Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Simplification

In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet on simplifications has different types of questions that can be practiced by the students to get more ideas to simplify the expressions.

A. Simplify each of the following: 

1. 
3 - (5 – 6 ÷ 3) 


2. – 25 + 14 ÷ (5 - 3) 

3. 25 – \(\frac{1}{2}\){5 + 4 - (3 + 2 – 1 + 3)} 

4. 27 - [38 - {46 - (15 - 13 - 2)}] 

5. 36 - [18 - {14 - (15 – 4 ÷ 2 x 2)}] 

6. 45 - [38 - {60 ÷ 3 – (6 - 9 ÷ 3) ÷ 3}]

7. 23 - [23 - {23 - (23 - 23 - 23)}] 

8. 2550 - [51 0 - {270 - (90 - 80 + 70)}] 

9. 4 + \(\frac{1}{5}\) [{-10 x (25 - 13 - 3)} ÷ (-5)] 

10. 22 - \(\frac{1}{4}\) {-5 - (- 48) ÷ (-16)} 

11. 63 - (-3) {-2 - 8 - 3} ÷ 3{5 + (-2) (-1)} 

12. [29 - (-2) {6 - (7 - 3)}] ÷ [3 x {5 + (-3) x (-2)}] 



B. Using brackets, write a mathematical expression for each of the following: 


1. Nine multiplied by the sum of two and five.

2. Twelve divided by the sum of one and three.

3. Twenty divided by the difference of seven and two.

4. Eight subtracted from the product of two and three.

5. Forty divided by one more than the sum of nine and ten.

6. Two multiplied by one less than the difference of nineteen and six.

C. Simplify the following fractions using BODMAS/PEMDAS Rules:

1. (\(\frac{1}{9}\) + \(\frac{1}{2}\)) × 2\(\frac{3}{8}\) + 5\(\frac{1}{9}\)

2. (\(\frac{2}{5}\) + \(\frac{3}{8}\)) ÷ \(\frac{2}{3}\) × 2 - 1\(\frac{1}{9}\)

3. 14 + [5 {4 + (\(\frac{2}{7}\) of 63)}]

4. 49 [6 {5 (25 × \(\frac{3}{5}\))}]

5. (8 × 6) ÷ 2 + 30 ÷ (5 × 2) - 3

6. \(\frac{5}{6}\) + (\(\frac{3}{4}\) × \(\frac{5}{9}\)) ÷ \(\frac{1}{12}\) - \(\frac{3}{4}\)

7. (14 × 9) ÷ 3 + 12 ÷ (4 × 2) - 2

8. (25 × 6) × 2 - 16 ÷ (9 × 3) - 3

9. \(\frac{5}{8}\) × of [8 + {4 (24 + \(\overline{9 - 3}\))}] ÷ 4

10. \(\frac{3}{5}\) × [\(\frac{4}{3}\) + [6 (17 - \(\overline{9 - 4}\))]

11. 9 + [7 {2 + (\(\frac{3}{4}\) of 48)}] ÷ \(\frac{2}{3}\)

12. 4 [54 ÷ {4 + (12 - 10)}]

13. 50 ÷ [4 + {8 - (16 × \(\frac{1}{4}\))}] + 8

14. 45 + [\(\frac{1}{15}\) × {4 (25 ÷ \(\frac{1}{5}\))}]

15. 4\(\frac{4}{5}\) + (\(\frac{4}{5}\) - \(\overline{\frac{1}{4} - \frac{1}{5}}\)) of 20

16. \(\frac{2}{15}\) + {3 (\(\frac{3}{4}\) of 8)} ÷ 3

17. 7\(\frac{8}{9}\) - (\(\frac{4}{9}\) - \(\overline{\frac{1}{6} - \frac{1}{9}}\)) of 2\(\frac{1}{4}\)

18. \(\frac{3}{15}\) + (\(\frac{7}{30}\) ÷ \(\frac{1}{15}\)) + 3(6 + 3)

19. \(\frac{3}{16}\) + (\(\frac{5}{8}\) ÷ \(\frac{1}{4}\)) + 3(6 - 4)

20. \(\frac{2}{3}\) × of (\(\frac{4}{9}\) - \(\frac{1}{18}\)) ÷ 3 \(\frac{4}{27}\)

21. \(\frac{3}{4}\) × (\(\frac{4}{9}\) - \(\frac{1}{4}\)) ÷ \(\frac{5}{36}\)

22. 4\(\frac{1}{3}\) × 4\(\frac{1}{2}\) ÷ (4\(\frac{1}{2}\) + 2\(\frac{1}{4}\))

23. \(\frac{1}{3}\) of 2\(\frac{13}{33}\) × 3\(\frac{1}{4}\) ÷ (\(\frac{1}{9}\) - \(\frac{1}{18}\)) + \(\frac{2}{9}\)

24. \(\frac{2}{9}\) of 2\(\frac{1}{3}\) × 3\(\frac{1}{3}\) ÷ (\(\frac{1}{9}\) + \(\frac{2}{3}\))

25. 2\(\frac{1}{3}\) + {4\(\frac{3}{4}\) × (1\(\frac{1}{3}\) - \(\frac{2}{3}\))]

26. 24 + [9 - {2 + (2 × \(\frac{3}{8}\))}]

27. 4\(\frac{1}{7}\) + {3\(\frac{3}{7}\) ÷ (2\(\frac{4}{7}\) - \(\frac{1}{7}\))}

28. 18 + [3 - {1 + (4 × \(\frac{3}{16}\))}]

29. 95 - [4\(\frac{1}{2}\) + {4 (7 + 5 - 3\(\frac{1}{2}\))}]

