Question

What should be added to get -9/8 as to get 12/16?

A. -15/8
B. 15/8
C. 3/4
D. -3/4

Answer 1

To get from -9/8 to 12/16, we need to add the fraction (21/16)

Step-by-step explanation:

To get from -9/8 to 12/16, we need to find what number we can add to -9/8 to get 12/16. We can find this by finding the difference between 12/16 and -9/8, which is (12/16) - (-9/8).

To simplify this, we need a common denominator, which is 16. So we have (12/16) - (-9/8) = (12/16) + (9/8). To add these fractions, we need a common denominator, which is 16.

We multiply the numerator and denominator of the first fraction by 2 to get (24/32) and multiply the numerator and denominator of the second fraction by 2 to get (18/32).

Now we can add the fractions: (24/32) + (18/32) = (42/32).

However, we need to simplify this fraction, so we divide both the numerator and denominator by their greatest common divisor, which is 2. This gives us (42/32) = (21/16).

So, to get from -9/8 to 12/16, we need to add the fraction (21/16).