Add -1/4 + 3/8.
Understand the Problem
The question is asking us to add two fractions: -1/4 and 3/8. To solve this, we will need to find a common denominator and then perform the addition.
Answer
The result of adding the fractions is $\frac{5}{8}$.
Answer for screen readers
The final answer is $\frac{5}{8}$.
Steps to Solve
- Identify the denominators
The denominators of the fractions are 4 and 8.
- Find the least common denominator (LCD)
The least common denominator (LCD) for 4 and 8 is 8.
- Convert the fractions
Convert $\frac{1}{4}$ to have the denominator of 8: $$ \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} $$
- Add the fractions
Now add the converted fraction and the original fraction: $$ \frac{2}{8} + \frac{3}{8} = \frac{2 + 3}{8} = \frac{5}{8} $$
The final answer is $\frac{5}{8}$.
More Information
Adding fractions requires a common denominator. In this case, converting $\frac{1}{4}$ to $\frac{2}{8}$ allowed us to easily sum the fractions.
Tips
- Forgetting to convert both fractions to the common denominator.
- Not simplifying the result when possible.
- Miscalculating when adding the numerators.
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