Converting 78.4024 to a Fraction
Step-by-step explanation of how to convert 78.4024 to a fraction
Result
78.4024 =
98003
1250
Mixed number:
78
503
1250
Step 1: Identify the number of decimal places
The decimal 78.4024 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.4024 × 10000 = 784024
Step 3: Write as a fraction
78.4024 =
784024
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 784024 and 10000.
GCD(784024, 10000) = 8
Divide both the numerator and denominator by the GCD:
784024
10000
=
784024 ÷ 8
10000 ÷ 8
=
98003
1250
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