What is 5/18 + 17/18 - 7/18? Give your answer in its simplest form.
Understand the Problem
The question is asking for the result of the mathematical expression involving fractions: 5/18 + 17/18 - 7/18. The answer needs to be simplified to its simplest form.
Answer
The answer is $\frac{5}{6}$.
Answer for screen readers
The answer is $\frac{5}{6}$.
Steps to Solve
- Add the first two fractions
Since the denominators of the fractions are the same (18), we can add them directly:
$$ \frac{5}{18} + \frac{17}{18} = \frac{5 + 17}{18} = \frac{22}{18} $$
- Subtract the last fraction
Now, subtract the last fraction from the result we got in the previous step:
$$ \frac{22}{18} - \frac{7}{18} = \frac{22 - 7}{18} = \frac{15}{18} $$
- Simplify the fraction
To simplify $\frac{15}{18}$, we find the greatest common divisor (GCD) of 15 and 18, which is 3.
Now we can divide both the numerator and the denominator by 3:
$$ \frac{15 \div 3}{18 \div 3} = \frac{5}{6} $$
The answer is $\frac{5}{6}$.
More Information
The result $\frac{5}{6}$ is the simplest form of the expression. Simplifying fractions helps in understanding proportions and comparing different quantities.
Tips
- Forgetting to have a common denominator when adding fractions. Always ensure the denominators are the same before adding.
- Not simplifying the final fraction. It's important to reduce fractions to their simplest form.
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