Numerical Expressions Involving Fractional Numbers

This subtopic would deal with numerical expressions involving fractional numbers. Likewise we learnt numerical expressions with whole numbers following the BODMAS rule in the same way we will do numerical expressions involving fractional numbers.

We know, BODMAS stands for

B implies Brackets

O implies Of

D implies Division

M implies Multiplication

A implies Addition

S implies Subtraction

Here are few examples illustrating numerical expressions involving fractional numbers:

1. 1/7 × 4/7 ÷ 1/49 + 2/7

Solution:

1/7 × 4/7 ÷ 1/49 + 2/7

= 1/7 × 4/7 × 49 + 2/7

= 1/7 × 28 + 2/7

= 4 + 2/7

= 30/7

Numerical Expressions Involving Fractional Numbers

= 4 2/7

Explanation:

First do division that is 4/7 ÷ 1/49 to get 28. Then do the multiplication that is 1/7 × 28 to get 4. And finally addition that is 4 + 2/7 to get 30/7. Then 30/7 is in improper fraction hence it should be changed into mixed fraction.


2. 5/3 + 8/9 × 9/5 + 2/3 × 0

Solution:

3/5 + 8/9 × 9/5 + 2/3 × 0

= 3/5 + 8/5 + 0

= 11/5

Numerical Expressions Involving Fractional Numbers

= 2 1/5

Explanation:

In the first step 8/9 × 9/5 to get 8/5 and 2/3 × 0 to get 0. Then we need to do the addition that is 3/5 + 8/5 to get 11/5. 11/5 is in improper fraction and hence we need to divide it to change it into mixed fraction.


3. 72 ÷ 8/9 × 64/27 ÷32/7  ̶  2/5

Solution:

72 ÷ 8/9 × 64/27 ÷ 32/7 -  2/5

= 72 × 9/8 × 64/27 × 7/32 -  2/5

= 81 × 14/27 -  2/5

= 3 × 14 – 2/5

= 42 – 2/5

= 208/5

Numerical Expressions Involving Fractional Numbers

= 41

Explanation:

First carry out both the division i.e. 72 ÷ 8/9 and 64/27 ÷ 32/7 to get 81 and 14/27 respectively. Then 81 and 14/27 is multiplied to get 42. And lastly 2/5 is subtracted from 42 to get the answer 208/5. Since 208/5 is in improper fraction we need to divide it get the answer in mixed fraction. The final answer is 41


4. 49/7 × 81/343 + 4/7 × 0 – 5/7

Solution:

49/7 × 81/343 + 4/7 × 0 – 5/7

= 81/49 + 4/7 × 0 – 5/7

= 81/49 + 0 – 5/7

= 81/49 – 5/7

= 46/49

Explanation:

First do the multiplication (i.e. 49/7 × 81/343 to get 81/49). Then 4/7 is multiplied by 0 to get 0. Then finally 81/49 is subtracted from 5/7 to get 46/49. 46/49 is in proper fraction and hence cannot be changed into mixed fraction and 46/49 is the final answer.

 

NOTE:

In numerical simplifications involving fraction the final answer should be presented either in proper fraction or in mixed fraction or if the answer comes in whole number then we will leave it in whole number. We cannot leave any answer in improper fraction it should be changed into mixed fraction by long division as shown in the examples above.

You might like these



5th Grade Math

From Numerical Expressions Involving Fractional Numbers to HOME PAGE

New! Comments

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


Recent Articles

  1. Eleventh Grade | Eleventh Grade Science | Eleventh Grade Math

    Jun 27, 25 12:26 AM

    Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.

    Read More

  2. Explain Digestion of Food | Salivary Glands | Oesophagus | Stomach

    Jun 27, 25 12:20 AM

    Human Digestive System
    Before the digestion is start by the different enzymes secreted from the different digestive glands food must be turned and chut or mixed with saliva inside the mouth.

    Read More

  3. Explain Human Digestive System | Mouth | Tongue | Pharynx | Teeth

    Jun 21, 25 01:15 PM

    Tongue
    Digestive system is a system of alimentary canal and digestive glands. Alimentary canal- alimentary canal is a tube of variable diameter having muscular wall and glandular epithelial tissues which sta…

    Read More

  4. Vernalisation in Plants | Definition | Mechanism | Devernalization |

    Jun 18, 25 01:34 PM

    Photoperiod and Vernalisation
    Definition of vernalisation- The change of flowering habit due to the low temperature treatment is known as vernalisation. This is a physiological process which was denoted by Clipart in 1857 invite b…

    Read More

  5. The Food We Eat | Food we Get from Plants and Animals | Carbohydrates

    Jun 15, 25 03:20 PM

    Food We Eat
    What are the food that we should eat? Find out the names of ten food items in the word maze. Write the names in the correct column of the table given below. Food we get from plants Food we get from an…

    Read More