The options equivalent to the given fraction are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator. [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.
In order to determine the answers, take note of the following rules:
- When a negative number is divided by a positive number, the result is a negative number. -8 ÷ 2 = -4
- When a positive number is divided by a negative number, the result is a negative number. 8 ÷ -2 = -4
- When a negative number is divided by a negative number, the result is a positive number. -8 ÷ -2 = 4
Using the above rules, the equivalent options are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
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