Converting 77.82944 to a Fraction
Step-by-step explanation of how to convert 77.82944 to a fraction
Result
77.82944 =
243217
3125
Mixed number:
77
2592
3125
Step 1: Identify the number of decimal places
The decimal 77.82944 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
77.82944 × 100000 = 7782944
Step 3: Write as a fraction
77.82944 =
7782944
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7782944 and 100000.
GCD(7782944, 100000) = 32
Divide both the numerator and denominator by the GCD:
7782944
100000
=
7782944 ÷ 32
100000 ÷ 32
=
243217
3125
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