🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

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

  1. 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 $\frac{5}{3}$.

  2. 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 $\frac{3 \cdot 3}{3} = \frac{9}{3}$.

  3. 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: $$ \frac{9}{3} + \frac{5}{3} = \frac{9 + 5}{3} = \frac{14}{3} $$

  4. 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.
Thank you for voting!
Use Quizgecko on...
Browser
Browser