Converting 77.9072 to a Fraction
Step-by-step explanation of how to convert 77.9072 to a fraction

Result

77.9072 =
48692
625
Mixed number:
77
567
625

Step 1: Identify the number of decimal places

The decimal 77.9072 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

77.9072 × 10000 = 779072

Step 3: Write as a fraction

77.9072 =

779072
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 779072 and 10000.

GCD(779072, 10000) = 16

Divide both the numerator and denominator by the GCD:

779072
10000

=

779072 ÷ 16
10000 ÷ 16

=

48692
625
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