Converting 47.3724 to a Fraction
Step-by-step explanation of how to convert 47.3724 to a fraction

Result

47.3724 =
118431
2500
Mixed number:
47
931
2500

Step 1: Identify the number of decimal places

The decimal 47.3724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.3724 × 10000 = 473724

Step 3: Write as a fraction

47.3724 =

473724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 473724 and 10000.

GCD(473724, 10000) = 4

Divide both the numerator and denominator by the GCD:

473724
10000

=

473724 ÷ 4
10000 ÷ 4

=

118431
2500
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