Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Order of Operations  Problem 2
FREEAlissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Order of operations, or PEMDAS, is used to simplify or evaluate an expression involving a fraction with more than one operation in both the numerator and the denominator. Although "P" stands for parentheses, it refers to grouping symbols in general. Grouping symbols include parentheses, brackets, braces, radicals, and fraction lines. Since a fraction line is considered a grouping symbol, think of everything in the numerator as being in one set of parentheses and everything in the denominator as being in another set of parentheses. Then continue to simplify by using the correct order of operations. Knowing how to simplify or evaluate expressions will be useful when solving equations.
For a lot of students Algebra class is the first time they see a funky fraction like this. It's kind of weird because not only is it like a fraction but you have Math on the top or the numerator, you also have Math to do in the denominator. So when you're simplifying a fraction like this be really careful to follow the order of operations.
First thing you need to do is take care of any groupings which are what the P stands for parentheses. So the first thing I'm going to do is on top there that 3 plus 2 is going to become 5, 8 I haven't dealt with, everything else is going to stay the same, because there is no other simplifying groupings or parentheses, P done.
Next thing I need to do is take care of e which stands for exponents. So you can see I have this 3 squared in the bottom of the fraction. The top will stay the same but the bottom 3 times 3 is +9 and then plus 1, exponents done.
Next thing I need to do is multiplying and dividing moving from left to right. So on top I have some multiplying 5 times 8 is 40. Bottom stays the same, multiplying and dividing done.
The last step is this adding subtracting. I'm going to move up here, pardon me. So I have 40 divided by 9 plus 1 is 10 and then I'm going to simplify that fraction 40 divided 10 is equal 4.
It's kind of confusing because those of you who know a lot about fractions know that what I did here was actually a division step but division happened earlier in my PEMDAS ordering. That's one of the tricks with PEMDAS or with order of operations is you need to simplify different groups before you simplify the entire problem. So when you come to problems like this that are big scary fractions simplify the top and bottom using PEMDAS and then reduce your final answer.
Please enter your name.
Are you sure you want to delete this comment?
Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Concept (1)
Sample Problems (8)
Need help with a problem?
Watch expert teachers solve similar problems.

Order of Operations
Problem 1 29,613 viewsSimplify:
8 ÷ ½ ⋅ 3 + (6 − 4) 
Order of Operations
Problem 2 17,505 viewsHow to simplify:
(3 + 2)(8) (3)² + 1 
Order of Operations
Problem 3 14,090 viewsHow to simplify:
3 [2 (4 + 1)²] − 10² 
Order of Operations
Problem 4 449 views 
Order of Operations
Problem 5 434 views 
Order of Operations
Problem 6 416 views 
Order of Operations
Problem 7 406 views 
Order of Operations
Problem 8 416 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete