Converting 77.2208 to a Fraction
Step-by-step explanation of how to convert 77.2208 to a fraction

Result

77.2208 =
48263
625
Mixed number:
77
138
625

Step 1: Identify the number of decimal places

The decimal 77.2208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

77.2208 × 10000 = 772208

Step 3: Write as a fraction

77.2208 =

772208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 772208 and 10000.

GCD(772208, 10000) = 16

Divide both the numerator and denominator by the GCD:

772208
10000

=

772208 ÷ 16
10000 ÷ 16

=

48263
625
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