5 1/3 divided by 4/3
Understand the Problem
The question is asking us to perform a division operation with a mixed number (5 1/3) and a fraction (4/3). To solve this, we will convert the mixed number into an improper fraction and then divide by the fraction.
Answer
4
Answer for screen readers
The final answer is 4
Steps to Solve
- Convert the mixed number to an improper fraction
Converting the mixed number $5 \frac{1}{3}$ to an improper fraction:
$$5 \frac{1}{3} = \frac{5 \cdot 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3}$$
- Rewrite the division as a multiplication
Dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we need to find the reciprocal of $\frac{4}{3}$ which is $\frac{3}{4}$.
The operation becomes:
$$\frac{16}{3} \div \frac{4}{3} = \frac{16}{3} \times \frac{3}{4}$$
- Multiply the fractions
To multiply the fractions, we multiply the numerators together and the denominators together:
$$\frac{16 \cdot 3}{3 \cdot 4} = \frac{48}{12}$$
- Simplify the fraction
Simplify $\frac{48}{12}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 12:
$$\frac{48 \div 12}{12 \div 12} = \frac{4}{1} = 4$$
The final answer is 4
More Information
When dividing by a fraction, you can turn the division into a multiplication by using the reciprocal of the divisor.
Tips
A common mistake is forgetting to convert the division operation to multiplication using the reciprocal of the second fraction.
AI-generated content may contain errors. Please verify critical information
