Skills VI: Grade 4 And 5 Math Remedial Workbook

Transcription

Skills VIExercise BookTopics:Comparing fractionsSimplifying fractionsAdding and subtracting fractionsMixed numbers and impropersFractions of setsConversion in decimals

This workbook is all about fractions and suited for grade 4/5students. The practice material covers:- Compare fractions with different denominators thatare multiples of each other- Simplifying fractions (reduce to lowest terms)- Adding and subtracting fractions with differentdenominators that are multiples of each other- Conversion of mixed numbers in improper fractionsand vice versa- Conversion of fractions into decimals and vice versa(whole decimal numbers/ no rounding off )This booklet is excellent for any student: for those who arestruggling with fractions, and those who feel the need topractice more. You can use it in combination with ourworksheets!Math in EnglishCopyright: Math in English

Comparing FractionsCompare the following fractions by using , or ight: Math in EnglishPage 1

Comparing FractionsCompare the following fractions by using , or ight: Math in EnglishPage 2

Comparing FractionsCompare the following fractions by using , or ight: Math in EnglishPage 3

Simplifying FractionsSimplify the following fractions (lowest terms)26 210 46 48 39 214 212 410 69 89 68 1012 312 1040 610 315 220 1015 918 214 525 1224 216 222 318 714 1030 721 824 424 230 610 728 47 Copyright: Math in EnglishPage 4

Simplifying FractionsSimplify the following fractions (lowest terms)36 410 26 68 69 414 412 610 39 47 48 812 612 2040 210 615 420 1215 618 614 515 1624 816 422 1518 814 2030 321 820 824 330 620 228 79 Copyright: Math in EnglishPage 5

Addition and subtraction of fractionsCalculate and show your answers in the lowest terms11 6621 3921 4811 5511 6 1211 5 1012 3611 6614 31214 4811 2615 42032 5 1011 3 912 2 831 6631 61233 8822 8411 4213 8824 20 1040 6 611 6 331 12451 8813 510Copyright: Math in EnglishPage 6

Addition and subtraction of fractionsCalculate and show your answers in the lowest terms5 - 1 824 - 6 366 - 1 634 - 1 623 - 1 364 - 1 842 - 2 483 - 1 489 - 2 631 - 1 261 - 1 481 - 1 364 - 1 5105 - 1 661 - 1 283 - 4 5106 - 1 933 - 1 633 - 2 364 - 4 365 - 1 664 - 1 635 - 2 843 - 1 422 - 1 361 - 1 244 - 2 510Copyright: Math in EnglishPage 7

Addition and subtraction of fractionsCalculate and show your answers in the lowest terms21 6611 3911 4821 5522 6 1213 5 1011 3621 6612 31211 4812 2614 52022 5 1021 3 911 2 811 6632 61231 8812 8411 6215 8844 20 1010 6 611 3 361 12431 8821 510Copyright: Math in EnglishPage 8

Mixed numbers and improper fractionsConvert these mixed numbers into improper fractions.2 16 63 13 31 13 35 78 84 26 62 27 75 25 56 16 61 29 92 25 52 18 83 25 55 34 44 18 81 29 92 24 43 26 65 23 32 13 35 26 63 18 81 19 99 25 57 23 35 13 34 27 72 27 71 27 71 18 84 16 65 24 41 24 42 12 23 47 7Copyright: Math in EnglishPage 9

Mixed numbers and improper fractionsConvert these mixed numbers into improper fractions.2 15 3 14 1 12 5 77 4 25 2 26 5 24 6 15 1 39 2 35 2 16 3 15 5 33 4 28 1 28 2 25 3 25 5 25 2 14 5 23 3 28 1 29 9 24 7 23 5 13 4 28 2 26 1 27 1 17 4 26 5 26 1 23 3 12 3 46 Copyright: Math in EnglishPage 10

