Maths Revision & Practice Booklet

Maths Revision &Practice BookletName:Fractions, Decimals andPercentagesvisit twinkl.com

Maths Revision & Practice BookletReviseUsing Common Factors to Simplify FractionsFractions that have the same value but represent this using different denominators andnumerators are equivalent. We can recognise and find equivalent fractions by multiplying ordividing the numerator and denominator by the same amount. When we simplify a fraction,we use the highest common factor of the numerator and denominator to reduce the fraction tothe lowest term equivalent fraction (simplest form).2136Factors of 21:137Factors of 36:12346912 18 36The highestcommon factoris 3.21 3 7 736 3 12 12Using Common Multiples to Express Fractions in the Same DenominationTo compare or calculate withfractions, we often need to givethem a common denominator.We do this by looking at thedenominators and finding theirlowest common multiple.35353 7 215 7 35475 7 3535 is the lowest common multiple.474 5 207 5 35Page 2 of 11Remember that whatever we doto the denominator, we have todo to the numerator.visit twinkl.com

Maths Revision & Practice BookletComparing and Ordering Fractions, Including Fractions 1To compare and orderfractions with the samedenominators To compare and orderfractions with differentdenominators To compare andorder fractions withmixed numbers 59.look at thenumerators. change thefractions intoequivalentfractions with thelowest commondenominator. change themixed numberinto an improperfraction andcontinueas needed.59 5 3 and254521797293527 9 45andand272111343 2821 7Add and Subtract Fractions with Different Denominators and Mixed NumbersWhen we add and subtract fractions with differentdenominators, we need to give them a commondenominator. We use the lowest common multipleas the common denominator to create equivalentfractions which we can then add and subtract.If one of the fractions is a multiple ofthe other, use multiplication to changethe smaller denominator to the samedenominator as the other fraction.Page 3 of 1152 93 52 936 3 9 3 5 6 11 9991 92visit twinkl.com

Maths Revision & Practice BookletIf the fractions aren’t multiples of eachother, use multiplication to change themboth to the lowest common denominator.89 4 4 8394 323 9 27364 9 3632 - 27 5363636If the fractions involve adding or subtracting mixed numbers, there are two methods thatcan be used:Add the whole numbers and thefractions separately.2 35 23 3 14 5 2 56 531 54 1720 17125 2020205 1720Convert the mixed numbers toimproper fractions.-1 15 4917 68536 306530304930 1 1930Multiplying Simple Pairs of Proper Fractions, Writing the Answer in itsSimplest FormMultiply a ProperFraction by aWhole NumberWrite the whole numberwith a denominatorof 1. Multiply thenumerators togetherand multiply thedenominators together.Multiply ProperFractions TogetherMultiply the numeratorstogether and multiplythe denominatorstogether. Simplify theanswer if needed.Page 4 of 1154 71 207 2 6733 58 9 40visit twinkl.com

Maths Revision & Practice BookletDividing Proper Fractions by Whole NumbersMultiplication and division areinverse operations of each other. 5179 6is the same as 1558 4 17 6 915 4 877 1 549 655 1 328 4Calculating Decimal Equivalents of FractionsEvery proper fraction has a decimal number equivalent, which we can calculate by dividingthe numerator by the denominator.Common decimal equivalents of fractions can be learnt as facts:Fraction121411015Decimal0.50.250.10.2We can calculate the decimal equivalents of trickierfractions using written methods of division.Sometimes, a decimal equivalent will be a long number.In these cases, you can round the decimal to one or twodecimal places.0 5 7 14514740007 Page 5 of 1147 0.57 rounded totwo decimal places.visit twinkl.com

Maths Revision & Practice BookletIdentify the Value of Each Digit in Numbers to Three Decimal PlacesIn order to be able to read, write and calculate with decimal numbers, we need to understandthe place value of each digit after the decimal point.As the place value position moves right of the decimal point, the digits become ten times 0Recall and Use Equivalences between Simple Fractions,Decimals and PercentagesFractions, decimals and percentages are equivalent ways of expressing the same 0.525%0.2575%0.7520%0.210%0.1To calculate trickier equivalents, we can use the rules in this diagram to help us:Percentage to FractionWrite the percentage as a fractionwith a denominator of 100 andthen simplify.6063100 10 560%Percentage35FractionFraction to DecimalDivide the numerator bythe denominator.35 3 5 0.6Decimal to Percentage0.6DecimalMultiply the decimal by 100and add the % sign.0.6 100 60%Page 6 of 11visit twinkl.com

PractiseSupercharge your powers byanswering these questions.1.Put these fractions in order of size, starting with the smallest.342.161 markgreatestThe numbers in this sequence increase by the same amount each time.Write the missing numbers.1 371 mark1 1214In each box, circle the number that is greater.14.23smallest13.712351.55191 1001.91107 1.67231 mark1.8Write the missing fraction in this calculation.1 mark1 513 1total forthis pagePage 7 of 11visit twinkl.com

5.PractiseWrite the missing numbers in these equivalent fractions.4 12 51 mark906.Circle the improper fraction that is equivalent to4 791 mark4097.419429439Tick the calculation that is the best estimate.41112-1 15 1 564-1 25-2 25-1 24-1 18.4491 markI spent 1.40 on a drink and 1.70 on a sandwich. I have three fifths of mymoney left. How much money did I have to start with?2 marksShowyourmethod total forthis pagePage 8 of 11visit twinkl.com

Practise9.Yesterday, I read 37 of my book. Today, I read the remaining 152 pages tofinish the book. How many pages are there in my book?2 marksShowyourmethodpages10.One fruit smoothie contains 23 of a carton of orange juice. I make 7smoothies. Calculate, as a mixed number, how much orange juice I usealtogether.2 marksShowyourmethodcartons11.3 are shaded.In this circle, 1and 164What fraction of the whole circle is not shaded?2 marksShowyourmethodtotal forthis pagePage 9 of 11visit twinkl.com

12.PractiseWhat fraction of this diagram is shaded?2 marks?1823Showyourmethod2 marks13.I make a model out of 25 cubes.What percentage of the cubes in the model are blue?Showyourmethod%total forthis pagePage 10 of 11visit twinkl.com

Practise14.I have 380. I spend 18% of my money on a new bike.How much money do I spend on my new bike?2 marksShowyourmethod total forthis pageSelf-AssessmentColour in the superhero strength-o-meter to show how you feelabout each of these statements:I can use common factors to simplify fractions and use commonmultiples to express fractions in the same denomination.I can compare and order fractions, including fractions 1.I can add and subtract fractions with different denominators andmixed numbers, using the concept of equivalent fractions.I can multiply simple pairs of proper fractions, writing theanswer in its simplest form.I can divide proper fractions by whole numbers.I associate a fraction with division and calculate decimalfraction equivalents.I can recall and use equivalences between simple fractions,decimals and percentages.Page 11 of 11visit twinkl.com

multiples to express fractions in the same denomination. I can compare and order fractions, including fractions 1. I can add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. I can multiply simple pairs of proper fra