I want to add two fourths and three sixths.
Understand the Problem
The question is asking how to add two fractions, specifically two fourths and three sixths. To solve this, we will find a common denominator and then add the fractions together.
Answer
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Answer for screen readers
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Steps to Solve
- Identify the original fractions
The fractions we are adding are $\frac{2}{4}$ and $\frac{3}{6}$.
- Find the least common denominator (LCD)
The denominators are 4 and 6. The least common multiple of 4 and 6 is 12.
- Convert each fraction to have the common denominator
We need to convert $\frac{2}{4}$ and $\frac{3}{6}$ to fractions with a denominator of 12.
For $\frac{2}{4}$: $$ \frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12} $$
For $\frac{3}{6}$: $$ \frac{3}{6} = \frac{3 \times 2}{6 \times 2} = \frac{6}{12} $$
- Add the fractions
Now that both fractions have a common denominator, we can add them: $$ \frac{6}{12} + \frac{6}{12} = \frac{6 + 6}{12} = \frac{12}{12} $$
- Simplify the result
The fraction $\frac{12}{12}$ simplifies to 1.
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More Information
The sum of $\frac{2}{4}$ and $\frac{3}{6}$ is 1. This problem illustrates how to find a common denominator and simplify fractions. Adding fractions is a common arithmetic operation with many applications in real life, such as cooking and budgeting.
Tips
- Forgetting to find the common denominator before adding.
- Not simplifying the final answer if possible.
- Incorrectly converting fractions to the common denominator.
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