If the bottom numbers of a fraction are the same, just add (or subtract) the top numbers. a 2 7. c 9. a 9 20
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1 . Adding and subtracting fractions and mixed numbers Questions are targeted at the grades indicated Work out a c +... b... d + Work out and give your answers in their simplest form If the bottom numbers of a fraction are the same, just add (or subtract) the top numbers. D a 0 c 0 + b d + Work out a + b Change the fractions into fractions with the same denominator before you add the fractions. c d + e f + g 0 h + Work out the following. Give each answer as a fraction or mixed number in its simplest form. a + b + c d + A
2 . Adding and subtracting fractions and mixed numbers e + f 0 D g + h Work out a 0 + b c + d e + f 0 + g h B
3 . Adding and subtracting fractions and mixed numbers Work out C a + b + c + d + Work out a b c d + Anya bought two melons. One melon weighed kg, the other melon weighed kg. Work out the total weight of the two melons.... C
4 . Adding and subtracting fractions and mixed numbers The distance from Hal s house to the shops is miles. Hal cycles to the shops from his house. When he has cycled miles his bike gets a puncture. He pushes his bike the rest of the way to the shops. How far does Hal push his bike? C... D
5 . Multiplying fractions and mixed numbers Questions are targeted at the grades indicated In all these questions give your answer in its simplest form. Work out a b c d 0 e f 0 g h In part a write as then multiply the top numbers and the bottom numbers. Work out a of m b of kg c of km d 0 of g e of f of 0 m g of 00 kg h of i of. m j of. kg k of. m l of A
6 . Multiplying fractions and mixed numbers Work out a b 0 It is easier to cancel fractions before multiplying rather than afterwards. c d e f g h 0 Work out a b c d e f B
7 . Multiplying fractions and mixed numbers g h 0 Work out C a 0 b c d e f 0 g h Remember to change mixed numbers to improper fractions before multiplying. Becky receives. pocket money each week. One week she spends of her pocket money on make-up. How much money does she spend on make-up?... C
8 . Multiplying fractions and mixed numbers A book weighs kg. How much will books weigh? C... Malik takes minutes to run mile. If he runs at the same rate, how long will it take him to run miles?... D
9 . Dividing fractions and mixed numbers Questions are targeted at the grades indicated Give all your fractions in their simplest form. Work out a b c d To divide a fraction by a whole number, multiply by the reciprocal. For example, to divide by, multiply by. Work out a b c d e f g h 0 To divide fractions, turn the second fraction upside down and multiply. Work out a b c d 0 e f g 0 h 0 A
10 . Dividing fractions and mixed numbers Work out 0 a b c 0 d C e f g h Turn mixed numbers into improper fractions before dividing. B
11 . Fraction problems Questions are targeted at the grades indicated There are 0 students in a school. of the students eat school lunch. How many students eat school lunch? D There are 0 00 people watching a concert. of the audience are boys, of the audience are girls. a How many girls watched the concert? b What fraction of the audience are adults? Remember that you cannot add or subtract fractions unless they have the same number on the bottom. There are cookies in a box. of the cookies have chocolate chips in them. How many cookies have chocolate chips in them? A bag of sugar weighs pounds. Work out the weight of bags of sugar. To multiply mixed numbers you must change them to improper fractions first. In a box of cookies, of the cookies are made using white chocolate, of the cookies are made using milk chocolate and the rest of the cookies are made using plain chocolate. What fraction of the cookies are made using plain chocolate? There are 00 pupils in a school. of the pupils are boys; how many girls are there in the school? A
12 . Fraction problems A bottle contains litres of water. The volume of a glass is litre. How many full glasses of water can be poured if all the water in the bottle is used? D At a concert, of the audience are boys and of the audience are girls. Work out what fraction of the audience are adults. Marty watches a film that lasts for hours and then a documentary that lasts for of an hour. How long does he watch television for? C 0 A rectangle has width cm and length cm. Work out the area of the rectangle. One piece of wood measures m, another piece of wood measures m. Work out the difference in length between the two pieces of wood. Martin runs for km then walks for km. Jack runs for km then walks for km. Who goes the further and by how much? B
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