Converting 55.78152 to a Fraction
Step-by-step explanation of how to convert 55.78152 to a fraction
Result
55.78152 =
697269
12500
Mixed number:
55
9769
12500
Step 1: Identify the number of decimal places
The decimal 55.78152 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
55.78152 × 100000 = 5578152
Step 3: Write as a fraction
55.78152 =
5578152
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5578152 and 100000.
GCD(5578152, 100000) = 8
Divide both the numerator and denominator by the GCD:
5578152
100000
=
5578152 ÷ 8
100000 ÷ 8
=
697269
12500
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