Make the denominators the same, convert the numerators by multiplying, then add the numerators.

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1 Experience & Outcome: MNU 2-07a I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related problems. add simple fractions. Make the denominators the same, convert the numerators by multiplying, then add the numerators. + + divided by 5 and 10 subtract simple fractions. Make the denominators the same, convert the numerators by multiplying, then subtract the numerators. - - divided by 3 and 6 multiply simple fractions. Multiply the numerators, multiply the denominators, then simplify if possible. x x find a fraction of a given amount. Divide the given amount by the denominator. 16 of 96m m use fractions to solve problems. Change the numbers to a fraction and simplify if possible. 10 pupils in a class of 15 are girls. What fraction of the class are girls? divide both by 5 number that can divide into 10 and 15.

2 Experience & Outcome: MNU 2-07b show the equivalent forms of simple fractions, decimal fractions and percentages and can choose my preferred form when solving a problem, explaining my choice of method. change a fraction to a decimal Divide the numerator by the denominator Think of as change a fraction to a percentage Multiply the fraction by 100. x % Think of 100 as apply my knowledge of equivalent fractions, decimals and percentages to solve problems. Change the percentage to a fraction. Find 25% of % Think of 25% as so divide by 4

3 Experience & Outcome: MNU 3-07a solve problems by carrying out calculations with a wide range of fractions, decimal fractions and percentages, using my answers to make comparisons and informed choices for real-life situations. determine the more complex fractions of a quantity Divide by the denominator and multiply by the numerator. Find of 176 of Find then x 3 so of x Find of 60 of Find then x 3 so of x 3 36 put a range of fractions in order Make all the fractions have a common denominator. Put the following fractions in order of size from smallest to largest,,, x x x divided by 4, 8, 16 and 2 (in this case it would be 16) x,,, Put the fractions in order with the smallest numerator first simplified,,,

4 compare and order fractions, decimals and percentages Change to the same format. Compare 60%, 0.5 and % 2 divided by x % ( ) Change all to a percentage 50%, 60%, 66.7% identify and use a range of commonly used fractions with their decimal and percentage equivalents Percentage (%) Decimal Fraction

5 Experience & Outcome: MNU 4-07a choose the most appropriate form of fractions, decimal fractions and percentages to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices. recognise when the most appropriate form to use is a fraction Some simple fractions make the calculation easier. Bob receives a basic wage of 153. This week he receives 33.3% more money due to working extra hours. a) How much extra did he receive? Think of 33.3% as b) What was his total wage? a) of b) Ann has bought a new car which costs her 75% less to run. If her old car cost 180 a month to run. How much does her new car cost to run for a year? Think of 75% as of 180 x per month. Per year 135 x

6 Experience & Outcome: MTH 4-07b solve problems involving fractions and mixed numbers in context, using addition, subtraction or multiplication. solve a problem by adding mixed numbers Add the whole numbers first then add the fractions by finding a common denominator. Alice runs 2 km, walks 4 km then cycles 10 km. What is the total distance Alice travels? divided by 2, 4, km solve a problem by subtracting mixed numbers Subtract the whole numbers first then subtract the fractions by finding a common denominator. John is out training and completes 3 km of his run before he discovers that he has lost his phone. On retracing his steps he finds it lying on the ground 1 km back. How many km did he run before the phone fell out of his pocket? km solve a problem by multiplying mixed numbers Convert the mixed numbers to improper fractions then multiply. Jane had 2 kg of sugar. Her recipe needed times this. How much sugar does she need for her recipe? 2 x 2 + Think of the whole number as having the same denominator as the fraction. Remember to only add the numerators. 4 kg