Worksheet on Division of Fractions
In worksheet on division of fractions, the questions are based on dividing fractions; to find the reciprocal of the fractions and to classify them as proper, improper and whole numbers; simplifying fractions to its lowest form (if needed) and also word problems on dividing fractions. This exercise sheet on divide the fractions has different types of questions that can be practiced by the seventh grade math students to get more ideas to solve all types of questions in worksheet on division of fractions.
1. Find the reciprocal of each of the following fractions and classify them as proper, improper and whole numbers:
(i) 3/7
(ii) 5/8
(iii) 9/7
(iv) 6/5
(v) 12/7
(vi) 1/8
(vii) 1/11
2. Divide the fractions:
(i) 3/8 by 5/9
(ii) 7/12 by 3/4
(iii) 1/2 by 2/5
(iv) 3¹/₄ by 2/3
(v) 7/8 by 4¹/₂
(vi) 6¹/₄ by 2³/₅
3. Dividing fractions:
(i) 3/8 by 4
(ii) 9/16 by 6
(iii) 9 by 3/16
(iv) 10 by 100/3
4. Simplify the fractions:
(i) 3/10 + 10/3
(ii) 4³/₅ + 4/5
(iii) 5⁴/₇ + 1³/₁₀
(iv) 4 ÷ 2²/₅
(v) 2/5 + 1¹/₂
(vi) 3¹/₅ + 1²/₃
(vii) 2¹/₅ + 1¹/₅
(viii) 4³/₇ + 3¹/₂
5. A wire of length 12¹/₂ m is cut into 10 pieces of equal length. Find the length of each piece.
6. The length of a rectangular plot of area 65¹/₃ m² is 12¹/₄ m. What is the width of the plot?
7. By what number should 6²/₉ be multiplied to get 4⁴/₉?
8. The product of two numbers is 25⁵/₆. If one of the numbers is 6²/₃, find the other.
9. The cost of 6¹/₄ kg of apples is $ 400. At what rate per kg are the apples being sold?
10. By selling oranges at the rate of $ 5¹/₄ per orange, a fruit-seller gets $ 630. How many dozens of oranges does he sell?
11. In mid-day meal scheme 3/10 litre of milk is given to each student of a primary school. If 30 litres of milk is distributed every day in the school, how many students are there in the school?
12. In a charity show $ 6496 were collected by selling some tickets. If the price of each ticket was $ 50³/₄, how many tickets were sold?
Students can check the answers of the worksheet on division of fractions given below to make sure that the answers are correct.
Answers:
1. (i) 7/3, improper
(ii) 8/5, improper
(iii) 7/9, proper
(iv) 5/6, proper
(v) 7/12 proper
(vi) 8, whole number
(vii) 11, whole number
2. (i) 27/40
(ii) 7/9
(iii) 1¹/₄
(iv) 4⁷/₈
(v) 7/36
(vi) 2²¹/₂₂
3. (i) 3/32
(ii) 3/32
(iii) 48
(iv) 3/10
4. (i) 9/100
(ii) 5³/₄
(iii) 4²/₇
(iv) 1²/₃
(v) 4/15
(vi) 1²³/₂₅
(vii) 1⁵/₆
(viii) 1¹³/₄₉
5. 1¹/₄ m
6. 5¹/₃ m
7. 5/7
8. 3⁷/₈
9. $ 64
10. 10 dozens
11. 100 students
12. 128
If students have any queries regarding the questions given in the worksheet on division of fractions, please fill-up the comment box so that we can help you.
However, suggestions for further improvement, from all quarters would be greatly appreciated.
● Fractions
Addition and Subtraction of Fractions
● Fractions - Worksheets
Worksheet on Multiplication of Fractions
Worksheet on Division of Fractions
7th Grade Math Problems
Math Homework Sheets
From Worksheet on Division of Fractions 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
-
Division of Whole Numbers |Relation between Dividend, Divisor Quotient
Mar 05, 25 03:36 PM
Relation between Dividend, Divisor, Quotient and Remainder is. Dividend = Divisor × Quotient + Remainder. To understand the relation between dividend, divisor, quotient and remainder let us follow the… -
Multiplication of Whole Numbers | Whole Numbers|Multiplication|Numbers
Mar 05, 25 03:29 PM
Multiplication of whole numbers is the sort way to do repeated addition. The number by which any number is multiplied is known as the multiplicand. The result of the multiplication is known as the pro… -
12 Times Table | Read and Write Multiplication Table of 12|Times Table
Mar 05, 25 02:29 PM
In 12 times table we will learn how to read and write multiplication table of 12. We read twelve times table as: One time twelve is 12 Two times twelve are 24 Three times twelve are 36 -
Adding 1-Digit Number | Understand the Concept one Digit Number
Mar 05, 25 03:08 AM
Understand the concept of adding 1-digit number with the help of objects as well as numbers. -
Subtraction of Whole Numbers | Whole Number |Subtract One Large Number
Mar 04, 25 12:20 PM
Subtraction of whole numbers is discussed in the following two steps to subtract one large number from another large number: Step I: We arrange the given numbers in columns, ones under ones, tens unde…
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.