3 + 1/3
Understand the Problem
The question is asking to solve a mathematical expression that involves addition with a fraction. Specifically, it requires adding 3 to 1/3.
Answer
The answer is $\frac{10}{3}$.
Answer for screen readers
The final answer is $\frac{10}{3}$.
Steps to Solve
- Convert the whole number to a fraction
To add a whole number to a fraction, it helps to express the whole number as a fraction. We can write 3 as a fraction with a denominator of 1.
$$ 3 = \frac{3}{1} $$
- Find a common denominator
The next step is to find a common denominator between the two fractions. In this case, the denominators are 1 and 3. The least common denominator (LCD) is 3.
- Convert the fractions to the common denominator
Now we need to convert the fractions so they have the same denominator. We can convert $\frac{3}{1}$ to have a denominator of 3 by multiplying both the numerator and denominator by 3.
$$ \frac{3}{1} = \frac{3 \times 3}{1 \times 3} = \frac{9}{3} $$
- Add the fractions
Now, we can add the two fractions since they have the same denominator:
$$ \frac{9}{3} + \frac{1}{3} = \frac{9 + 1}{3} = \frac{10}{3} $$
The final answer is $\frac{10}{3}$.
More Information
The result $\frac{10}{3}$ can also be expressed as a mixed number. It is equivalent to $3 \frac{1}{3}$, which represents 3 whole units and an additional third.
Tips
- Forgetting to convert the whole number to a fraction before addition.
- Not finding a common denominator before attempting to add the fractions.
- Mixing up the numerators when adding the fractions.
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