7/3 ÷ 6/5
Understand the Problem
The question involves dividing two fractions (7/3) by (6/5). To solve this, we will perform the division by multiplying the first fraction by the reciprocal of the second fraction.
Answer
The final result is $\frac{35}{18}$.
Answer for screen readers
The answer is $\frac{35}{18}$.
Steps to Solve
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Write the division as multiplication To divide the fractions, we rewrite the division as multiplication by the reciprocal of the second fraction: $$ \frac{7}{3} \div \frac{6}{5} = \frac{7}{3} \times \frac{5}{6} $$
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Multiply the numerators Now, multiply the numerators together: $$ 7 \times 5 = 35 $$
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Multiply the denominators Next, multiply the denominators together: $$ 3 \times 6 = 18 $$
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Combine the results Now, we combine the results from the multiplication of the numerators and the denominators: $$ \frac{35}{18} $$
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Simplify if possible In this case, $\frac{35}{18}$ is already in its simplest form since 35 and 18 have no common factors other than 1.
The answer is $\frac{35}{18}$.
More Information
The division of fractions is a common mathematical operation that involves understanding reciprocals. When dividing fractions, it's essential to remember that multiplication by the reciprocal simplifies the process.
Tips
- Forgetting to take the reciprocal: Always remember to flip the second fraction when dividing.
- Simplifying too early: It's better to compute the multiplication before attempting to simplify the result.
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