For the given expression, this means this means evaluating the quotient before finally adding and subtracting.
3/4+7/10-1/8Ă·(- 1/2)
Now, let's divide!
1/8Ă· (- 1/2)
Recall that dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
1/8Ă· ( - 1/2) = 1/8* ( - 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.
cc
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!
With this in mind, we can continue with our subtraction!
3/4+7/10-( - 1/4)
Recall that subtracting a number is the same as adding its opposite!
3/4+7/10-( - 1/4)=3/4+7/10+ 1/4
Now, we can find the sum of three numbers with the same sign. We can do so by finding the sum of their absolute values.
Notice that all three numbers in our sum expression have a positive sign. This means that that the answer is also a positive number, 1710. This is not the simplest form of this fraction because it is improper. Improper fractions can be written as mixed numbers.
