This worksheet on simplification of fractions is based on the concept of ‘BODMAS’. In simplification of fraction we can find that we are suppose to carry out multiple basic operation in each sum and that has to be done following the ‘BODMAS’ rule. A single sum can contain both division and multiplication and addition as well and we have to carry out each of the operation according to ‘BODMAS’. Moreover, a single sum can also involve only addition and subtraction which will also be done with the help of ‘BODMAS’ rule. Whatever be the operations given in the sum be it addition, subtraction, multiplication or division we have to carry out those operation using ‘BODMAS’. There can be some operations that are given in brackets. The part of sum in bracket has to be done first. In ‘BODMAS’ there is one component ‘of ‘ which implies multiplication. The places where we will find ‘of‘should be replaced by the operation multiplication.

For recap and as a hint the full form of ‘BODMAS’

B = Brackets

O = Of

D = Division

M= Multiplication

A = Addition

S = Subtraction

Hence, we have to first carry out brackets, then ‘of’ (it implies for multiplication), then division, multiplication, addition and then followed by subtraction. If this sequence is not followed while doing these simplifications the answer will not be correct.

Here are few problems on simplification of fractions for practice:

Simplify the following using the rule of ‘BODMAS’

**1.** (21/4 + 52/4) × (6/7 ÷ 12/14)

Answer: 31/4

**2. **80 – 17/4 × 2 + 15 ÷ 15/7

Answer:

78 1/2

**3.** 127/4 + 62/3 × 24/6

Answer: 39 7/12

**4.** 73/4 ÷ 62/5 + 8/3

Answer: 3 7/24

**5. **10 7/5 × 25/95 ÷ 10/3 ̶ 2/3

Answer: 7/30

**6.** (2/3 + 5/12) × 1

Answer: 1

**7.** 58/6 × 0 + 1

Answer: 1

**8.** 8/7 ÷ 48/49 + 2/3

Answer: 1 5/6

**9.** 5/6 ̶ 7/8 + 15/2

Answer: 179/24

**10.** 9/8 of 72 + 6/7 of 343

Answer: 375

**11.** 56 × 7/8 + 112 × 0 – 1

Answer: 48

**12.** 1/7 of 49 + 125 ÷ 25

Answer: 12

**13.** 1/5 × 5 + 0 × 7 × 3

Answer: 1

**14.** 3/4 × 16/7 ×7/21 ÷ 2/3

Answer: 6/7

**15.** (5/6 + 7/6) × 1

Answer: 2

**15. **5/9 × 0 + 3/4

Answer: 3/4

**17. **(8/6 + 7/9) ̶ 1/2

Answer: 1 13/18

**18.** (8/8 ̶ 1/3) + 2/7

Answer: 20/21

**19.** (5/16 + 7/16) × 32/12 × 0

Answer: 3/4

**20.** (8/3 + 7/9) ÷ 62/27

Solution:

3/2

**21.** 0 × 7/6 + 3/25 × 0

Answer: 0

**22.** 1 × 15/13 + 2 × 6/7

Answer: 2 79/91

**23.** 17/51 × 3/4 + 2/7

Answer: 15/28

Therefore, this whole worksheet on simplification aimed to provide all types of sum for helping students in understanding simplification easily.

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