Converting 77.2272 to a Fraction
Step-by-step explanation of how to convert 77.2272 to a fraction
Result
77.2272 =
48267
625
Mixed number:
77
142
625
Step 1: Identify the number of decimal places
The decimal 77.2272 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
77.2272 × 10000 = 772272
Step 3: Write as a fraction
77.2272 =
772272
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 772272 and 10000.
GCD(772272, 10000) = 16
Divide both the numerator and denominator by the GCD:
772272
10000
=
772272 ÷ 16
10000 ÷ 16
=
48267
625
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