Converting 47.1364 to a Fraction
Step-by-step explanation of how to convert 47.1364 to a fraction
Result
47.1364 =
117841
2500
Mixed number:
47
341
2500
Step 1: Identify the number of decimal places
The decimal 47.1364 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
47.1364 × 10000 = 471364
Step 3: Write as a fraction
47.1364 =
471364
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 471364 and 10000.
GCD(471364, 10000) = 4
Divide both the numerator and denominator by the GCD:
471364
10000
=
471364 ÷ 4
10000 ÷ 4
=
117841
2500
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