Converting 77.7144 to a Fraction
Step-by-step explanation of how to convert 77.7144 to a fraction
Result
77.7144 =
97143
1250
Mixed number:
77
893
1250
Step 1: Identify the number of decimal places
The decimal 77.7144 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
77.7144 × 10000 = 777144
Step 3: Write as a fraction
77.7144 =
777144
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 777144 and 10000.
GCD(777144, 10000) = 8
Divide both the numerator and denominator by the GCD:
777144
10000
=
777144 ÷ 8
10000 ÷ 8
=
97143
1250
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