Worksheet on Simplification of Fractions
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.
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10
The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10
Divisible by 9 | Test of Divisibility by 9 |Rules of Divisibility by 9
This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9 For eg: Check whether 729 is divisible by 9 or not? Sum of the digits = 7 + 2 + 9 = 18 Now 18 is divisible by 9 hence, 729 is also divisible by 9 Here are few examples
Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8
The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.
Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7
This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.
Divisible by 6 | Test of divisibility by 6 |Rules of Divisibility by 6
This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is
Divisible by 5 | Test of divisibility by 5 |Rules of Divisibility by 5
This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible
Divisible by 4 | Rules of Divisibility by 4|Divisibility Rules & Tests
This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.
Divisible by 3 | Rules of Divisibility by 3|Divisibility Rules & Tests
This topic is on the divisibility rule of 3 and few examples based on the topic. If the sum of the digits is divisible by 3 then the whole number is divisible by 3. For example 519 The sum of the digits = 5 + 1 + 9 = 15 15 is divisible by 3 hence 519 is also divisible by 3
Divisible by 2 | Divisibility Rule of 2 | Test of Divisibility by 2
This topic would deal with the divisibility rule of 2 and few sums on divisibility rule of 2. Numbers that are ending with 0, 2, 4, 6, and 8 are divisible by 2. That means numbers ending with 0 or multiples of 2 are divisible by 2. We know that numbers which are multiples of
Properties of Divisibility | Divisibility Property |Divisibility Rules
This topic deals with the properties of divisibility which will help us in doing our multiplication and division easy. These rules will help us to determine quickly the factors of certain number, the divisibility criteria of certain number and helps in overall strengthening
Worksheet on Multiples and Factors | List the First Five Multiples
1. List the first five multiples of the following numbers: 2. Choose the numbers that are factors of 24. 3. 3. Choose the numbers that are multiples of 15. 4. Choose the numbers which are multiple of 3 as well as factor of 36
Divisibility Rules | Divisibility Rules from 2 to 12|Divisibility Test
This topic would deal with divisibility rules. There are certain divisibility rules of certain numbers which help in determining that by which number the given number is divisible. Divisibility rules are an effective tool for determining with which numbers a given number
From Worksheet on Simplification of Fractions to HOME PAGE
New! Comments
Have your say about what you just read! Leave me a comment in the box below.