51/7 ÷ (-7)
Understand the Problem
The question is asking to perform a mathematical operation involving division and a negative number. Specifically, we need to divide the fraction 51/7 by (-7).
Answer
The answer is $\frac{-51}{49}$.
Answer for screen readers
The final answer is $\frac{-51}{49}$.
Steps to Solve
- Understanding Division of a Fraction by a Negative Number
To divide a fraction by a negative number, you can rewrite the division as multiplication by the reciprocal. The reciprocal of $-7$ is $-\frac{1}{7}$.
$$ \frac{51}{7} \div (-7) = \frac{51}{7} \times -\frac{1}{7} $$
- Multiplying the Fractions
Now, multiply the fractions together by multiplying the numerators and the denominators.
$$ \frac{51 \times (-1)}{7 \times 7} = \frac{-51}{49} $$
- Final Result
The final result of the division is:
$$ \frac{-51}{49} $$
The final answer is $\frac{-51}{49}$.
More Information
Dividing by a negative number gives a negative result. In this case, we end up with a negative fraction when dividing a positive fraction by a negative number.
Tips
- Mistaking the sign of the result: Remember that dividing a positive number by a negative number results in a negative quotient.
- Failing to multiply correctly: Ensure that when multiplying fractions, both the numerators and denominators are handled properly.
