What is the result of adding the following fractions: 1/4 + 2/3?

What is the result of adding the following fractions: 1/4 + 2/3?

• A. 11/12
• B. 13/12
• C. 7/12
• D. 5/12

Answer: (A)

To add the fractions \( \frac{1}{4} \) and \( \frac{2}{3} \), we first need a common denominator. The denominators here are 4 and 3. The least common multiple (LCM) of 4 and 3 is 12. Next, we convert each fraction to have a denominator of 12: - For \( \frac{1}{4} \): \[ \frac{1}{4} \times \frac{3}{3} = \frac{3}{12} \] - For \( \frac{2}{3} \): \[ \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} \] Now we can add the two fractions: \[ \frac{3}{12} + \frac{8}{12} = \frac{3 + 8}{12} = \frac{11}{12} \] Thus, the sum of \( \frac{1}{4} \) and \( \frac{2}{3} \) is \( \frac{11}{12} \

To add the fractions ( \frac{1}{4} ) and ( \frac{2}{3} ), we first need a common denominator. The denominators here are 4 and 3. The least common multiple (LCM) of 4 and 3 is 12.

Next, we convert each fraction to have a denominator of 12:

• For ( \frac{1}{4} ):

[

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

]

• For ( \frac{2}{3} ):

[

\frac{2}{3} \times \frac{4}{4} = \frac{8}{12}

]

Now we can add the two fractions:

[

\frac{3}{12} + \frac{8}{12} = \frac{3 + 8}{12} = \frac{11}{12}

]

Thus, the sum of ( \frac{1}{4} ) and ( \frac{2}{3} ) is ( \frac{11}{12} \