www mathsrevision com Fractions Reminder and Mixed Fractions

www. mathsrevision. com Fractions Reminder and Mixed Fractions Add & Subtract basic Fractions Add & Sub Harder Fractions Multiplying Fractions Dividing Fractions 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter X 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Mixed Fractions Learning Intention 1. To understand the term Fraction and Mixed Fraction. Success Criteria 1. To know what the terms fraction, top-heavy and mixed fraction are. 2. Convert between top-heavy and mixed fraction. 3. Solve problems involving fractions. 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Fraction Reminder www. mathsrevision. com A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Fractions We can sometimes ‘simplify’ a fraction by dividing by the HCF of the numerator and denominator F 15 1 and 15 3 and 5 11/6/2020 F 27 1 and 27 3 and 9 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Fractions A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number, like, consisting of a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Top Heavy to Mixed means seven thirds 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed www. mathsrevision. com NUMERATOR DENOMINATOR can be written as 7 3 remainder 1 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed www. mathsrevision. com NUMERATOR DENOMINATOR can be written as 17 5 remainder 2 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Mixed to Top Heavy WHOLE NUMBER DENOMINATOR then add NUMERATOR Changing a mixed fraction to a top-heavy. 5 4 3 23 quarters 7 5 37 fifths 2 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Mixed Fractions Now try Exercise 1 Ch 31 (page 128) 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 5 cm 7 cm 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Add / Sub Fractions Learning Intention 1. To understand how to add and subtract basic fractions. Success Criteria 1. To know that to add and subtract fractions the denominators must be the same. 2. To be able to do simple fraction calculations. 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Add / Sub Fractions You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 11/6/2020 Example 2 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Add Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Add / Sub Fractions Now try Exercise 2 Ch 31 (page 131) 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions Learning Intention 1. To understand how to add and subtract fractions with different denominators. Success Criteria 1. Find the LCM of two denominators. 2. Convert fractions to equivalent fractions. 3. Add / Sub fractions. 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions How can we add /subtract fractions that have different denominators Step 1 : Find the LCM of the denominators Step 2 : Change denominators to LCM Step 3 : Add/Subtract the numerators 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com Example 1 M 2 = 2, 4 M 4 = 4 11/6/2020 LCM = 4 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com Example 2 M 6 = 6, 12, 18, 24, 30 M 5 = 5, 10, 15, 20, 25, 30 11/6/2020 LCM = 30 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com Example 3 M 6 = 6, 12, M 4 = 4, 8, 12 11/6/2020 LCM = 12 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions Now try Exercise 3 Ch 31 (page 133) Q 1 and Q 2 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions How can we add /subtract mixed fractions that have different denominators Step 1 : Add/Subtract whole numbers Step 2 : Find the LCM. Step 3 : Change denominators to LCM Step 4 : Add/Subtract the numerators 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com Example 1 M 2 = 2, 4, 6 M 3 = 3, 6 11/6/2020 LCM = 6 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com Example 2 M 8 = 8, 16, 24 M 3 = 3, 6, 9, 12, 15, 18, 21, 24 11/6/2020 Compiled by Mr. Lafferty Maths Dept. LCM = 24

Harder Fractions www. mathsrevision. com Example 3 M 4 = 4, 8, 12 LCM = 12 M 6 = 6, 12 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions Now try Exercise 3 Ch 31 (page 134) Q 4 to Q 8 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Harder Fractions Step 1 : Subtract whole numbers Step 2 : Find the LCM Step 3 : Change denominators to LCM Step 4 : Subtract the numerators 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com M 2 = 2, 4, 6 M 3 = 3, 6 LCM = 6 We cannot subtract write 4 as 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com M 5 = 5, 10, 15 M 3 = 3, 6, 9, 12, 15 LCM = 15 We cannot subtract write 6 as 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Now try Exercise 3 Ch 31 (page 134) Q 9 to Q 15 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Multiplying Fractions Learning Intention Success Criteria 1. To show to multiply basic and mixed fractions. 1. To know the simply rules for multiplying basic and mixed fractions. 2. Calculate fractions. 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 11/6/2020 Example 2 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Multiplying Fractions Now try Exercise 4 Ch 31 (page 136) Q 1 to Q 4 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com Multiplying Mixed Fractions 1. Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com Example 1 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com Example 2 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Multiplying Fractions Now try Exercise 4 Ch 31 (page 136) Q 5 to Q 10 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Dividing Fractions Learning Intention Success Criteria 1. To show to divide basic and mixed fractions. 1. To know the simply rules for dividing basic and mixed fractions. 2. Calculate fractions. 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Dividing Fractions It is almost impossible to divide fractions like by actually dividing. Instead we change it into a multiplication by: 11/6/2020 Always = 1 Compiled by Mr. Lafferty Maths Dept.

Dividing Fractions www. mathsrevision. com Easy rule to remember is: Instead of dividing by Example 1 11/6/2020 , multiply by Example 2 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Dividing Fractions Now try Exercise 5 Ch 31 (page 138) Q 1 to Q 4 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Dividing Fractions For mixed fractions YOU MUST make them top-heavy first !! Instead of dividing by , multiply by Example 1 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

Dividing Fractions www. mathsrevision. com Example 2 11/6/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Dividing Fractions Now try Exercise 5 Ch 31 (page 138) Q 5 to Q 10 11/6/2020 Compiled by Mr. Lafferty Maths Dept.