GRADE 4. Fractions WORKSHEETS

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1 GRADE Frtions WORKSHEETS

2 Types of frtions equivlent frtions This frtion wll shows frtions tht re equivlent. Equivlent frtions re frtions tht re the sme mount. How mny equivlent frtions n you fin? Lel eh row of the frtion wll n olor eh strip ifferent olor. The first one hs een one for you. whole hlves Mth the frtions in the top row with the equivlent frtions unerneth y rwing line to onnet them. The first one hs een one for you. 0 0 Complete these equivlent frtion moels y shing n writing the equivlent frtion: 0 Copyright P Lerning Gre FRACTIONS.NF.

3 Types of frtions equivlent frtions Rewrite these frtions in orer from smllest to lrgest: Here is frtion wll tht hs een roken up into piees. Lel the piees: Mth the equivlent frtions to fin out n interesting niml ft: Q: Wht is something tht rt n o for longer thn mel? First wor: A T L S 0 Seon wor: U H 0 I 0 W T O Thir wor: A 0 T E R 0 W 0 0 Copyright P Lerning Gre FRACTIONS.NF.

4 Types of frtions equivlent frtions 7 She n lel these moels to show equivlent frtions: Write either T for true or F for flse uner eh sttement: > 0 0 < < 0 > 7 0 e < f 0 < Copyright P Lerning Gre FRACTIONS.NF.,.NF.

5 Types of frtions fifths n tenths These frtion strips show fifths n tenths Lel these frtions: Show fifths n tenths on these shpes: 0 0 e 0 0 f 0 Cirle the orret mounts shown in these frtions: 0 Copyright P Lerning Gre FRACTIONS.NF.

6 Types of frtions fifths n tenths Complete this equivlent frtion numer line. The first two hve een one for you Equivlent mens they re the sme mount. 0 Ple these frtions on the numer line:,, 0, 7 0, 0 Color these shpes oring to the iretions. The equivlent frtion line ove will help you. Color lue n 0 re n leve the rest lnk. Color 0 ornge n green n leve the rest lnk. Color lue n 0 the rest lnk. re n leve If shpe is ivie into fifths, I nee to hnge the frtions to fifths. If shpe is ivie into tenths, I nee to hnge the frtions to tenths. Copyright P Lerning Gre FRACTIONS.NF.

7 Types of frtions mixe numers A mixe numer is whole numer n frtion. For exmple, sy we onnete 0 multi-link ues n nme this s whole. If we then pike up more multi-link ues we hve nother tenths. 0 0 In eh of these prolems, 0 multi-link ues represent whole. Write the mixe numer for eh set of multi-link ues. Write the mixe numers tht these frtion moels re showing: Copyright P Lerning Gre FRACTIONS.NF..B

8 Types of frtions mixe numers She these frtion moels to show the mixe numers: 0 e f Complete these numer lines: Copyright P Lerning Gre FRACTIONS.NF..B 7

9 Frtions ompring n orering frtions Compring n orering frtions with like enomintors is simple proess: When there re ifferent enomintors we nee to renme the frtions so they hve the sme enomintors. This lets us ompre pples with pples. Whih is lrger? or We know tht is equivlent to so is lrger thn Orer these frtions: Hmm I h etter mke the mixe numers into improper frtions s well. Tht will mke them esier to ompre. Renme frtion in eh group so tht you n ompre them more esily. Cirle the lrgest frtion: 0 Write or rw frtion on the left tht woul result in the sle looking like this: Rememer, with equivlent frtions, we think out wht we i to get from one to the other: Copyright P Lerning Gre FRACTIONS.NF.

10 Frtions renming n orering frtions Sometimes we hve to orer n ompre frtions with unrelte enomintors, suh s,, n. To o this, we hve to fin one ommon enomintor we n onvert ll the frtions to. You hve kes for lss prty. One hs een ut into hlves n one into thirs. The prolem is tht you wnt eh slie to e n equl frtion of the kes. Continue utting the kes so tht eh ke hs the sme numer of fir slies: If you h one of these new slies, wht frtion of the ke woul you reeive? Tht is n exmple of how we renme frtions. We fin wy to re-ivie the wholes so tht they hve the sme numer of prts. To o this effiiently we fin the smllest shre multiple. This is then lle the Lowest Common Denomintor (LCD): The multiples of re,,,, The multiples of re,, 9,,, is the LCD so we onvert oth frtions to sixths: Renme these frtions y first fining the shre LCD n then onverting the frtions. Use the multiplition tle on the right to help you fin the LCD: Copyright P Lerning Gre FRACTIONS.NF. 9

11 Gre FRACTIONS.NF. 0 Copyright P Lerning For eh frtion write lrger frtion elow. The new frtion must hve ifferent enomintor. It n hve ifferent numertor. Look t eh group of frtions. Preit whih you think is the lrgest n irle your preition. Now, renme the frtions in the work spe elow so tht eh frtion in the group hs the sme enomintor. Use ifferent olor to irle the lrgest frtion. Are there ny surprises? This time, renme the frtions n irle the lrgest. Unerline the smllest. Frtions renming n orering frtions 0 If you n o this, you re whiz! This is rel extension mth. 9

