Converting 47.7288 to a Fraction
Step-by-step explanation of how to convert 47.7288 to a fraction

Result

47.7288 =
59661
1250
Mixed number:
47
911
1250

Step 1: Identify the number of decimal places

The decimal 47.7288 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.7288 × 10000 = 477288

Step 3: Write as a fraction

47.7288 =

477288
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 477288 and 10000.

GCD(477288, 10000) = 8

Divide both the numerator and denominator by the GCD:

477288
10000

=

477288 ÷ 8
10000 ÷ 8

=

59661
1250
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