Question

1/2 + 1/3 - 1/4 =

• A. 4/13
• B. 7/12
• C. 5/8
• D. 9/12

Answer 1

Answer:

B. 7/12

The final answer for 1/2 + 1/3 - 1/4 is 7/12 (or approximately 0.583).

1. Find the Common Denominator

The denominators are 2, 3, and 4. The Least Common Multiple (LCM) for these numbers is 12.

2. Convert the Fractions

Change each fraction so they all have 12 as the denominator:

• $\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$

• $\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$

• $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

3. Add and Subtract the Numerators

Now substitute the new fractions back into the equation and calculate from left to right:
$\frac{6}{12} + \frac{4}{12} - \frac{3}{12} = \frac{6 + 4 - 3}{12}$
$\frac{10 - 3}{12} = \frac{7}{12}$

Final Answer

The final result of the equation is $\frac{7}{12}$.