Converting 77.82016 to a Fraction
Step-by-step explanation of how to convert 77.82016 to a fraction

Result

77.82016 =
243188
3125
Mixed number:
77
2563
3125

Step 1: Identify the number of decimal places

The decimal 77.82016 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

77.82016 × 100000 = 7782016

Step 3: Write as a fraction

77.82016 =

7782016
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7782016 and 100000.

GCD(7782016, 100000) = 32

Divide both the numerator and denominator by the GCD:

7782016
100000

=

7782016 ÷ 32
100000 ÷ 32

=

243188
3125
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