What is 2/3 - 1/4?
Calculate 2/3 - 1/4 with a complete step-by-step solution. Learn how to subtract fractions and understand the process.
Answer:
2/3 - 1/4 = \frac{5}{12}
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}{4} = ?
Step 2
Find the Common Denominator
The denominators are different (3 and 4), so we need a common denominator.
The Least Common Denominator (LCD) of 3 and 4 is 12.
\text{LCD}(3, 4) = 12
Step 3
Convert First Fraction
Multiply top and bottom by 4
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
Step 4
Convert Second Fraction
Multiply top and bottom by 3
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
Step 5
Subtract the Fractions
Now both fractions have the same denominator.
\frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}
Step 6
Final Answer
The result is 5/12
As a decimal: 0.416667
\frac{2}{3} - \frac{1}{4} = \frac{5}{12}