Maths Fractions Maths | Year 5 | Fractions | Mixed Number and Improper Fractions | Lesson 1 of 2: Converting Fractions
Aim • I can convert between mixed numbers and improper fractions. Success Criteria • I can identify improper fractions and mixed numbers. • I can represent improper fractions and mixed numbers as diagrams. • I can convert improper fractions into mixed numbers and vice versa.
Odd One Out Which is the odd one out? Why? 75 0.75 100 3 3 3 4 4 4 9 12 3 3 2 4 4 3
Odd One Out Which is the odd one out? Why? 20 50 2 2 1 5 5 3 12 0.4 30 2 2 2 5 5 5
Proper Fractions All these fractions have numerators that are smaller than their denominators. This means that they are all less than 1 . They are called proper fractions . 1 3 5 25 2 4 9 40 Can you write down three more different proper fractions?
Improper Fractions All these fractions have numerators that are larger than their denominators. This means that they are all more than 1 . They are called improper fractions . 4 10 15 50 2 4 9 40 Can you write down three more different improper fractions?
Mixed Number Fractions A mixed number fraction is a whole number and a fraction combined into one ‘mixed’ number. In a mixed number 3 fraction, the whole 2 number has the same number of parts as the denominator of 4 the fraction.
Improper to Mixed Number Improper fractions can also be written as a mixed number fraction as they are equivalents. We can see that the equivalent mixed number 2 1 3 4 fraction is two 11 There are eleven wholes and parts altogether. three parts . 5 6 7 8 4 3 In this fraction, 9 10 11 every whole is 2 made of four parts. 4 Think about how many times 4 multiples into 11.
Converting Challenge 1 Have a go at changing these improper fractions into their mixed number equivalents . 2 8 2 7 7 1 2 1 3 5 3 3 2 5 2 5 1 2 3 4 1 2 3 1 2 7 4 5 6 3 4 6 7 8 5 6 7
Mixed Number to Improper Mixed number fractions can also be written as an improper fraction as they are equivalents. In this mixed In this mixed 5 23 number, every number, there 3 whole is made are five parts 6 6 of six parts. of a whole. Think about how many parts there will 1 2 4 5 6 3 Think about how be altogether if we many parts there calculate 3 × 6. 8 10 11 7 9 12 will be altogether if we add five more 17 13 14 15 16 18 parts of a whole. 22 23 19 20 21
Converting Challenge 2 Have a go at changing these mixed number fractions into their improper fraction equivalents . 10 1 5 1 23 3 3 2 4 3 2 3 2 5 5 2 1 2 3 1 2 4 5 1 3 4 5 6 3 4 6 7 8 9 10 7 5 11 12 13 14 15 17 18 19 20 16 21 22 23
Converting Fractions
Bingo
Aim • I can convert between mixed numbers and improper fractions. Success Criteria • I can identify improper fractions and mixed numbers. • I can represent improper fractions and mixed numbers as diagrams. • I can convert improper fractions into mixed numbers and vice versa.
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