three fourths plus three fourths
Understand the Problem
The question is asking to perform the addition of two fractions, specifically three fourths plus three fourths. This involves finding a common denominator and adding the numerators.
Answer
The sum of $\frac{3}{4}$ and $\frac{3}{4}$ is $\frac{3}{2}$.
Answer for screen readers
The final answer is $\frac{3}{2}$.
Steps to Solve
- Identify the fractions to add
The given fractions are $\frac{3}{4}$ and $\frac{3}{4}$.
- Ensure a common denominator
Both fractions have the same denominator, which is 4. Therefore, no change is needed to the denominators.
- Add the numerators
Now we add the numerators of the fractions: $$ 3 + 3 = 6 $$
- Write the result as a single fraction
Combine the result from the previous step with the common denominator: $$ \frac{6}{4} $$
- Simplify the fraction if possible
We can simplify $\frac{6}{4}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2: $$ \frac{6 \div 2}{4 \div 2} = \frac{3}{2} $$
The final answer is $\frac{3}{2}$.
More Information
Adding two fractions with the same denominator is straightforward. In this case, you simply add the numerators and keep the denominator the same. After adding, it's essential to simplify the resulting fraction if applicable.
Tips
- Not finding a common denominator: This can lead to incorrect results. Always ensure the denominators are the same when adding fractions.
- Forgetting to simplify: After finding the sum, remember to check if you can simplify your fraction.
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