Question

Solve.

two-thirds plus one-fourth equals

(1 point)
Responses

1
1

The term shows 11 over 24.
Image with alt text: The term shows 11 over 24.


Image with alt text:

start fraction 11 over 12 end fraction

Answer 1

To solve the sum of two-thirds and one-fourth, you can follow these steps:

1. Identify the two fractions:
\(\frac{2}{3}\) and \(\frac{1}{4}\).

2. Find a common denominator. The least common multiple of 3 and 4 is 12.

3. Convert each fraction to have the common denominator of 12:
- For \(\frac{2}{3}\):
\[
\frac{2}{3} \times \frac{4}{4} = \frac{8}{12}
\]
- For \(\frac{1}{4}\):
\[
\frac{1}{4} \times \frac{3}{3} = \frac{3}{12}
\]

4. Add the two fractions:
\[
\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}
\]

So, two-thirds plus one-fourth equals \(\frac{11}{12}\).

The correct response is:
\(\frac{11}{12}\)