Improper fractions and mixed numbersConvert these improper fractions into mixed numbers136 103 43 478 266 167 275 376 119 125 178 175 234 338 119 104 206 173 73 326 258 109 475 233 163 307 167 97 98 256 224 64 52 257 Copyright: Math in EnglishPage 11

Improper fractions and mixed numbersConvert these improper fractions into mixed numbers.145 134 65 427 225 146 224 315 108 146 157 144 285 297 118 146 237 122 52 224 196 119 384 162 214 184 104 75 87 215 326 53 32 226 Copyright: Math in EnglishPage 12

Fractions of a setCalculate these fractions of sets1of 150 21of360 1of31of480 75 1of 100 21of 150 31of21of 180 21of 104 21of 150 51of390 1of 123 31of 120 61of 150 101of 170 21of 200 41of 110 21of 130 21of 160 41of21of 120 41of260 1of 180 31of31of 140 71of 200 41of 104 21of990 1of 180 61of 100 51of 160 81of 120 31of 210 790 Copyright: Math in English70 99 Page 13

Fractions of a setCalculate these fractions of sets1of 100 21of 120 21of 150 31of 140 21of 180 21of 160 21of 150 51of 160 41of 124 21of 120 51of 180 31of 180 41of 200 41of 320 41of 297 31of 110 21of 210 31of 176 21of 220 51of 120 61of 264 31of 140 71of 160 81of 198 21of 270 91of 250 51of 102 21of 130 21of 280 71of 270 31of 180 91of 240 61of 190 2Copyright: Math in EnglishPage 14

Fractions of a setWhat fraction of each set is shaded?Copyright: Math in EnglishPage 15

Fractions of a setWhat fraction of each set is not shaded?Copyright: Math in EnglishPage 16

Conversion of Fractions into DecimalsConvert these fractions into decimals1 21 101 41 1002 202 10010 1001 550 1004 1012 1003 103 47 103 52 437 1006 101 501 251 209 102 502 2510 205 2599 1004 1065 1009 252 2007 5013 10010 10Copyright: Math in EnglishPage 17

Conversion of Fractions into DecimalsConvert these fractions into decimals4 86 206 851 1009 207 10011 1003 640 1009 1825 1003 201 44 104 52 844 1005 109 505 253 208 103 504 2515 2020 2591 1001 1015 10024 254 2008 5015 10015 15Copyright: Math in EnglishPage 18

Conversion of Decimals into FractionsConvert these decimals into fractions (lowest terms!)0.5 0.3 0.45 0.01 0.05 0.06 0.1 0.2 0.35 0.8 0.12 0.7 0.75 0.21 0.6 0.25 0.37 0.85 0.02 0.08 0.05 0.09 0.04 0.16 0.15 0.22 0.99 0.14 0.65 0.36 0.02 0.28 0.13 1.1 Copyright: Math in EnglishPage 19

Crossword PuzzleUse your skills and solve this 10.12.13.16.1.2.3.6.7.9.10.11.12.14.15.17.half of 50seven-tenths of 50three-fourths of 28two-fifths of 30four-eights of 40one-third of 96one-fourth of 200four-fifths of 30Copyright: Math in Englishthree-fourths of 20three-eighths of 64one-fifth of 125one-sixth of 108three-sevenths of 49four-fifths of 25three-ninths of 81two-fifths of 25six-twentieths of 100one-third of 45four-ninths of 90three-fifths of 20Page 20

Comparing FractionsComparing FractionsCompare the following fractions by using , or .Compare the following fractions by using , or .223 9224 8326 2244 8112 4116 2123 9216 3218 4253 9316 2225 10337 6113 9235 10227 6123 9224 5125 10326 3114 5245 10126 3329 3619 3293 9429 3419 3162 6103 6154 8226 3109 3158 8326 3143 6283 924133 6153 934213 3334 8214 2112 3428 42 5Page 1Copyright: Math in EnglishPage 2Copyright: Math in EnglishSimplifying FractionsComparing FractionsSimplify the following fractions (lowest terms)Compare the following fractions by using , or .214 4316 2335 6122 8216 2218 4253 9426 3475 10335 4383 9114 5365 10536 3529 3628 4293 9207 6254 8228 7123 2283 934Copyright: Math in English3- 53 5Page 326 13210 1546 2348 1239 13214 17212 16410 2569 2389 8968 341012 56312 141040 14610 35315 15220 1101015 23918 12214 17525 151224 12216 18222 111318 16714 121030 13721 13824 13424 16230 115610 35728 1447 47Copyright: Math in EnglishPage 4

