2 What is a Fraction? numerator 1 3 denominator Like a decimal, a fraction is part of a wholeA fraction is less than one wholeA fraction has 2 parts:numeratordenominatorThe numerator indicates the counted parts of a fractionThe denominator indicates thetotal parts of a fractionGive S various fractions, and have them identify the numerator and denominator.
3 Parts of Wholes & Sets A fraction can express part of a whole: A fraction can express part of a set1 of 4 pieces of the whole pizza was eaten1/41 of 4 cookies in the set was eaten1/4
4 Numerators, Denominators, and Division A fraction is also simply adivision expressionThe numerator is the dividendThe denominator is the divisorSo, the fraction 1/3 is the same as 1 divided by 3
5 Expressions as Fractions If we take the expression, 9 ÷ 10, we can write it as the fraction, 9/10, so9 ÷ 10 = 9/10Can you write each expression as a fraction?1 ÷ 33 ÷ 62 ÷ 76 ÷ 135 ÷ 8
6 Proper vs. ImproperA fraction is proper when its numerator is smaller than its denominator (3/4, 5/8, 6/10).A fraction is improper when its numerator is larger than its denominator (4/3, 8/5, 10/6).Which are improper fractions?4/ / / /58/3 7/ / /6
7 Mixed Numbers A mixed number has a whole number with a fraction: 4 The mixed number above is read, “four and two-thirds.”Mixed numbers are made by changingimproper fractions.2 3
8 Making Mixed NumbersTo change an improper fraction to a mixed number:1. Write the improper fraction asa division expression:= 23 ÷ 6
9 Making Mixed Numbers2. Solve the expression:6 233R5185
10 Making Mixed Numbers6 23Use the quotient (3) as the whole number.3R5Use the remainder (5) as the numerator of the fraction.6185Use the divisor (6) as the denominator of the fraction.
11 So, the improper fraction, 23/6 = the mixed number, 3 and 5/6! Making Mixed NumbersSo, the improper fraction, 23/6 = the mixed number, 3 and 5/6!6 233R53566185
12 Let’s Make Mixed Numbers! Convert the improper fraction, 7/5 to a mixed number.What do we do first?Write 7/5 as a division expression!Now what?Solve the expression!Finally…Use the quotient as the whole number,the remainder as the numerator,and the divisor as the denominator!
13 Let’s Make Mixed Numbers! Convert the improper fractions to mixednumbers.1. 6/42. 12/53. 37/94. 17/71-2/42-2/54-1/92-3/7
14 Can You Do the Opposite?To convert a mixed number to an improper fraction:1. Multiply the denominator by thewhole number.2. Add in the numerator.3. Write the answer as the numeratorof the improper fraction, and theoriginal denominator as theimproper fraction’s denominator.Show S how to start at the bottom (denominator) and work clockwise to the whole number, and then the numerator.
15 (denominator x whole number) Let’s Try One!Convert 5-2/3 to an improper fraction.What should we do first?Multiply 3 x 5!(denominator x whole number)Now what?Add 2 (numerator)!Finally?Use 17 as the numerator and3 as the denominator!
16 Let’s Try Some More! Convert to improper fractions. 1. 3-4/5 2. 6-1/3 /5/3/6/719/519/329/672/7