Add 4/5 + 9/6.
Understand the Problem
The question is asking to perform the addition of two fractions, specifically 4/5 and 9/6. This involves finding a common denominator and then summing the numerators.
Answer
The sum is $\frac{23}{10}$.
Answer for screen readers
The sum of $\frac{4}{5}$ and $\frac{9}{6}$ is $\frac{23}{10}$.
Steps to Solve
- Find a common denominator
The denominators are 5 and 6. The least common multiple (LCM) of 5 and 6 is 30.
- Convert each fraction to have the common denominator
For the first fraction, multiply both the numerator and denominator by 6: $$ \frac{4}{5} \times \frac{6}{6} = \frac{24}{30} $$
For the second fraction, multiply both the numerator and denominator by 5: $$ \frac{9}{6} \times \frac{5}{5} = \frac{45}{30} $$
- Add the fractions
Now that both fractions have a common denominator, we can add them: $$ \frac{24}{30} + \frac{45}{30} = \frac{24 + 45}{30} = \frac{69}{30} $$
- Simplify the result
The fraction $\frac{69}{30}$ can be simplified. Both 69 and 30 can be divided by 3: $$ \frac{69 \div 3}{30 \div 3} = \frac{23}{10} $$
The sum of $\frac{4}{5}$ and $\frac{9}{6}$ is $\frac{23}{10}$.
More Information
The sum $\frac{4}{5} + \frac{9}{6}$ results in an improper fraction $\frac{23}{10}$, which can also be expressed as a mixed number: $2 \frac{3}{10}$.
Tips
- Forgetting to convert both fractions to the same denominator before adding.
- Not simplifying the final answer when possible.
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