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Unit 1 Lesson 1 Elements. How to read a b Fraction Numerator (Top number) Denominator (Bottom number) 3 4 “Three fourths” “Three over four” “Three divided by four” Rational numbers 3 5 Proper fraction 3<5 Numerator is smaller than denominator Whole number 6 3 7 Mixed number 11 3 Improper fraction 11>3 Numerator is greater than denominator Decimal Number Fraction number 0.56 / 0 56 Decimal point Working out 24 18 3 5 2 2 6 10 3 10 , 5 8 1 9 , 4 14 3 3 21 35 4 3 4 3 30 50 LCM/LCD : Lowest Common Multiple/Denominator LCM(5,8)= 5x8=40 CD: Common Denominators CD={40, 80, 120,...} LCD(4,14)= 28 CD={28, 56, 84,...} To cancel / To simplify / To express in simplest form ... Producing equivalent fractions 24 80 , 40 40 7 18 , 28 28 Finding a common denominator Working out Rewrite a fraction as a percentage 3 5 3 100 60% because 5 60 Rewrite a mixed number as an improper fraction 5 2 3 2 5 3 6 3 5 3 11 3 Rewrite an improper fraction as a mixed number 25 7 25 7 4 4 3 7 3 ALSO: Convert from a ... to a ... / Change a ... to a ... Expressions. How to read x 1 2 , b, 34%, 7 3 2 5 y 4 , 3 7 4 y 12 “x over three” “(One) half (of) b” “Thirty-four percent” “Seven and two fifths” “y equals four thirds” “Seven fourths equals y over twelve” “Zero point forty-five” “78 point 3” 0· 45, 78· 3, 9· 666... 9· 6 Recurring/Repeating decimal. “9 point recurring 6” Comparing 5 7 1 2 2 7 “Five sevenths is BIGGER/ GREATER THAN two sevenths” 5 15 1 3 3 9 2 3 “One half is SMALLER/ LESS THAN two thirds” “Five fifteenths, one third and three ninths are EQUIVALENT” Equations. How to read 3x 8 x 4 2 6 x “3 eighths (of) x / (3 x over 8) minus a quarter (of) x /(x over 4) equals 2 sixths minus x” x 4 2 1 2x 3 3 2 “x minus 4 all over 2 EQUALS 1 minus 2x all over 3 plus 3 halves”