Presentation on theme: "Fractions During this topic you will learn to:"— Presentation transcript:
1 Fractions During this topic you will learn to: Understand the equivalence of fractions.Simplify a fraction.Change proper fractions to improper fractions.Change improper to proper fractionsAdd and Subtract fractionsMultiply and Divide fractions
2 Which are the same as A Quarter Two Fifths A Third A Half 1 2 3 3 14 4 591235824819252561216767570253019338157541899494243598641079Two FifthsA QuarterA ThirdA Half
3 Equivalent FractionsBefore we can look at adding fractions we need to get some practice in finding equivalent fractions.So long as you multiply the top and the bottom of a fraction by the same number you will not change its size (because all you are doing is multiplying by 1!)24828e.g.,x=so=5420520This is just 1 whole
4 Equivalent FractionsMatch up the fraction on the left with its equivalent on the right.2195573127281243604249643848189
5 Improper FractionsAn improper fraction is one where the numerator (top number) is bigger than the denominator (bottom number).This means that there must be more than one whole one.3e.g.= 1=215=4
6 Improper Fractions And Mixed Numbers = 1 = 1 = 3 An improper fraction can also be written as a mixed number. This means a whole number and a fraction.31e.g.= 1== 122153== 344
12 Improper Fractions And Mixed Numbers To convert an improper fraction into a mixed number:How many times does the denominator go into the numerator ?This is the whole number part.The remainder is the numerator of the fraction part.
13 4 Improper Fractions And Mixed Numbers Example: 38 2 = 9 9 How many times does 9 go into 38?What is the remainder?
14 Improper Fractions And Mixed Numbers To convert a mixed number into an improper fraction :Multiply the whole number by the denominator then add the numeratorThis is the numerator of the improper fractionThe denominator stays the same.
15 3 Improper Fractions And Mixed Numbers Example: 5 21 5 26 = + = 7 7 7 How many sevenths is 3 whole ones?3 x 7 = 21
17 Adding Fractions 1 What do you think the answer to this is: + = = We can’t just add numerators and denominators or we end up saying 2 halves make a half1121+==2242We know that 2 halves make a whole one:112+==1222All we add are the numerators, the denominator stays the same.
19 Adding FractionsBefore we can add fractions we have to make sure the denominators are the same This is where our equivalent fractions come in:25+36We have to turn the thirds into sixths25459+=+=36666
21 Multiplying Fractions This is the easiest operation to do with fractions.Just multiply the numerators to get the numerator of the answer,And multiply the denominators to get the denominator of the answer.236e.g.x=5735
22 Dividing FractionsYou can treat division just like multiplication – there is just one step to do first.Turn the fraction you are dividing by upside down.Then change the division to a multiplication.232714e.g.=x=575315