Converting 78.9264 to a Fraction
Step-by-step explanation of how to convert 78.9264 to a fraction
Result
78.9264 =
49329
625
Mixed number:
78
579
625
Step 1: Identify the number of decimal places
The decimal 78.9264 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.9264 × 10000 = 789264
Step 3: Write as a fraction
78.9264 =
789264
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 789264 and 10000.
GCD(789264, 10000) = 16
Divide both the numerator and denominator by the GCD:
789264
10000
=
789264 ÷ 16
10000 ÷ 16
=
49329
625
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