SOLUTION: I need to be able to help a student learn how to simplify and algebraic expression that includes fractions, however i am unsure how to do it myself- the equation looks like this

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Question 1024464: I need to be able to help a student learn how to simplify and algebraic expression that includes fractions, however i am unsure how to do it myself-
the equation looks like this-
8/10(3/2 - 8b) + 3b -5m

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
8%2F10%283%2F2+-+8b%29+%2B+3b+-5m -------I assume the rendering does not show what is really given.

GUESS: You are actually maybe given %288%2F10%29%283%2F2-8b%29%2B3b-5m

The order of operations among Addition, Subtraction, Multiplication, Division, Groupings must go in this order:
Parentheses (grouping symbols);
Exponents
Multiplications
Divisions
Additions
Subtractions
-
Meaning, do operations inside grouping symbols FIRST,... and do subtractions LAST (if any); and everything else listed, in order.

What groupings do you find?
Only %283%2F2-8b%29; and no computations or simplifications are possible in this expression.

What is next? Exponents? No. None.

Do then, any multiplications, in your case, involving Distributive Property.
%288%2F10%29%283%2F2%29-%288%2F10%29%288b%29%2B3b-5m
SIMPLIFY ANY TERMS!
3%2A4%2F10-%284%2F5%298b%2B3b-5m
6%2F5-%2832%2F5%29b%2B3b-5m

Not finished, but now is a good time to begin combining like-terms.
-%2832%2F5%29b%2B3b-5m%2B6%2F5, which uses Commutative Property of Equality.

Use ordinary fractions skills to finish combining the terms of b.
-%2832%2F5%29b%2B%285%2F5%29%283b%29-5m%2B6%2F5
-%28%2832%2B5%29%2F5%29b-5m%2B6%2F5
highlight%28-%2837%2F5%29b-5m%2B6%2F5%29-----basically done, unless you want mixed number coefficients instead of improper fraction coefficients.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

I need to be able to help a student learn how to simplify and algebraic expression that includes fractions, however i am unsure how to do it myself-
the equation looks like this-
8/10(3/2 - 8b) + 3b -5m
If this is: %288%2F10%29%283%2F2+-+8b%29+%2B+3b+-+5m, we get:
%284%2F5%29%283%2F2+-+8b%29+%2B+3b+-+5m
%284%2F5%29+%2A+%283%2F2%29+%2B+%284%2F5%29+%2A+%28-+8b%29+%2B+3b+-+5m
%282cross%284%29%2F5%29+%2A+%283%2Fcross%282%29%29+-+%2832b%2F5%29+%2B+3b+-+5m
%286%2F5%29+-+%2832b%2F5%29+%2B+3b+-+5m
%286+-+32b+%2B+15b+-+25m%29%2F5 ------- Multiplying by LCD, 5
highlight_green%28%28-+17b+-+25m+%2B+6%29%2F5%29%29 ------ Correct answer.