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What Are Combined Operations?

What are combined operations? They are those in which various arithmetic operations appear: adding, subtracting, multiplying and dividing.

How do you solve them? To solve combined operations correctly you have to follow the following steps:

STEP 1: Do the operations that are inside of the parentheses.


In our example, we have inside of the parentheses a summing operation that we should solve first:


STEP 2: Do any multiplication and division that appears.


Continuing with our example of combined operations, now we have to do the multiplication:


STEP 3. Do any addition and subtraction that appears.

All that we have left is a subtraction to solve the operation. And the result is 38.


We are going to look at another example of how to solve combined operations:

21 / 3 + 2 x 5

In this case, we do not have parentheses, so we are going to step 2 for combined operations: do the multiplication and division. We have one multiplication and one division:

21 / 3 = 7

2 x 5 = 10

Now we only have a sum left:

21 / 3 + 2 x 5

    7    +      10


And the result of the operation is 17.


Next, I’m going to propose a challenge to you. Are you capable of solving this combined operation?

5 + (10 – 2 x 3) / 2

Comment your response and share this post so that your classmates can also try to solve this type of operation.

If you still have any doubts or you want to see more examples, you can sign up at Smartick and learn more math every day!

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  • DicksonMar 14 2017, 9:47 PM

    Fantastic tutor

    • FarizJan 28 2020, 5:36 AM

      I try this multiple times. Is the answer 9? if I’m wrong, I’m stupid

      • SmartickJan 28 2020, 3:02 PM

        5 + (10 – 2 x 3) / 2