Converting 78.4224 to a Fraction
Step-by-step explanation of how to convert 78.4224 to a fraction
Result
78.4224 =
49014
625
Mixed number:
78
264
625
Step 1: Identify the number of decimal places
The decimal 78.4224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.4224 × 10000 = 784224
Step 3: Write as a fraction
78.4224 =
784224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 784224 and 10000.
GCD(784224, 10000) = 16
Divide both the numerator and denominator by the GCD:
784224
10000
=
784224 ÷ 16
10000 ÷ 16
=
49014
625
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