Math

QuestionCalculate the quotient of 911÷(5)= \frac{-9}{11} \div(-5) = \square (Simplify to an integer or fraction.)

Studdy Solution

STEP 1

Assumptions1. We are dividing the fraction 911\frac{-9}{11} by the integer -5. . We are looking for a simplified answer in the form of an integer or a fraction.

STEP 2

To divide a fraction by an integer, we can multiply the fraction by the reciprocal of the integer. The reciprocal of an integer aa is 1a\frac{1}{a}.
911÷(5)=911×15\frac{-9}{11} \div(-5) = \frac{-9}{11} \times \frac{1}{-5}

STEP 3

Now, we simplify the multiplication. We multiply the numerators together and the denominators together.
911×15=9×111×5\frac{-9}{11} \times \frac{1}{-5} = \frac{-9 \times1}{11 \times -5}

STEP 4

Calculate the multiplication in the numerator and the denominator.
9×111×=955\frac{-9 \times1}{11 \times -} = \frac{9}{-55}

STEP 5

A fraction with a negative sign in the denominator can be rewritten as a negative fraction. So, we move the negative sign from the denominator to the numerator.
955=955\frac{9}{-55} = -\frac{9}{55}So, 911÷(5)=955\frac{-9}{11} \div(-5) = -\frac{9}{55}.

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