Question

What is the quotient when you divide −10/11 by −2/5 ?(1 point)
Responses

2 3/11
2 Start Fraction 3 over 11 End Fraction

2 3/4
2 Start Fraction 3 over 4 End Fraction

−2 3/11
negative 2 Start Fraction 3 over 11 End Fraction

4/11
Start Fraction 4 over 11 End Fraction

Answer 1

To find the quotient when you divide -10/11 by -2/5, you need to multiply the dividend by the reciprocal of the divisor.

The reciprocal of -2/5 is -5/2.

So, you would multiply -10/11 by -5/2:

(-10/11) * (-5/2) = 50/22

Simplifying the fraction, 50/22 can be reduced to 25/11.

Therefore, the quotient is 25/11, which is equivalent to 2 3/11.

So, the correct answer is 2 3/11.