CBSE Class 7 Mathematics Fractions and Decimals Assignment Set 01

Question. Which of the following is true with respect to 9/16 and 13/5?
(A) 9/16 > 13/5
(B) 9/16 = 13/5
(C) 9/16 < 13/5
(D) 13/5 < 9/16
Answer : C

Question. Which of the following is the improper fraction form of 12(1/5) ?
(A) 72/5
(B) 61/5
(C) 108/5
(D) 85/5
Answer : B

Question. What is the sum of 3/4, 7/6 and 1(3/5) ?
(A) 3(1/2)
(B) 3(31/60)
(C) 2(13/60)
(D) 412/120
Answer : B

Question. What is the difference of 13/15 and 11/35 ?
(A) 58/105
(B) 5(8/105)
(C) 26/30
(D) 23/15
Answer : A

Question. Which of the following is a proper fraction?
(A) 28/15
(B) 21/23
(C) 16/7
(D) 34/3
Answer : B

Question. What is the product of 1(1/3), 3(1/4) and 7/8 ?
(A) 3(18/24
(B) 2(19/24)
(C) 3(19/24)
(D) 2(18/24)
Answer : C

Question. Guru reads 3/5 of a book. He finds that there are still 80 pages left to be read. What is the total number of pages in the book?
(A) 100
(B) 200
(C) 300
(D) 400
Answer : B

Question. What is 1/7 of 49 litres?
(A) 1 l
(B) 5 l
(C) 7 l
(D) 6!
Answer : C

Question. Indian cricket team won 4 more matches than it lost with New Zealand. If it won 3/5 of its matches, how many matches did India play?
(A) 8
(B) 12
(C) 16
(D) 20
Answer : D

Question. What is the product of a fractional number and its reciprocal?
(A) 0
(B) same number
(C) 1
(D) undefined
Answer : C

Question. What should be added to 21/27 to make 1t 26/27?
(A) 26/27
(B) 6/27
(C) 5/27
(D) 7/27
Answer : C

Question. What are fractions with different denominators called?
(A) Like
(B) Unlike
(C) Proper
(D) Improper
Answer : B

Question. What is the equivalent fraction of 8/11 having the numerator 40?
(A) 40/11
(B) 44/40
(C) 40/55
(D) 16/40
Answer : C

Question. What do you call the fractions which have one as the numerator?
(A) Like fractions
(B) Unlike fractions
(C) Unit fractions
(D) Equal fractions
Answer : C

Question. In which of the following fractions is the numerator greater than the denominator?
(A) Like
(B) Improper
(C) Proper
(D) Mixed'
Answer : B

Question. 1/9 of a number is 5. What is the number?
(A) 5
(B) 9
(C) 14
(D) 45
Answer : D

Question. Given that p/q =s/t. which of these is true?
(A) pq = st
(B) ps = qt
(C) pt = sq
(D) p/t = s/q
Answer : C

Question. What should be added to 3 to get 3(1/5) ?
(A) 3/5
(B) 1/5
(C) 2/S
(D) 3(2/5)
Answer : B

Question. If 4(7/11) = x/11, what is the value of x?
(A) 51
(B) 7
(C) 44
(D) 28
Answer : A

Question. What is the lowest form of 30 ?
(A) 5
(B) 2
(C) S
(D) 15
Answer : C

Question. In wh ich of the following does the shaded part represent one third of its whole?

Answer : D

Question. How many parts should be shaded in the figure B to make it represent the same fraction as the unshaded part of the figure A? M ffiHHHE Figure A Figure B

(A) 3
(B) 15
(C) 8
(D) 12
Answer : B

Question. Madhavi eats one full bar of chocolate.
Then she divides another one into 5 equal parts and eats 3 of them. What is the total number of chocolates that she has eaten?
(A) 4/3
(B) 3/5
(C) 8/5
(D) 8/10
Answer : C

Question. How many one-fourths need to be added to 2(1/4) to make 5?
(A) 3
(B) 4
(C) 5
(D) 11
Answer : D

Question. Between which two numbers does 11/4 1ie?
(A) 1 and 2
(B) 2 and 3
(C) 3 and 4
(D) 11 and 12
Answer : B

(a - b): Look at the alphabets given.
                        P R A S A D

Question a. What fraction of alphabets are made of3 straight lines?
(A) 1/3
(B) 1/6
(C) 2/5
(D) 5/6
Answer : A

Question b. What fraction of alphabets are made of semicircles and straight lines ?
(A) 1/2
(B) 2/5
(C) 5/6
(D) 4/5
Answer : A

Question. Which of the following is an improper fraction?

Answer : B

Question. What does the shaded part of the following strip represent?

(A) 2/7 - 1/7 + 2/7 = 3/7
(B) 2/7 + 1/7 - -2/7 = 1/7
(C) 2/7 + 1/7 = 3/7
(D) 1/7 + 2/7 + 2/7 = 5/7
Answer : D

Question. Which of the following statements is true?
(A) Fractions with the same numerator are called like fractions.
(B) Fractions with the same denominator are called unlike fractions.
(C) Difference of two like fractions difference of numerators comm on denomin ator
(D) A fraction with the numerator greater than or equal to the denominator is called a proper fraction.
Answer : C

Question. Which figure shows 1/10 shaded?

