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Fractional numbers

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Dhruv Monga
Dhruv Monga

This document discusses fractional numbers and operations involving fractions such as addition, subtraction, multiplication, division, and comparisons. It provides examples of how to perform each operation step-by-step and includes practice problems for students to work through with answers. Key topics covered include what a fraction is, comparing fractions, finding common denominators, and reducing fractions to their simplest form.

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Fractional numbers
What Are Fractional Numbers? Fractional numbers are those numbers which divides 2 things like- It is a circle & It is half of the circle
Comparison of Fractions Pizza 1 2 parts Each part = 1/2 Pizza 2 4 parts Each part = 1/4
Questions Q1. Write >, < or = in the space provided. a) 4/7 3/7 b) 11/15 11/16 c) 9/11 11/10
Q.2 Arrange in ascending order a. 1/5, 2/15, 3/10, 7/20 Ans. b. 3/4, 9/10, 5/8 Ans. c. 5/6, 7/12, 9/12 Ans.
Q.2 Arrange in descending order a. 9/20, 4/15, 7/40, 7/10 Ans. b. 7/12, 9/24, 11/24 Ans. c. 2/3, 11/12, 5/6 Ans.
Addition of Fractions How to do add the fractions Step 1. find the LCM of the denominators Step 2. change into equivalent fraction Step 3. find the sum of the numerators Step 4. reduce to the simplest form
Questions Q. 1 Add the following fractions a. 2/3 and 3/4 Ans. b. 27 12 and 34 9 Ans. c. 27 8 and 33 16 Ans.
Subtraction of Fractions How to do subtract the fractions Step 1. find the common denominator, i.e. fid the LCM of the denominators Step 2. change the given fraction into equivalent fractions with common denominator Step 3. subtract the new numerators and write the numerator as the difference of the numerators of fractions Step 4. the common denominator is the denominator of the fraction Step 5. if the difference is an improper fraction, change it into a mixed fraction
Questions Q. 1 Find the difference a. 3/10 and 2/15 Ans. b. 11/12 and 5/6 Ans. c. 12 6 and 3/4 Ans.
Q. 1 Subtract a. 7/12 from 6/9 Ans. b. 7/21 from 16/27 Ans. c. 1/2 from 5/8 Ans.
Multiplication of Fractions How to multiply the fractions Step 1. write the whole number as a fraction Step 2. multiply the numerators Step 3. multiply the denominators Step 4. divide
Questions Q. 1 Multiply a. 24 by 1/3 Ans. b. 72 by3/8 Ans. c. 2/3 by 11 3 Ans.
Q. 1 Find the product a. 5/12 x 3/40 Ans. b. 12/ 3 x 33 4 Ans. c. 22 3 x 81 4 Ans.0
Multiplicative inverse or reciprocal If the product of two numbers is one, then each is called inverse of the other reciprocal of the other. E.g.. 3 x 1/3 = 1
Questions Q. 1 Fill in the blanks a. Reciprocal of 12/9 is ____________ b. Multiplicative inverse of 1 is _______ c. Multiplicative inverse of ___________ does not exist.
Division of Fractions Lavika
Questions Q. 1 Divide a. 3/5 by 3 Ans. b. 3/2 by 3 Ans. c. 8/15 by 4 Ans.
Q. 2 Find the quotient a. 2/5 歎 7/5 Ans. b. 7/10 歎 9/10 Ans. c. 5/6 歎 10 Ans.

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Fractional numbers

  • 2. What Are Fractional Numbers? Fractional numbers are those numbers which divides 2 things like- It is a circle & It is half of the circle
  • 3. Comparison of Fractions Pizza 1 2 parts Each part = 1/2 Pizza 2 4 parts Each part = 1/4
  • 4. Questions Q1. Write >, < or = in the space provided. a) 4/7 3/7 b) 11/15 11/16 c) 9/11 11/10
  • 5. Q.2 Arrange in ascending order a. 1/5, 2/15, 3/10, 7/20 Ans. b. 3/4, 9/10, 5/8 Ans. c. 5/6, 7/12, 9/12 Ans.
  • 6. Q.2 Arrange in descending order a. 9/20, 4/15, 7/40, 7/10 Ans. b. 7/12, 9/24, 11/24 Ans. c. 2/3, 11/12, 5/6 Ans.
  • 7. Addition of Fractions How to do add the fractions Step 1. find the LCM of the denominators Step 2. change into equivalent fraction Step 3. find the sum of the numerators Step 4. reduce to the simplest form
  • 8. Questions Q. 1 Add the following fractions a. 2/3 and 3/4 Ans. b. 27 12 and 34 9 Ans. c. 27 8 and 33 16 Ans.
  • 9. Subtraction of Fractions How to do subtract the fractions Step 1. find the common denominator, i.e. fid the LCM of the denominators Step 2. change the given fraction into equivalent fractions with common denominator Step 3. subtract the new numerators and write the numerator as the difference of the numerators of fractions Step 4. the common denominator is the denominator of the fraction Step 5. if the difference is an improper fraction, change it into a mixed fraction
  • 10. Questions Q. 1 Find the difference a. 3/10 and 2/15 Ans. b. 11/12 and 5/6 Ans. c. 12 6 and 3/4 Ans.
  • 11. Q. 1 Subtract a. 7/12 from 6/9 Ans. b. 7/21 from 16/27 Ans. c. 1/2 from 5/8 Ans.
  • 12. Multiplication of Fractions How to multiply the fractions Step 1. write the whole number as a fraction Step 2. multiply the numerators Step 3. multiply the denominators Step 4. divide
  • 13. Questions Q. 1 Multiply a. 24 by 1/3 Ans. b. 72 by3/8 Ans. c. 2/3 by 11 3 Ans.
  • 14. Q. 1 Find the product a. 5/12 x 3/40 Ans. b. 12/ 3 x 33 4 Ans. c. 22 3 x 81 4 Ans.0
  • 15. Multiplicative inverse or reciprocal If the product of two numbers is one, then each is called inverse of the other reciprocal of the other. E.g.. 3 x 1/3 = 1
  • 16. Questions Q. 1 Fill in the blanks a. Reciprocal of 12/9 is ____________ b. Multiplicative inverse of 1 is _______ c. Multiplicative inverse of ___________ does not exist.
  • 18. Questions Q. 1 Divide a. 3/5 by 3 Ans. b. 3/2 by 3 Ans. c. 8/15 by 4 Ans.
  • 19. Q. 2 Find the quotient a. 2/5 歎 7/5 Ans. b. 7/10 歎 9/10 Ans. c. 5/6 歎 10 Ans.