Question

(3 1/2 - 9 3/4) divided by (-2.5)

Answer 1

Answer:

-2.8

Step-by-step explanation:

14 39

4. - 4. = 25/4

25/4= 7

7/-2.5= -2.8

Answer 2

Answer: 2.5

Step-by-step explanation:

$\frac{3\frac{1}{2}-9\frac{3}{4} }{-2.5}$

Solve the numerator first.

$3\frac{1}{2}-9\frac{3}{4} =9-3(\frac{1}{2}-\frac{3}{4})=6(\frac{1*4-2*3}{2*4})=6(\frac{4-6}{8})=6(\frac{-2}{8})=-6\frac{1}{4}$

We are left with:$\frac{-6\frac{1}{4} }{-2.5}$

To be able to work this out, we must convert the fraction to a decimal.

To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.

6+(1/4)

6+(0.25)

6+0.25

6.25

--------------------------------------------

$\frac{-6.25}{-2.5}$

Now, we know that this is a positive outcome because we have 2 negatives dividing.

6.25/2.5

To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.

6.25*100/2.5*100

625/250

-----------------------------------------------------------

Let's solve this.

625/250=2.5

500

-------

125'0

1250

-----------

   ---