Answer:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Let's calculate each division step by step:
11/6 divided by -16/9:
To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction. Thus, we have:
(11/6) ÷ (-16/9) = (11/6) * (9/-16)
Now, let's multiply the numerators and denominators:
Numerator: 11 * 9 = 99
Denominator: 6 * -16 = -96
Therefore, the result is 99/-96, which can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:
Simplified result: 33/-32
7/8 divided by 9/10:
Similarly, we multiply the first fraction by the reciprocal of the second fraction:
(7/8) ÷ (9/10) = (7/8) * (10/9)
Multiplying the numerators and denominators:
Numerator: 7 * 10 = 70
Denominator: 8 * 9 = 72
The result is 70/72, which can be simplified by dividing both the numerator and denominator by their GCD, which is 2:
Simplified result: 35/36
Therefore, the work for each division is as follows:
11/6 divided by -16/9:
(11/6) ÷ (-16/9) = (11/6) * (9/-16) = 99/-96 = -33/32
7/8 divided by 9/10:
(7/8) ÷ (9/10) = (7/8) * (10/9) = 70/72 = 35/36
Explanation: