Converting 78.0224 to a Fraction
Step-by-step explanation of how to convert 78.0224 to a fraction
Result
78.0224 =
48764
625
Mixed number:
78
14
625
Step 1: Identify the number of decimal places
The decimal 78.0224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.0224 × 10000 = 780224
Step 3: Write as a fraction
78.0224 =
780224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 780224 and 10000.
GCD(780224, 10000) = 16
Divide both the numerator and denominator by the GCD:
780224
10000
=
780224 ÷ 16
10000 ÷ 16
=
48764
625
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