What is 2/3 + 1/4?
Calculate 2/3 + 1/4 with a complete step-by-step solution. Learn how to add fractions and understand the process.
Answer:
2/3 + 1/4 = \frac{11}{12}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to add two fractions: 2/3 and 1/4
To add fractions, they must have the same denominator (bottom number).
\frac{2}{3} + \frac{1}{4} = ?
Step 2
Find the Least Common Denominator (LCD)
The denominators are different (3 and 4), so we need to find a common denominator.
The LCD is the smallest number that both 3 and 4 divide into evenly.
LCD = 3 × 4 = 12
\text{LCD}(3, 4) = 12
Step 3
Convert First Fraction
Multiply 2/3 to get denominator of 12:
Multiply both top and bottom by 4
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
Step 4
Convert Second Fraction
Multiply 1/4 to get denominator of 12:
Multiply both top and bottom by 3
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
Step 5
Add the Fractions
Now both fractions have the same denominator (12).
Add the numerators: 8 + 3 = 11
\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}