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Oder of Operations (Fractions (Mixed Numbers (Must be changed to Improper,…
Oder of Operations
Fractions
Whole number
Numerator = Top
Denominator = Bottom
Improper Fraction
Numerator > Denominator 5/2
Proper Fraction
Numerator < Denominator 2/5
Mixed Numbers
Whole number + fraction "2 1/2"
Must be changed to Improper
Whole x Denominator
Add Numerator
Retain Denominator
Improper to Mixed
Numerator ÷ Denominator = Whole
Remainder = Numerator
Retain Denominator
Reduce to lowest terms
Multiplying/Dividing Fractions
Cannot multiply Mixed Numbers
Multiply Numerators, then Denominators
Simplify to Lowest Terms (must return to Mixed Numbers)
Division
Flip fraction to right of ÷ then multiply
Adding/Subtracting Fractions
Cannot use Mixed Numbers
Find Common Denominator
Do to the Numerator what you did to the Denom.
Add/Subtract Numerator
Simplify
Do not change Denominator
Signed Numbers
(-)x(-) = +
(+)x(+)= +
(-)(+)= -
If Denominator is negative, so is Numerator (vice versa)
Brackets
Exponents
Division/Multiplication
Addition/Subtraction
From left to right
Repeating addition
Left to right
Repeating multiplication