30. 40 + [3 {2 (20 ÷ 3\(\frac{1}{3}\))}]

31. \(\frac{1}{3}\) + [3\(\frac{1}{3}\) + {4 (18 - 9\(\frac{1}{3}\))}]

32. 32\(\frac{1}{2}\) + [4 {2 (11 × 9\(\frac{1}{3}\))}]

33. 35 + [3\(\frac{1}{4}\) of {6 - 3 (9 - \(\overline{6 + 3}\))}]

34. 19 + [6 {3 + (\(\frac{5}{16}\) of 64)}]

35. 18 + [5\(\frac{1}{5}\) of {7 - 2(8 - \(\overline{4 + 2}\))}]

36. 24 + [6 {4 + (\(\frac{3}{8}\) × 56)}]

37. \(\frac{4}{15}\) + {3 (\(\frac{4}{5}\) of 25)} ÷ \(\frac{20}{23}\)

38. 1\(\frac{1}{2}\) {3\(\frac{9}{10}\) - (4\(\frac{1}{2}\) + - \(\overline{5\frac{1}{5} ÷ 2\frac{3}{5}}\))}

39. 3\(\frac{3}{8}\) + {4 (\(\frac{1}{8}\) of 32)} ÷ \(\frac{1}{3}\)

40. \(\frac{3}{7}\) + {4 (\(\frac{2}{5}\) × 25)} ÷ \(\frac{1}{10}\)

41. 1\(\frac{1}{5}\) × (2\(\frac{1}{12}\) ÷ \(\frac{5}{12}\)) + 3 (\(\frac{1}{12}\) - \(\frac{1}{15}\))

42. (3\(\frac{2}{3}\) ÷ 1\(\frac{2}{3}\)) + (\(\frac{1}{3}\) × \(\frac{1}{6}\)) + (\(\overline{1\frac{1}{3} - \frac{1}{3}}\))


Students can check the answers of the worksheet on simplification given below to make sure that the answers are correct.

Worksheet on Simplification

Worksheet on Simplification Answer:

A. 1. 0

2. -18

3. 24

4. 35

5. 21

6. 26

7. 46

8. 2370

9. 10

10. 24

11. 62

12. 1



B. 1. 9(2 + 5)

2. 12 ÷ (1 + 3)

3. 20 ÷ (7 - 2)

4. 2 x 3 - 8

5. 40 ÷ {1 + (9 + 10)}

6. 2 x {(19 - 6) - 1}


C. 1. 6(\(\frac{9}{16}\)

2. 1(\(\frac{77}{360}\)

3. 124

4. 22050

5. 24

6. 5\(\frac{1}{12}\)

7. 41\(\frac{1}{2}\)

8. 296\(\frac{11}{27}\)

9. 20

10. 44

11. 408

12. 36

13. 14\(\frac{1}{4}\)

14. 78\(\frac{1}{3}\)

15. 19\(\frac{4}{5}\)

16. 6\(\frac{2}{15}\)

17. 7\(\frac{1}{72}\)

18. 30\(\frac{7}{10}\)

19. 8\(\frac{11}{16}\)

20. \(\frac{7}{28}\)

21. 1\(\frac{1}{20}\)

22. 2\(\frac{8}{9}\)

23. 46\(\frac{179}{198}\)

24. 2\(\frac{2}{9}\)

25. 5\(\frac{1}{2}\)

26. 30\(\frac{1}{4}\)

27. 5\(\frac{66}{119}\)

28. 19\(\frac{1}{4}\)

29. 56\(\frac{1}{2}\)

30. 76

31. 38\(\frac{1}{3}\)

32. 853\(\frac{5}{6}\)

33. 54\(\frac{1}{2}\)

34. 157

35. 33\(\frac{3}{5}\)

36. 174

37. 69\(\frac{4}{15}\)

38. 2\(\frac{1}{10}\)

39. 51\(\frac{3}{8}\)

40. 400\(\frac{3}{7}\)

41. 6\(\frac{1}{20}\)

42. 3\(\frac{23}{90}\)



If students have any queries regarding the questions given in the worksheet on simplification, please fill-up the bellow comment box so that we can help you.

However, suggestions for further improvement, from all quarters would be greatly appreciated.

You might like these

 Numbers - Integers

Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification


 Numbers - Worksheets

Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Worksheet on Simplification




7th Grade Math Problems

Math Homework Sheets 

From Worksheet on Simplification to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Conversion of Improper Fractions into Mixed Fractions |Solved Examples

    May 12, 25 04:52 AM

    Conversion of Improper Fractions into Mixed Fractions
    In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient…

    Read More

  2. Multiplication Table of 6 | Read and Write the Table of 6 | Six Table

    May 12, 25 02:23 AM

    Multiplication Table of Six
    Repeated addition by 6’s means the multiplication table of 6. (i) When 6 bunches each having six bananas each. By repeated addition we can show 6 + 6 + 6 + 6 + 6 + 6 = 36 Then, six 6 times or 6 sixes

    Read More

  3. Word Problems on Decimals | Decimal Word Problems | Decimal Home Work

    May 11, 25 01:22 PM

    Word problems on decimals are solved here step by step. The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1

    Read More

  4. Worksheet on Dividing Decimals | Huge Number of Decimal Division Prob

    May 11, 25 11:52 AM

    Worksheet on Dividing Decimals
    Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the student…

    Read More

  5. Worksheet on Multiplying Decimals | Product of the Two Decimal Numbers

    May 11, 25 11:18 AM

    Practice the math questions given in the worksheet on multiplying decimals. Multiply the decimals to find the product of the two decimal numbers, same like multiplying whole numbers.

    Read More