Simplifying FractionsCalculate and show your answers in the lowest termsSimplify the following fractions (lowest terms)36 12410 2526 1368 3469 23414 27412 13610 3539 1347 12812 23612 12204048210 15615 25420 151215 47 12 45618 13614 37515 151624 23816 12422 2111518 56814 472030 23321 17820 25824 13330 110620 103228 14179 79Page 5Copyright: Math in EnglishAddition and subtraction of fractions11 136 621 793 921 854 811 525 511 416 1211 35 10 1012 323 611 316 614 233 1214 434 811 322 615 124 2032 545 1011 493 912 432 831 236 6317 126 1233 438 822 438 411 434 213 128 824120 10 24026 6 31116 3 231 1212 451 438 813 125 10Page 6Copyright: Math in EnglishAddition and subtraction of fractionsAddition and subtraction of fractionsCalculate and show your answers in the lowest termsCalculate and show your answers in the lowest terms5 - 1 81824 - 6 313621 216 611 493 96 - 1 32634 - 1 616211 834 821 535 53 - 1 65364 - 1 418422 216 1213 125 102 - 2 41483 - 1 58489 - 2 236311 213 621 216 612 123 121 - 1 13261 - 1 18481 - 1 163611 834 812 652 614 255 204 - 17 105105 - 1 23661 - 1 382822 535 1021 973 911 852 83 - 4 515106 - 1 13933 - 1 166311 316 632 326 1231 218 83 - 2 23364 - 4 23365 - 1 236612 858 411 326 215 348 84 - 1 13635 - 2 81843 - 1 144244320 10 51016 6 61123 3 32 - 1 12361 - 1 14244 - 2 3551061 3412 431 218 821 125 10Copyright: Math in EnglishPage 7Copyright: Math in EnglishPage 8

Mixed numbers and improper fractionsMixed numbers and improper fractionsConvert these mixed numbers into improper fractions.Convert these mixed numbers into improper fractions.2 16 1363 13 1031 13 432 15 1153 14 1341 12 325 78 4784 26 2662 27 1675 77 4274 25 2252 26 1465 25 2756 16 3761 29 1192 25 1255 24 2246 15 3151 39 1292 35 1352 18 1783 25 1755 34 2344 18 3382 16 1363 15 1655 33 1834 28 3481 29 1192 24 1043 26 2065 23 1731 28 1082 25 1253 25 1755 25 2752 13 735 26 3263 18 2581 19 1092 14 945 23 1733 28 2681 29 1199 25 4757 23 2335 13 1634 27 3079 24 3847 23 2335 13 1634 28 3482 27 1671 27 971 18 984 16 2562 26 1461 27 971 17 874 26 2665 24 2241 24 642 12 523 47 2575 26 3261 23 543 12 723 46 226Page 9Copyright: Math in EnglishImproper fractions and mixed numbersImproper fractions and mixed numbersConvert these improper fractions into mixed numbers.Convert these improper fractions into mixed numbers136 2 16103 3 1343 1 13478 5 78266 4 26167 2 27275 5 25376 6 16119 1 29125 2 25178 2 18175 3 25234 5 34338 4 18119 1 29104 2 24206 3 26173 5 2373 2 13326 5 26258 3 18109 1 19475 9 25233 7 23163 5 13307 4 27167 2 2797 1 2798 1 18256 4 16224 5 2464 1 2452 2 12257 3 47Copyright: Math in EnglishPage 10Copyright: Math in EnglishPage 11145 2 45134 3 1465 1 15427 5 77225 4 25146 2 26224 5 24315 6 15108 1 28146 2 26157 2 17144 3 24285 5 35297 4 17118 1 38146 2 26237 3 27122 5 2252 2 12224 5 24196 3 16119 1 29384 9 24162 7 22214 5 14184 4 24104 2 2475 1 2587 1 17215 4 15326 5 2653 1 2332 1 12226 3 46Copyright: Math in EnglishPage 12

