One-fourth plus one half
Understand the Problem
The question is asking us to find the sum of one-fourth and one-half. To solve this, we need to express both fractions with a common denominator before adding them together.
Answer
The sum of one-fourth and one-half is $\frac{3}{4}$.
Answer for screen readers
The sum of one-fourth and one-half is $\frac{3}{4}$.
Steps to Solve
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Identify the fractions The fractions we are trying to add are $\frac{1}{4}$ and $\frac{1}{2}$.
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Find the least common denominator (LCD) The denominators here are 4 and 2. The least common denominator between these two is 4.
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Convert the second fraction Now, we need to express $\frac{1}{2}$ with the denominator of 4. To do this, we can multiply both the numerator and the denominator by 2: $$ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} $$
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Add the fractions Now that both fractions have the same denominator, we can add them: $$ \frac{1}{4} + \frac{2}{4} = \frac{1 + 2}{4} = \frac{3}{4} $$
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State the final answer The final answer is the sum of the two fractions we computed.
The sum of one-fourth and one-half is $\frac{3}{4}$.
More Information
Adding fractions can be straightforward if you remember to find a common denominator. The sum $\frac{3}{4}$ represents three parts out of four equal parts, which could be useful for understanding portions or ratios in real-life scenarios.
Tips
- Forgetting to change the second fraction to have a common denominator.
- Incorrectly adding the numerators without keeping the denominators the same, which leads to incorrect results.
