Converting 47.71648 to a Fraction
Step-by-step explanation of how to convert 47.71648 to a fraction
Result
47.71648 =
149114
3125
Mixed number:
47
2239
3125
Step 1: Identify the number of decimal places
The decimal 47.71648 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.71648 × 100000 = 4771648
Step 3: Write as a fraction
47.71648 =
4771648
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4771648 and 100000.
GCD(4771648, 100000) = 32
Divide both the numerator and denominator by the GCD:
4771648
100000
=
4771648 ÷ 32
100000 ÷ 32
=
149114
3125
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