Worksheet on Operations on Rational Expressions

Practice the questions given in the worksheet on operations on rational expressions. The questions are related to the operations of addition, subtraction, multiplication and division on rational numbers.

1. Simplify the following rational numbers:

(i) (25/8 × 2/5) – (3/5 × -10/9)

(ii) (1/2 × ¼) + (1/2 × 6)

(iii) (-5 × 2/15) – (-6 × 2/9)

(iv) (-9/4 × 5/3) + (13/2 × 5/6)

2. Simplify the rational expressions:

(i) (3/2 × 1/6) + (5/3 × 7/2) – (13/8 × 4/3)

(ii) (1/4 × 2/7) – (5/14 × -2/3) + (3/7 × 9/2)

(iii) (13/9 × -15/2) + (7/3 × 8/5) + (3/5 × ½)

(iv) (3/11 × 5/6) – (9/12 × 4/3) + (5/13 × 6/15)

3. Find the value and express as a rational number in standard form:

(i) 2/5 ÷ 26/15

(ii) 10/3 ÷ (-35/12)

(iii) -6 ÷ (-8/17)

(iv) 40/98 ÷ (-20)

4. By what number should we multiply -15/28, so that the product may be -5/7?

5. By what number should we multiply -8/13, so that the product may be 24?

6. By what number should -3/4 be multiplied in order to produce 2/3?

7. Find (m + n) ÷ (m – n), if

(i) m = 2/3, n = 3/2

(ii) m = 2/5, n = 1/2

(iii) m = 5/4, y = -1/3

8. The cost of 7 2/3 meters of rope is $12 3/4. Find its cost per meter.

9. The cost of 2 1/3 meters of rope is $75 1/4. Find cost of cloth per meter.

10. Divide the sum of -13/5 and 12/7 by the product of -31/7 and -1/2.

11. Divide the sum of 65/12 and 8/3 by their difference.

12. If 24 trousers of equal size can be prepared in 54 meters of cloth, what length of the cloth is required for each trouser?

13. Divide the sum of 13/5 and -12/7 by the product of -31/7 and 1/-2.

14. Divide the sum of 65/12 and 8/3 by their difference.

Answers for the worksheet on operations on rational expressions are given below to check the exact answers of the above questions on rational numbers.

Answer:

1. (i) 23/12

(ii) 25/8

(iii) 2/3

(iv)5/3

2. (i) 47/12

(ii) 47/21

(iii) -34/5

(iv) -177/286

3. (i) 3/13

(ii) -8/7

(iii) 51/4

(iv) -1/49

4. 4/3

5. -39

6. -8/9

7. (i) -13/5

(ii) -9

(iii) 11/19

8. $1 61/92

9. $32 1/4

10. -2/5

11. 97/33

12. 9/4 meters

13. 2/5

14. 97/33

● Rational Numbers - Worksheets

Worksheet on Rational Numbers

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers

Math Homework Sheets

8th Grade Math Practice

From Worksheet on Operations on Rational Expressions 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?

Facebook X Pinterest WhatsApp Messenger

[?]Subscribe To This Site

$XML RSS$

Recent Articles

Quadrilaterals | Four Sided Polygon | Closed Figure | Adjoining Figure
Jul 14, 25 02:55 AM
$Square$
Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:
Read More
Formation of Numbers | Smallest and Greatest Number| Number Formation
Jul 14, 25 01:53 AM
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
Read More
5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans
Jul 14, 25 01:53 AM
$Name the Angles$
In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…
Read More
5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math
Jul 11, 25 02:14 PM
$Radii of the circRadii, Chords, Diameters, Semi-circles$
In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…
Read More
Construction of a Circle | Working Rules | Step-by-step Explanation |
Jul 09, 25 01:29 AM
$Parts of a Circle$
Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…
Read More