Converting 10.77978 to a Fraction
Step-by-step explanation of how to convert 10.77978 to a fraction
Result
10.77978 =
538989
50000
Mixed number:
10
38989
50000
Step 1: Identify the number of decimal places
The decimal 10.77978 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.77978 × 100000 = 1077978
Step 3: Write as a fraction
10.77978 =
1077978
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1077978 and 100000.
GCD(1077978, 100000) = 2
Divide both the numerator and denominator by the GCD:
1077978
100000
=
1077978 ÷ 2
100000 ÷ 2
=
538989
50000
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