Question

simplify the following

4/22÷(-16/11)

​

Answer 1

Answer:

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Answer 2

Answer:

Divide: 4/

22

: (-6/

11

) = 4/

22

· -11/

6

= 4 · (-11)/

22 · 6

= -44/

132

= 44 · (-1)/

44 · 3

= -1/

3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -6/

11

is 11/

-6

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - four twenty-seconds divided by minus six elevenths = minus one third.