Consider the given complex fraction.
149/- 13- 16
Let's simplify the denominator of this fraction first.
- 1/3-1/6
Recall that subtracting a number is the same as adding its opposite.
- 1/3- 1/6 ⇔ - 1/3+( - 1/6)
Now, we can find the sum of two numbers with the same sign. We can do so by finding the sum of their absolute values.
Notice that both numbers in our sum expression have a negative sign. This means that that the denominator is also a negative number, - 12. Let's get back to the complex fraction!
149/- 13- 16 = 149/- 12
Recall that fractions can be thought of as dividing the numerator by the denominator.
149/- 12=14/9Ă· (- 1/2)
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
14/9Ă· ( - 1/2) = 14/9* ( - 2/1)
When multiplying real numbers, the product will be positive if the signs are the same and it will be negative if the signs are different.
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Same Sign & Different Signs
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
In our case one number is negative and one number is positive, so the product will be negative.
When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
