Converting 46.8728 to a Fraction
Step-by-step explanation of how to convert 46.8728 to a fraction

Result

46.8728 =
58591
1250
Mixed number:
46
1091
1250

Step 1: Identify the number of decimal places

The decimal 46.8728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.8728 × 10000 = 468728

Step 3: Write as a fraction

46.8728 =

468728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 468728 and 10000.

GCD(468728, 10000) = 8

Divide both the numerator and denominator by the GCD:

468728
10000

=

468728 ÷ 8
10000 ÷ 8

=

58591
1250
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