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Information about Fractions

All you have to know about basics of fractions

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Contents Fractions – the Language of Equivalent Fractions and Cancelling Fractions Top Heavy Fractions and Mixed Numbers Ordering Fractions Finding a Fraction Writing as a Fraction +, -, x and ÷ Fractions 01/03/14 2

What are Fractions ? Parts 1 2 Eg. 2 3 1 2 01/03/14 of a whole 3 4 2 3 6 7 Numerator Denominator 1 1 1 1 3 4 5 50 Unit Fractions 3

Fractions What 1 2 do they mean … We have 1 of those parts The whole is split into 2 parts 3 4 We have 3 of those parts The whole is split into 4 parts 01/03/14 4

Equivalent Fractions 1 2 = 2 4 3 4 = 12 16 x2 1 2 01/03/14 = x2 2 4 x4 3 4 12 = 16 x4 5

Equivalent Fractions 5 8 x4 x3 = 32 20 x4 7 12 21 = 36 x3 6

Cancelling Fractions Reducing fractions to their simplest form Equivalent fractions using the smallest numbers 5 Reduce 10 to simplest form Find HCF of 5 and 10 5 So divide both numerator & denominator by 5 5 10 01/03/14 ÷5 = ÷5 1 2 7

Cancelling Fractions Cancel HCF =3 So, 12 15 ÷3 = ÷3 01/03/14 16 36 12 15 HCF = 4 4 5 16 36 ÷4 = ÷4 4 9

Top Heavy Fractions & Mixed Numbers 2 7 3 1 3 Convert 12 5 into a mixed number 1 1 + 12 01/03/14 + 2 5 = 2 2 5 2 ÷ 5 = 2 with 5 left over 9

Top Heavy Fractions & Mixed Numbers Convert 26 26 into a mixed number 3 ÷ 3 = 8, with 2 left over, so 3 8 2 3 3 3 into a top heavy fraction 5 18 5 How many fifths Convert 01/03/14 10

Top Heavy Fractions & Mixed Numbers Convert So Try 01/03/14 3 3 3 5 into a top heavy fraction 3 = ( 3 x 5 )+ 3 5 5 3 1 3 (3x 3 )+ 1 10 = 3 3 18 = 5 5 3 7 (5x7) + 3 38 = 7 7 11

Ordering Fractions 1 5 But 3 5 4 5 2 5 3 5 Easy !! what about ….. 5 8 11 20 Convert to equivalent fractions with same denominator first 40 Find LCM of 5, 8 and 20 (denominators) 01/03/14 12

Ordering Fractions 3 5 = Now 24 40 11 20 = 22 40 24 40 25 40 then answer the question 11 20 01/03/14 = 25 40 put them in order … 22 40 So, 5 8 3 5 5 8 13

Finding a Fraction What is 1 What about 1 of £100 ? 2 1 To find 5 To find 1 25 of £50 ? 4 ÷5 ÷ 25 1 How would we find 157 01/03/14 2 50 4 100 yes, ÷ 157 14

Finding a Fraction What about 2 of £125 ? 5 1 Find 5 first – 25 5 125 Then, x by 2 So, 2 25 x2 50 of £125 is £50 5 01/03/14 15

Writing as a Fraction Write the fraction in the following form: Number of Values that Meet Your Requirement Total Number of Values and then cancel down to simplest form. Eg. Out of 200 road accidents, 40 involved pedestrians, what fraction is this ? 40 200 01/03/14 = 1 5 16

Adding Fractions Denominators Eg. 1 5 + must be the same 3 5 = 4 5 Convert to equivalent fractions with same denominator, if necessary 01/03/14 17

Adding Fractions Different 1 5 + denominators ? Convert … 3 4 = Remember LCM ? Find LCM of 5 and 4 (denominators) 20 Convert fractions - 20 as denominator 1 4 5 20 19 15 4 + 20 = 3 15 20 20 4 20 = = 01/03/14 18

Subtracting Fractions Subtraction Eg. 3 5 works the same − 1 5 = 2 5 Convert to equivalent fractions with same denominator, if necessary 01/03/14 19

Subtracting Fractions Different 1 2 − denominators – convert … 2 5 = LCM of 2 and 5 (denominators) 10 Convert fractions - 10 as denominator 5 1 2 10 1 5 4 − 10 = 2 4 10 10 5 10 Find = = 01/03/14 20

Adding & Subtracting Fractions Use the following steps, where relevant Convert to top heavy fractions Convert to equivalent fractions with same denominator Add or subtract the numerators Cancel down to simplest terms Convert back to mixed number

Multiplying Fractions Easy, convert to top heavy fraction first Multiply across top and multiply across bottom Eg. 2 1 2 3 × 1 2 = 6 = 3 Remember to cancel to lowest terms or convert back to a mixed number 01/03/14 22

Dividing Fractions Just as easy ! Again, convert to top heavy fractions first, if necessary. Rule:- Turn the 2nd fraction upside down and then multiply 2 5 ÷ 3 8 = 2 5 × 8 3 = 16 15 = 1 1 15 Answers must be in their simplest form and as mixed numbers if appropriate 01/03/14 23

+, -, x and ÷ Fractions Always … Give your answer in its simplest form Use mixed numbers where relevant 01/03/14 24

Session Summary Fractions – the Language of Equivalent Fractions and Cancelling Fractions Top Heavy Fractions and Mixed Numbers Ordering Fractions Finding a Fraction Writing as a Fraction +, -, x and ÷ Fractions 01/03/14 25

Equivalent Fractions. Some fractions may look different, but are really the same, for example:

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The result is already as simple as it can be, so that is the answer: 8 15. Making the Denominators the Same. In the previous example how did we know to cut ...

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Übersetzung für fraction im Englisch-Deutsch-Wörterbuch dict.cc.

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Cool Math free online fractions lessons and games - Learn how to do fractions in a clear and easy way!

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This is a set of games, worksheets and web-links which will help you learn all about fractions.

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A fractions tutorial that models fractions with number lines or circles. Fraction games and worksheets are included.

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Dieses Deutsch-Englisch-Wörterbuch basiert auf der Idee der freien Weitergabe von Wissen. Mehr informationen! Enthält Übersetzungen von der TU Chemnitz ...

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