Converting 47.70824 to a Fraction
Step-by-step explanation of how to convert 47.70824 to a fraction
Result
47.70824 =
596353
12500
Mixed number:
47
8853
12500
Step 1: Identify the number of decimal places
The decimal 47.70824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.70824 × 100000 = 4770824
Step 3: Write as a fraction
47.70824 =
4770824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4770824 and 100000.
GCD(4770824, 100000) = 8
Divide both the numerator and denominator by the GCD:
4770824
100000
=
4770824 ÷ 8
100000 ÷ 8
=
596353
12500
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