Converting 77.5392 to a Fraction
Step-by-step explanation of how to convert 77.5392 to a fraction
Result
77.5392 =
48462
625
Mixed number:
77
337
625
Step 1: Identify the number of decimal places
The decimal 77.5392 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
77.5392 × 10000 = 775392
Step 3: Write as a fraction
77.5392 =
775392
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 775392 and 10000.
GCD(775392, 10000) = 16
Divide both the numerator and denominator by the GCD:
775392
10000
=
775392 ÷ 16
10000 ÷ 16
=
48462
625
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