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 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
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.
Recent Articles
-
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 12, 24 09:20 AM
2nd grade geometry worksheet -
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver… -
Points and Line Segment | Two Points in a Curved Surface | Curve Line
Dec 09, 24 01:08 AM
We will discuss here about points and line segment. We know when two lines meet we get a point. When two points on a plane surface are joined, a straight line segment is obtained. -
Solid Shapes | Basic Geometric Shapes | Common Solid Figures | Plane
Dec 08, 24 11:19 PM
We will discuss about basic solid shapes. We see a variety of solid objects in our surroundings. Solid objects have one or more shapes like the following. Match the objects with similar shape. -
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Dec 07, 24 03:38 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.
● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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.