Converting 41.7864 to a Fraction
Step-by-step explanation of how to convert 41.7864 to a fraction

Result

41.7864 =
52233
1250
Mixed number:
41
983
1250

Step 1: Identify the number of decimal places

The decimal 41.7864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

41.7864 × 10000 = 417864

Step 3: Write as a fraction

41.7864 =

417864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 417864 and 10000.

GCD(417864, 10000) = 8

Divide both the numerator and denominator by the GCD:

417864
10000

=

417864 ÷ 8
10000 ÷ 8

=

52233
1250
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