VOCABULARY ADDING SUBTRACTING MULTIPLYING DIVIDING ORDER OF OPERATIONS FRACTIONS VOCABULARY ADDING SUBTRACTING MULTIPLYING DIVIDING ORDER OF OPERATIONS

IMPORTANT VOCABULARY NUMERATOR – the number above the line in a common fraction showing how many of the parts indicated by the denominator are taken. Ex. 1 5 DENOMINATOR – the number below the line in a common fraction; a divisor. a figure representing the total population in terms of which statistical values are expressed. Ex. 1 5 MIXED FRACTION – a fraction where a whole number is combined with a fraction. Ex. 3 1 5

IMPORTANT VOCABULARY IMPROPER FRACTION – a fraction where the numerator’s value is greater than the denominator’s value. Ex. 5 1 COMMON DENOMINATOR – a situation where 2 or more fractions have the same values as their denominators. Ex. 1 5 8 5 6 2 5 RECIPROCOL – where you flip the numerator for the denominator and vise versa. Ex. 1 5 becomes 5 1

ADDING STEP 1: convert all fractions so that their DENOMINATORS ARE COMMON STEP 2: ADD ONLY THE NUMERATORS STEP 3: bring to lowest terms if appropriate (x 4) (x 5) Example: 2 5 + 1 4 8 20 + 5 20 = 13 20

SUBTRACTING STEP 1: convert all fractions so that their DENOMINATORS ARE COMMON STEP 2: SUBTRACT ONLY THE NUMERATORS STEP 3: bring to lowest terms if appropriate (x 4) (x 5) Example: 2 5 - 1 4 8 20 - 5 20 = 3 20

MULTIPLYING STEP 1: MULTIPLY ONLY THE NUMERATORS STEP 2: MULTIPLY ONLY THE DENOMINATORS STEP 3: bring to lowest terms if appropriate Example: 2 5 x 1 4 = 2 20 1 10

DIVIDING STEP 1: convert the fraction AFTER THE SIGN to its reciprocol. STEP 2: FOLLOW MULTIPLICATION RULES STEP 3: bring to lowest terms if appropriate Example: 2 5 ÷ 1 4 2 5 X 4 1 = 8 5

ORDER OF OPERATIONS (1) BRACKETS (2) EXPONENTS (SIMILAR TO MULTIPLY RULES) (3) MULTIPLICATION & (4) DIVISION (5) ADDITION & (6) SUBTRACTION ** FOLLOW RULES FOR EACH **