2/3 divided by 4/7
Understand the Problem
The question is asking us to perform a division of two fractional numbers: 2/3 divided by 4/7. To solve this, we can multiply the first fraction by the reciprocal of the second fraction.
Answer
\( \frac{7}{6} \)
Answer for screen readers
The final answer is ( \frac{7}{6} )
Steps to Solve
- Rewrite the division as multiplication by the reciprocal
To divide fractions, multiply the first fraction by the reciprocal (inverse) of the second fraction.
$$\frac{2}{3} \div \frac{4}{7} = \frac{2}{3} \times \frac{7}{4}$$
- Multiply the numerators
Multiply the numerators (top numbers) of the fractions together.
$$2 \times 7 = 14$$
- Multiply the denominators
Multiply the denominators (bottom numbers) of the fractions together.
$$3 \times 4 = 12$$
- Simplify the resulting fraction
Simplify the resulting fraction if possible. In this case, the fraction can be simplified.
$$\frac{14}{12} = \frac{7}{6}$$
The fraction is already in its simplest form.
The final answer is ( \frac{7}{6} )
More Information
Dividing fractions involves multiplying by the reciprocal. This operation is fundamental in arithmetic involving fractions.
Tips
A common mistake is forgetting to take the reciprocal of the second fraction and instead multiplying directly.
AI-generated content may contain errors. Please verify critical information
