4 1/3 + 1 3/5 - (1 2/3 - 4/5) =?

Question

how do I evaluate this expression using order of operations

Answer 1

Don't forget, the order of operations is PEMDAS!

 

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

 

1. First, we'll look at Parentheses

• We have 1 parenthesis in this problem. (1 2/3 - 4/5)
• When you have a parenthesis, the order of operations starts all over again! But we only have to subtract.
• I'm going to assume you know how to subtract fractions. We will get 13/15

 

We have this equation now 4 1/3 + 1 3/5 - 13/15=?

2. Now exponents.

• We don't have any exponents!!!

3. Now  multiplication

• No multiplication either!

 

4. Now division

• We only have fractions, and because they are as simple as they can get, we won't worry about it.

5. Now addition

• We have one plus sign in this problem.
• 4 1/3 + 1 3/5
• I am going to assume you know how to add fractions
• 4 1/3 + 1 3/5 = 5 14/15

 

We have this equation now. 5 14/15 - 13/15 = ?

 

6. Lastly, we have subtraction

• 14/15 - 13/15 = 1/15
• So now we have 5 1/15

We are left with 5 1/15 = ?

 

So 5 1/15 is your answer!