Compiled by Mr. Lafferty Maths Dept. Fractions Simplifying Fractions Top-Heavy / Mixed Fractions Add & Subtract basic Fractions www.mathsrevision.com Add & Sub Harder Fractions 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter X www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions Learning Intention Success Criteria We are learning the term fraction. Understand the term fraction. Be able to simplify a fraction. www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Fraction Reminder A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions Write down the fraction that is shaded in light blue. www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Fractions www.mathsrevision.com It is possible to find a fraction equivalent to any fraction that you have by multiplying the numerator and the denominator by any number. Find a fraction equivalent to : x2 www.mathsrevision.com x3 x2 x3 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Fractions www.mathsrevision.com We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷3 www.mathsrevision.com ÷2 ÷3 ÷2 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Fractions We can sometimes ‘simplify’ a fraction by dividing by the HCF of the numerator and denominator F15 1 and 15 3 and 5 F27 1 and 27 3 and 9 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Fractions Now try TJ3a Ex 1 Ch9 (page 78) www.mathsrevision.com 22-Feb-19 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions 8cm 1. Calculate the perimeter of the shape. 10cm 2. Name the main parts of a fraction. www.mathsrevision.com 3. Change 7% to a decimal. 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Mixed Fractions Learning Intention Success Criteria We are learning to convert fractions between Top-Heavy and Mixed Fraction. Understand what the terms fraction, top-heavy and mixed fraction are. Convert between top-heavy and mixed fraction. www.mathsrevision.com Solve problems involving fractions. 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

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 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed means seven thirds 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed NUMERATOR  DENOMINATOR can be written as 7  3 remainder 1 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed NUMERATOR  DENOMINATOR can be written as 17  5 remainder 2 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

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  2  37 fifths 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Fractions Now try TJ3a Ex 2 Ch9 (page 79) www.mathsrevision.com 22-Feb-19 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions 5cm 7cm www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Add / Sub Fractions Learning Intention Success Criteria We are learning how to add and subtract basic fractions. Understand that to add and subtract fractions the denominators must be the same. www.mathsrevision.com To be able to do simple fraction calculations. 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Add / Sub Fractions You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 Example 2 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Add Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Fractions Now try TJ3a Ex 3 Ch9 (page 82) www.mathsrevision.com 22-Feb-19 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Harder Fractions Learning Intention Success Criteria We are learning how to add and subtract fractions with different denominators. Understand and apply rules for adding and subtracting fractions. Convert top heavy fractions to mixed fractions. www.mathsrevision.com 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Before we can add or subtract they MUST have the same denominator Harder Fractions How can we add or subtract fractions that have different denominators Step 1 : Find the LCM for the denominators Step 2 : Convert to equivalent fractions Step 3 : Add or Subtract the numerator and simplify 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 2 and 4 4 Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 2 1 + 4 4 4 3 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 5 and 6 30 Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 25 12 - 30 30 13 30 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 4 and 6 12 Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 10 9 + 12 12 19 12 7 12 = = 1 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Simple ! Harder Fractions How can we add / subtract mixed fractions that have different denominators Simple ! When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 2 and 3 6 Harder Fractions 1 6 3 4 + = 5 + 1 6 6 1 6 7 6 1 6 = 6 = 1 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 8 and 3 24 Harder Fractions 5 24 21 16 - = 3 + 24 24 5 24 5 24 = 3 = 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 4 and 6 12 Harder Fractions 7 12 9 10 + = 4 + 1 12 12 7 12 19 12 7 12 = 5 = 1 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Most Difficult Fractions Adding a negative is the same as subtracting LCM of 4 and 3 12 Most Difficult Fractions 5 12 - 3 8 - = 4 + 12 12 5 12 - 7 12 5 12 - = 4 = 3 = 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Most Difficult Fractions Adding a negative is the same as subtracting LCM of 5 and 3 15 Most Difficult Fractions 7 15 - 3 10 - = 6 + 15 15 7 15 - 8 15 7 15 - = 6 = 5 = 22-Feb-19 Compiled by Mr. Lafferty Maths Dept.

Fractions Now try TJ3a Ex 4 Ch9 (page 84) www.mathsrevision.com Have you updated your Learning Log ? Fractions Now try TJ3a Ex 4 Ch9 (page 84) www.mathsrevision.com Are you on Target ? I can ? 22-Feb-19 Created by Mr. Lafferty Maths Dept.