Answer : C

Question. How is the decimal number 9.6 read?
(A) Nine point six
(B) Ninety six
(C) Nine six
(D) Ninety and six
Answer : A

Question. What is the decimal equivalent of 4/10 + 0+ 9/1000 ?
(A) 0.049
(B) 409
(C) 0.409
(D) 0.490
Answer : C

Question. What is the place value of 3 in 9.365?
(A) 3
(B) 30 
(C) 3/10
(D) 1 000
Answer : C

Question. How can 8 hundredths be written?
(A) 0.008
(C) 0.800
(B) 0.08
(D) 800
Answer : B

Question. What is the decimal fraction shown by the shaded part of the figure given?
(A) 2.5
(B) 0.5
(C) 0.6
(D) 0.4
Answer : B

Mathematics Assignment No-10 - Fractions and Decimals

Q1. Ramesh purchased \(2\frac{1}{2}\text{ kg}\) fruits for Rs \(21\frac{3}{4}\). Find the cost of fruit per kg.
Answer: Total weight of fruits = \(2\frac{1}{2}\text{ kg} = \frac{5}{2}\text{ kg}\)
Total cost of fruits = \(\text{Rs } 21\frac{3}{4} = \text{Rs } \frac{87}{4}\)
Cost of \(1\text{ kg}\) of fruit = \(\frac{\text{Total cost}}{\text{Total weight}}\)
Cost per \(\text{kg} = \frac{87}{4} \div \frac{5}{2}\)
\(= \frac{87}{4} \times \frac{2}{5} = \frac{87}{10} = 8\frac{7}{10}\text{ Rs}\)
In simple words: Divide the total cost by the total weight to find the price for one kg.

Exam Tip: Convert mixed fractions into improper fractions before performing division.

Q2. The product of two numbers is \(18\frac{5}{6}\). If one of them is \(3\frac{2}{3}\), find the other.
Answer: Product of two numbers = \(18\frac{5}{6} = \frac{113}{6}\)
Given first number = \(3\frac{2}{3} = \frac{11}{3}\)
Let the other number be \(x\).
\(x \times \frac{11}{3} = \frac{113}{6}\)
\(x = \frac{113}{6} \div \frac{11}{3}\)
\(x = \frac{113}{6} \times \frac{3}{11} = \frac{113}{22} = 5\frac{3}{22}\)
In simple words: Divide the product by the given number to find the unknown number.

Exam Tip: Simplify fractions by canceling common factors before final multiplication.

Q3. Misha had Rs 100 in her pocket. She purchased a note book costing Rs \(27\frac{1}{2}\) and a pencil of Rs \(1\frac{1}{2}\). How much money left with her?
Answer: Total money with Misha = Rs 100
Cost of note book = \(\text{Rs } 27\frac{1}{2} = \text{Rs } \frac{55}{2} = \text{Rs } 27.50\)
Cost of pencil = \(\text{Rs } 1\frac{1}{2} = \text{Rs } \frac{3}{2} = \text{Rs } 1.50\)
Total money spent = \(27\frac{1}{2} + 1\frac{1}{2} = \frac{55}{2} + \frac{3}{2} = \frac{58}{2} = \text{Rs } 29\)
Money left = \(\text{Rs } 100 - \text{Rs } 29 = \text{Rs } 71\)
In simple words: Add the cost of all items purchased and subtract it from the initial amount.

Exam Tip: Combining fractional parts like \(\frac{1}{2} + \frac{1}{2}\) first makes addition much easier.

Q4. The area of a rectangular plot is \(68\frac{3}{4}\text{ square metre}\). It is \(12\frac{1}{2}\text{ m}\) long, find its width.
Answer: Area of the rectangular plot = \(68\frac{3}{4}\text{ m}^2 = \frac{275}{4}\text{ m}^2\)
Length of the plot = \(12\frac{1}{2}\text{ m} = \frac{25}{2}\text{ m}\)
\(\text{Width} = \frac{\text{Area}}{\text{Length}}\)
\(\text{Width} = \frac{275}{4} \div \frac{25}{2}\)
\(\text{Width} = \frac{275}{4} \times \frac{2}{25} = \frac{11}{2}\text{ m} = 5\frac{1}{2}\text{ m}\)
In simple words: Divide the given area by the length to find the width of the rectangle.

Exam Tip: Always include standard units (\(\text{m}\) or \(\text{m}^2\)) in your final answer steps.

Q5. \(4\frac{1}{2}\text{ kg}\) atta costs Rs \(74\frac{1}{4}\). Find the cost of \(1\text{ kg}\) atta.
Answer: Cost of \(4\frac{1}{2}\text{ kg}\) (\(\frac{9}{2}\text{ kg}\)) of atta = \(\text{Rs } 74\frac{1}{4} = \text{Rs } \frac{297}{4}\)
Cost of \(1\text{ kg}\) atta = \(\frac{297}{4} \div \frac{9}{2}\)
Cost of \(1\text{ kg}\) atta = \(\frac{297}{4} \times \frac{2}{9} = \frac{33}{2} = 16\frac{1}{2}\text{ Rs}\)
In simple words: Divide the total cost by the total quantity to get the unit price.

Q6. A car travels a distance of \(270\frac{3}{4}\text{ km}\) in \(4\frac{1}{2}\text{ hours}\). How much distance does it cover in an hour?
Answer: Total distance covered = \(270\frac{3}{4}\text{ km} = \frac{1083}{4}\text{ km}\)
Total time taken = \(4\frac{1}{2}\text{ hours} = \frac{9}{2}\text{ hours}\)
Distance covered in one hour (Speed) = \(\frac{\text{Total distance}}{\text{Total time}}\)
Distance in one hour = \(\frac{1083}{4} \div \frac{9}{2}\)
Distance in one hour = \(\frac{1083}{4} \times \frac{2}{9} = \frac{361}{6} = 60\frac{1}{6}\text{ km}\)
In simple words: Divide total distance by total hours to find the speed per hour.

Exam Tip: Distance divided by time yields speed. Ensure mixed numerals are converted correctly.