Converting 77.8432 to a Fraction
Step-by-step explanation of how to convert 77.8432 to a fraction

Result

77.8432 =
48652
625
Mixed number:
77
527
625

Step 1: Identify the number of decimal places

The decimal 77.8432 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

77.8432 × 10000 = 778432

Step 3: Write as a fraction

77.8432 =

778432
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 778432 and 10000.

GCD(778432, 10000) = 16

Divide both the numerator and denominator by the GCD:

778432
10000

=

778432 ÷ 16
10000 ÷ 16

=

48652
625
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