Fractions of a setFractions of a setCalculate these fractions of setsCalculate these fractions of sets1of 150 7521of360 201of 100 5021of 120 6021of31of480 201of 150 5031of 140 7021of 100 5021of 150 5031of 180 9021of 160 8021of21of 180 9021of 104 5221of 150 3051of 160 4041of 124 6221of 150 3051of390 301of 123 4131of 120 2451of 180 6031of 180 4541of 120 2061of 150 15101of 170 8521of 200 5041of 320 8041of 297 9931of 200 5041of 110 5521of 130 6521of 110 5521of 210 7031of 176 8821of 160 4041of21of 120 3041of 220 4451of 120 2061of 264 8831of260 301of 180 6031of399 331of 140 2071of 160 2081of 198 9921of 140 2071of 200 5041of 104 5221of 270 3091of 250 5051of 102 5121of990 101of 180 3061of 100 2051of 130 6521of 280 4071of 270 9031of 160 2081of 120 4031of 210 3071of 180 2091of 240 4061of 190 95275 2590 4570 35Page 13Copyright: Math in EnglishFractions of a setWhat fraction of each set is shaded?Page 14Copyright: Math in EnglishFractions of a setWhat fraction of each set is not : Math in EnglishPage 15Copyright: Math in EnglishPage 16

Conversion of Fractions into DecimalsConvert these fractions into decimalsConversion of Fractions into DecimalsConvert these fractions into decimals1 0.521 0.1101 0.2544 0.586 0.3206 0.7581 0.011002 0.1202 0.0210051 0.51 1009 0.45207 0.0710010 0.11001 0.2550 0.51004 0.41011 0.111003 0.5640 0.410012 0.121003 0.3103 0.7547 0.71025 0.251003 0.15201 0.2544 0.4103 0.652 0.5437 0.371006 0.6104 0.852 0.25844 0.441005 0.5101 0.02501 0.04251 0.05209 0.9109 0.18505 0.2253 0.15208 0.8102 0.04502 0.082510 0.5205 0.2253 0.06504 0.162515 0.752020 0.82599 0.991004 0.41065 0.651009 0.362591 0.911001 0.11015 0.1510024 0.96252 0.012007 0.145013 0.1310010 1104 0.022008 0.165015 0.1510015 115Page 17Copyright: Math in EnglishPage 18Copyright: Math in EnglishCrossword PuzzleConversion of Decimals into FractionsUse your skills and solve this puzzle!Convert these decimals into fractions (lowest terms!)120.3 3100.45 92010.01 1000.05 1200.06 35010.1 100.2 150.35 7200.830.12 250.7 7100.75 340.21 21100350.25 140.37 3710010.02 500.08 2250.05 1200.09 910010.04 250.16 4250.15 3200.22 1150990.99 1000.14 7500.65 13200.36 92520.02 1000.28 7250.13 131001.111100.5 0.6 Copyright: Math in English9 0.518 0.85 451720Page 12.14.15.17.half of 50seven-tenths of 50three-fourths of 28two-fifths of 30four-eights of 40one-third of 96one-fourth of 200four-fifths of 30Copyright: Math in Englishthree-fourths of 20three-eighths of 64one-fifth of 125one-sixth of 108three-sevenths of 49four-fifths of 25three-ninths of 81two-fifths of 25six-twentieths of 100one-third of 45four-ninths of 90three-fifths of 20Page 20

Author: math in english Subject: Free math remedial exercise workbook