Question

What is the quotient of −7÷(−3) ?(1 point)
Responses

213
2 Start Fraction 1 over 3 End Fraction

−37
negative Start Fraction 3 over 7 End Fraction

−213
negative 2 Start Fraction 1 over 3 End Fraction

37

Answer 1

To find the quotient of \(-7 \div (-3)\), we follow these steps:

1. Divide the absolute values: \(7 \div 3\), which equals \(2\) with a remainder.
2. The remainder, \(1\), can be expressed as a fraction: \(\frac{1}{3}\).
3. Therefore, \(7 \div 3 = 2 \frac{1}{3}\) which can also be expressed as \(\frac{7}{3}\).
4. Since both numbers being divided are negative, the quotient is positive: \(-7 \div (-3) = \frac{7}{3}\).

Thus, the resulting quotient is \(2 \frac{1}{3}\) or \(\frac{7}{3}\).

So, the answer is \(2 \frac{1}{3}\).