Converting 77.9024 to a Fraction
Step-by-step explanation of how to convert 77.9024 to a fraction
Result
77.9024 =
48689
625
Mixed number:
77
564
625
Step 1: Identify the number of decimal places
The decimal 77.9024 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
77.9024 × 10000 = 779024
Step 3: Write as a fraction
77.9024 =
779024
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 779024 and 10000.
GCD(779024, 10000) = 16
Divide both the numerator and denominator by the GCD:
779024
10000
=
779024 ÷ 16
10000 ÷ 16
=
48689
625
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