12 Clulting ing n sutrting frtions How o we or sutrt frtions? Look t this exmple: We h movie mrthon this weeken. On Stury, we wthe movies for 7 hours n on Suny we wthe for hours. How mny hours i we spen wthing movies in totl? 7 + First we the whole numers: 7 +. Then we the frtions: + Then we the two nswers together: + We use the sme proess to sutrt frtions. Solve these prolems: e f 7 Express these s frtion sentenes. Solve them: Srh n Rhel go to slt wter tffy stn. Srh uys oxes of strwerry tffy n Rhel uys oxes of mixe tffy. How muh o they uy in totl? You hve oxes of hooltes n you et oxes. How mny oxes o you hve left? Before Worl Mth Dy, Akhil prties Live Mthletis for hours on Mony n hours on Tuesy. How mny hours of prtie hs he put in ltogether? Mko hs five n hlf shelves of ol sports equipment. His mother mkes him tke some of it to the lol thrift store. This leves him with full shelves. How muh hs he tken to the store? Copyright P Lerning Gre FRACTIONS.NF.

13 Clulting ing n sutrting frtions Look t this prolem: Our nswer is 0, whih is little onfusing. is the sme s. So let s the to our nswer of 0. Our nswer is now. Solve these prolems, onverting ny improper frtions in your nswer to mixe numers. You n use the moels to help you with the renming: + whih is equivlent to + whih is equivlent to 7 + whih is equivlent to + whih is equivlent to Sometimes we lso ome ross more omplite sutrtion prolems. Look t. We n t tke wy from, so we will nee to renme. is the sme s. Use renming to solve these prolems. Convert your nswers to mixe numers. You n rw moels if tht helps: Copyright P Lerning Gre FRACTIONS.NF.

14 Clulting ing n sutrting frtions Sometimes we nee to n sutrt frtions tht hve ifferent ut relte enomintors. How o we +? One wy is to use frtion strips to fin equivlent frtions. We n see tht is the sme s Use the frtion strips ove to help you or sutrt the like frtions. Rewrite the frtions in ol: e f g Br te of g of hips. Jen te ltogether? of g of hips. How muh i they et Copyright P Lerning Gre FRACTIONS.NF.

15 Working with frtions frtion wor prolems Jess spent hlf of her llowne on mgzine. If she gets $0, how muh ws the mgzine? If one qurter of pkge of nies is nies, how mny nies re there in the whole pkge? Mrley n Mtt shre pizz tht h een ut into piees. Mrley te pizz n Mtt te. How mny piees were left? of the Amy me upkes. She ie of them pink, of them lue, n left the rest plin. How mny plin upkes were there? Josie orere two pizzs ut into eighths. If he te of pizz, how muh ws left? Copyright P Lerning Gre FRACTIONS.NF..D

16 Clulting multiplying frtions y whole numers We n use repete ition to multiply frtions y whole numers. sets of two eighths is + + Use repete ition to multiply these frtions. Show eh of the steps: + + Try these. Convert your nswers to whole numers: Sm thinks tht is the sme s. Is he right? Show how you know: Sm s helpe him with his homework. Here is wht his i. Is he right? If not, explin to him where he went wrong Copyright P Lerning Gre FRACTIONS.NF.

17 Clulting multiplying frtions y whole numers There is nother wy to multiply frtions y whole numers. Look t. We hve sets of three fifths. We n express this s 9 We on t multiply the fifths euse these on t hnge we still hve fifths. Multiply these frtions y whole numers. Express the nswers s improper frtions: e f Our nswers re ll improper frtions. How o we onvert these to mixe numers? Look t 9. This is nine qurters. To hnge this to mixe numer, we ivie the numertor y the enomintor: 9 with qurter left over. 9 is the sme s. Wrm up with these prolems. There will e no reminers. 9 7 Now tke your nswers from Question n write them here. Divie the numertors y the enomintors to fin their mixe numer equivlents: e f Copyright P Lerning Gre FRACTIONS.NF.

18 Types of frtions tenths s eimls Frtions n e written s eimls. This row of multi-link ues shows 0 tenths: 0 n e shown like this: Ones Tenths 0 s eiml is 0. 0 The eiml point seprtes the whole numer from the eiml. We woul write or 0 0 s.0 Complete this numer line showing equivlent tenths n eimls: If row of 0 multi-link ues is whole, then lel the other rows with frtion n eiml: Frtion Deiml Copyright P Lerning Gre FRACTIONS.NF. 7

19 Frtions n eimls writing tenths s eimls Tenths re written s eimls like this: She the frtion strips so eh one mthes the frtion or the eiml: Orer eh set of frtions n eimls from smllest to lrgest: 0., 0., 0, , 0.,.0, 0 Show the ple vlue of these eimls y writing them in the tle: Ones Tenths Ones Tenths The eiml point signls the ple vlue of numers smller thn. This numer is n 0 or n 0.. Connet the mthing frtions n eimls: Copyright P Lerning Gre FRACTIONS.NF.

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