Converting 46.8128 to a Fraction
Step-by-step explanation of how to convert 46.8128 to a fraction

Result

46.8128 =
29258
625
Mixed number:
46
508
625

Step 1: Identify the number of decimal places

The decimal 46.8128 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.8128 × 10000 = 468128

Step 3: Write as a fraction

46.8128 =

468128
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 468128 and 10000.

GCD(468128, 10000) = 16

Divide both the numerator and denominator by the GCD:

468128
10000

=

468128 ÷ 16
10000 ÷ 16

=

29258
625
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