Converting 47.7264 to a Fraction
Step-by-step explanation of how to convert 47.7264 to a fraction
Result
47.7264 =
29829
625
Mixed number:
47
454
625
Step 1: Identify the number of decimal places
The decimal 47.7264 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
47.7264 × 10000 = 477264
Step 3: Write as a fraction
47.7264 =
477264
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 477264 and 10000.
GCD(477264, 10000) = 16
Divide both the numerator and denominator by the GCD:
477264
10000
=
477264 ÷ 16
10000 ÷ 16
=
29829
625
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