To solve the sum of two-thirds and one-fourth, you can follow these steps:
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Identify the two fractions: \(\frac{2}{3}\) and \(\frac{1}{4}\).
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Find a common denominator. The least common multiple of 3 and 4 is 12.
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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 \(\frac{1}{4}\): \[ \frac{1}{4} \times \frac{3}{3} = \frac{3}{12} \]
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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: \(\frac{11}{12}\)