Convert 3 5/3 as a fraction.
Understand the Problem
The question is asking how to express the mixed number '3 5/3' as a single improper fraction. The approach involves converting the whole number and the fraction part into an improper fraction.
Answer
$\frac{14}{3}$
Answer for screen readers
The improper fraction equivalent of the mixed number $3 \frac{5}{3}$ is $\frac{14}{3}$.
Steps to Solve
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Identify the whole number and the fraction Separate the whole number from the fraction in the mixed number $3 \frac{5}{3}$. Here, the whole number is 3 and the fraction is $\frac{5}{3}$.
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Convert the whole number to a fraction Convert the whole number into a fraction by using its denominator. For the whole number 3, we can represent it as $\frac{3 \cdot 3}{3} = \frac{9}{3}$.
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Add the fractions together Now, add the fraction part $\frac{9}{3}$ (from the whole number) to $\frac{5}{3}$ (the fraction part).
This gives: $$ \frac{9}{3} + \frac{5}{3} = \frac{9 + 5}{3} = \frac{14}{3} $$
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Write the final result The mixed number $3 \frac{5}{3}$ as an improper fraction is therefore $\frac{14}{3}$.
The improper fraction equivalent of the mixed number $3 \frac{5}{3}$ is $\frac{14}{3}$.
More Information
This conversion is useful for simplifying the addition or subtraction of mixed numbers, as improper fractions are often more straightforward to work with in calculations.
Tips
- Forgetting to convert the whole number into a fraction. Always use the same denominator.
- Adding the fractions incorrectly. Ensure you only add the numerators while keeping the common denominator.
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