What is 2/3 - 1/6?
Calculate 2/3 - 1/6 with a complete step-by-step solution. Learn how to subtract fractions and understand the process.
Answer:
2/3 - 1/6 = \frac{1}{2}
Step-by-Step Solution
Step 1
Identify the Fractions
To subtract fractions, they must have the same denominator (bottom number).
\frac{2}{3} - \frac{1}{6} = ?
Step 2
Find the Common Denominator
The denominators are different (3 and 6), so we need a common denominator.
The Least Common Denominator (LCD) of 3 and 6 is 6.
\text{LCD}(3, 6) = 6
Step 3
Convert First Fraction
Multiply top and bottom by 2
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
Step 4
Convert Second Fraction
Multiply top and bottom by 1
\frac{1}{6} = \frac{1 \times 1}{6 \times 1} = \frac{1}{6}
Step 5
Subtract the Fractions
Now both fractions have the same denominator.
\frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6}
Step 6
Simplify the Result
Divide both by their GCF (3)
\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}
Step 7
Final Answer
The result is 1/2
As a decimal: 0.5
\frac{2}{3} - \frac{1}{6} = \frac{1}{2}