7 divided by 7/3
Understand the Problem
The question is asking for the result of dividing 7 by the fraction 7/3. To solve it, we will use the property of dividing by a fraction, which involves multiplying by the reciprocal of the fraction.
Answer
3
Answer for screen readers
The final answer is 3
Steps to Solve
- Identify the reciprocal of the fraction
Reciprocal of (\frac{7}{3}) is (\frac{3}{7}).
- Multiply 7 by the reciprocal
Instead of dividing by (\frac{7}{3}), multiply 7 by (\frac{3}{7})
$$ 7 \times \frac{3}{7} $$
- Simplify the multiplication
Multiply the numbers: $$ 7 \times \frac{3}{7} = \frac{7 \times 3}{7}$$
- Simplify the fraction
Notice that the 7 in the numerator and denominator cancel each other out: $$ \frac{7 \times 3}{7} = 3 $$
The final answer is 3
More Information
Dividing by a fraction is equivalent to multiplying by its reciprocal, which simplifies the computation.
Tips
A common mistake is to incorrectly handle the reciprocal. Always ensure you multiply by the reciprocal (flip the fraction) when dividing by another fraction.