266
625
Mixed number:
46
516
625

Step 1: Identify the number of decimal places

The decimal 46.8256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.8256 × 10000 = 468256

Step 3: Write as a fraction

46.8256 =

468256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 468256 and 10000.

GCD(468256, 10000) = 16

Divide both the numerator and denominator by the GCD:

468256
10000

=

468256 ÷ 16
10000 ÷ 16

=

29266
625
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