Converting 77.9168 to a Fraction
Step-by-step explanation of how to convert 77.9168 to a fraction

Result

77.9168 =
48698
625
Mixed number:
77
573
625

Step 1: Identify the number of decimal places

The decimal 77.9168 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

77.9168 × 10000 = 779168

Step 3: Write as a fraction

77.9168 =

779168
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 779168 and 10000.

GCD(779168, 10000) = 16

Divide both the numerator and denominator by the GCD:

779168
10000

=

779168 ÷ 16
10000 ÷ 16

=

48698
625
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