Converting 41.2724 to a Fraction
Step-by-step explanation of how to convert 41.2724 to a fraction

Result

41.2724 =
103181
2500
Mixed number:
41
681
2500

Step 1: Identify the number of decimal places

The decimal 41.2724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

41.2724 × 10000 = 412724

Step 3: Write as a fraction

41.2724 =

412724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 412724 and 10000.

GCD(412724, 10000) = 4

Divide both the numerator and denominator by the GCD:

412724
10000

=

412724 ÷ 4
10000 ÷ 4

=

103181
2500
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