Question

3 1/8 ( 2/3 +2 2/3 (1 1/4 − 6/5 ))

Answer 1

The answer would be -9/40

Here’s how you solve it!

Use PEMDAS through out the whole process

Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))

Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))

Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:

3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)

Then use the greatest common divisor and reduce it by 2

3✖️1/8✖️(2/3➖2/3✖️19/10)

Then reduce again

3✖️1/8✖️(2/3➖1/3✖️19/5)

Then multiply the two factors so it now looks like this:

3✖️1/8✖️(2/3➖19/15)

Now subtract what’s in the parentheses so you get this:

3✖️1/8✖️(➖3/5)

Since a positive multiplied by a negative equals a negative it will now look like this:

➖3✖️1/8✖️3/5

Now all you have to do left is calculate the product to get your answer:

-9/40

Hope this helps! :3