Calculating adding and subtracting fractions with like denominators
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1 Clculting dding nd subtrcting frctions with like denomintors I te of cke for brekfst. Then I te nother How mny qurters did I et ltogether? + = for lunch. Shde the shpes to help you nswer the problems: + = b = c = d + = Try these. Drw some digrms if tht will help you. + = b = c + + = d = Write ddition frction sentences for the following problems. Write your nswers: of the kids in Biley s clss plyed bsketbll t recess. of the kids plyed footbll. of the kids st round nd chtted. Wht frction of the clss plyed sport? + = b Josh spent of his pocket money t the milk br nd buying credits for his gme. Write frction sentence to show the frction he spent. + = Look t the problem + =. Why does the sty s why isn t it + =? Copyright P Lerning
2 Clculting dding nd subtrcting frctions with like denomintors I hd of cke in the fridge. I te. I hd left. = ind nswers to these subtrction problems. The first one hs been done for you. b = = 0 c = d = e = f = Use the digrms to help you solve these problems: Mrit cut her birthdy cke into equl slices nd te of them stright wy. Wht frction ws left? b Sm plyed soccer gme. He plyed golie for qurter of the gme nd in ttck for the rest. Wht frction of the gme did he spend in ttck? c Jcint spent of her pocket money on chocolte nd mgzine. Wht frction did she hve left? of it on 7 Use the number lines to help you work out the nswers to these problems: + = 0 b 7 = 0 7 c = d = 0 Copyright P Lerning 7
3 Clculting dding nd subtrcting frctions to nd from whole Adding frctions to whole numbers is simple process. + = + = Add these frctions nd whole numbers: + = b + = c + = d + = e + = f = g + = h + = i + = How do we subtrct frctions from whole? We renme the wholes to mke it simpler. Look t the problem. How mny re in whole? There re Now the problem is esier: = in whole. Renme the wholes s frctions nd use the digrms to help you solve these problems: = b = = = c = d = = = e = f = = = Copyright P Lerning
4 Clculting dding nd subtrcting frctions Wht could the missing numbers be? Crete two different options for ech: + = b = + = = c + = d + = + = + = Solve these problems. Drw digrms if they help: You hve pckets of cookies. One friend ets pcket, nother ets nd nother ets. Wht frction do you hve left? b Wht frctions do you know tht hve difference of? Now I could lso use_ equivlent frctions or _ improper frctions here Copyright P Lerning 9
5 Clculting dding deciml frctions How do we dd deciml frctions using written strtegy? We rrnge the numbers so the plce vlues line up nd then we strt with the smllest vlue. We first dd the tenths. tenths nd 7 tenths is tenths. We renme this s unit nd tenths. We write the in the tenths column nd move the unit to the units column. Then we dd the units. + + = Knowing how to renme is useful skill when dding deciml frctions. Prctise your renming skills _ here by colour coding the mtching boxes: tenths 0 tenths hundredths tenths hundredths 7 units nd tenths units nd tenths hundredths 7 tenths tenth nd hundredths unit unit nd tenths units, tenth nd hundredths tenths nd hundredths Add these deciml frctions:. b. 7 c d. e. f Now try these. Strt with the hundredths nd remember to renme if neccessry:. b. 7 c Copyright P Lerning
6 Clculting dding deciml frctions Use mentl or written strtegy of your choice to solve these problems: Add.0 nd. b Add. nd 7. We cn lso use our mentl_ ddition strtegies when_ dding deciml frctions. c Jck scored 7. for his first dive nd. for his second. Wht ws his totl score? d Kte bought movie ticket costing $9.0 nd drink/ popcorn combo costing $.9. How much did she spend in totl? This is smple of the menu t Lur s Lunches. Brd orders souvlki, bucket of hot chips nd n ornge juice. How much will this cost him? b Angelin goes wild nd orders sushi roll, bottle of wter nd piece of fruit. Wht will this cost her? c Choose your own lunch. Itemise your list nd clculte the totl vlue of your order. Sld sndwich. Sushi rolls.0 Hot chips.9 Souvlki 7. ruit.0 Stirfry noodles.9 Slurpee. Ornge juice.9 Bottle of wter. Choc or bnn muffin. Copyright P Lerning
7 Clculting subtrcting deciml frctions How do we subtrct deciml frctions using written strtegy? We rrnge the numbers so the plce vlues line up nd then we strt with the smllest vlue. We first subtrct the tenths. We hve tenths, cn we subtrct tenths from this? No, so we renme unit s 0 tenths. Now we hve tenths. tenths subtrct tenths is 7 tenths. We hve units, cn we subtrct units? Yes, the nswer is unit Solve these subtrction problems:. b. 7 c.... d. e. f Now try these. Strt with the hundredths nd remember to renme if neccessry:. b. 7 c Sometimes we hve to work with numbers tht hve different mount of digits such s.. When this hppens, we renme. tenths becomes 0 hundredths:.0. Renme these problems nd solve: 9. b. 7 c Copyright P Lerning
8 Clculting subtrcting deciml frctions Use mentl or written strtegy of your choice to solve these problems: b.7 9. We cn lso use our mentl_ strtegies when subtrcting_ deciml frctions. c In 9 Jesse Owens broke the long jump record with lep of.0 m. His record stood for yers until fellow Americn, Rlph Boston lept. m. Wht did he bet Jesse s record by? d The 00 m sprint record is held by Jmicn Usin Bolt, with time of 9.9 sec. Asf Powell nered tht record month lter, with time of 9.7 sec. Wht is the difference between their times? How much do you think Powell wishes he hd mnged to go just td fster? Belle s netbll tem mesured their heights nd entered them _ on the chrt. Wht is the difference in heights between: Suzy nd Lucy? Belle s Beuties Suzy. m Ti.7 m Grce.7 m b Ti nd Ntsh? Mriett. m Mdison. m Lucy. m Belle. m c Nin nd Belle? Ntsh. m Donn. m Nin. m d The tllest nd shortest girl? Copyright P Lerning
9 You cut, I choose solve Getting redy You nd your friend hve been sked to ttend te prty. Your host, Mr Htter, hs mde chocolte clock cke for the festivities, but clerly he got little mixed up with his numbers. It must hve been ll those pre-prty nerves, or quite possibly the punch. Wht to do Anywy, he hs sked you to cut the cke into pieces so tht ech of you gets piece with the numbers dding to the sme totl. How do you do it? Show your cuts on the clock cke below. Ech piece totls Work out wht frction of the cke ech of you receive. I should wrn you, Mr Htter wnts the biggest piece. I receive my friend receives nd Mr Htter receives Copyright P Lerning
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