Converting 77.8256 to a Fraction
Step-by-step explanation of how to convert 77.8256 to a fraction
Result
77.8256 =
48641
625
Mixed number:
77
516
625
Step 1: Identify the number of decimal places
The decimal 77.8256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
77.8256 × 10000 = 778256
Step 3: Write as a fraction
77.8256 =
778256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 778256 and 10000.
GCD(778256, 10000) = 16
Divide both the numerator and denominator by the GCD:
778256
10000
=
778256 ÷ 16
10000 ÷ 16
=
48641
625
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