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ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Check Your Progress

Question 1.
What fraction is 270 gram of 3 kilograms?
Solution:

Question 2.
Simplify the following:

Solution:

Question 3.
A shirt was marked at ₹ 540. It was sold at \(\frac { 3 }{ 4 }\) of the marked price. What was the sale price?
Solution:

Question 4.
In a class of 56 students, \(\frac { 1 }{ 4 }\) are in blue house and \(\frac { 3 }{ 14 }\) are in yellow house. Out of the remaining, \(\frac { 1 }{ 3 }\) are in the greenhouse and the rest are in the red house. Find the number of students in each house.
Solution:

Question 5.
Rohit bought a motorcycle for ₹ 36000. He paid \(\frac { 1 }{ 6 }\) of the price in cash and the rest in 12 equal monthly installments. Find the amount he had to pay every month.
Solution:

Question 6.
Mr Mukerjee gave \(\frac { 5 }{ 14 }\) of his money to his son, \(\frac { 2 }{ 3 }\) of the remainder to his daughter and the rest to his wife. If his wife got ₹ 36000, what was that total amount?
Solution:

Question 7.

Solution:

Question 8.
Convert the following numbers to fractions (in simplest form):
(i) 0.025
(ii) 0.876
(iii) 4.3125
Solution:

Question 9.
Write the following fractions as decimals:
(i) 1\(\frac { 3 }{ 8 }\)
(ii) \(\frac { 47 }{ 125 }\)
(iii) 2\(\frac { 9 }{ 40 }\)
Solution:

Question 10.
By how much does the sum of 17.443 and 29.657 exceed the sum of 13.687 and 18.548?
Solution:

Question 11.
Simplify the following:
(i) 4.27 × 0.036
(ii) 0.09 × 1.04
(iii) 1.32 ÷ 0.8
(iv) 0.7038 ÷ 0.34
Solution:

Question 12.
If one kg of rice costs ₹ 52.70, then find the cost of 12.5 kg rice.
Solution:

Question 13.
A piece of cloth is 24.5 m long. How many pieces, each of length 1.75 m, can be cut from it?
Solution:

Question 14.
The product of two decimal numbers is 1.599 and one of them ¡s 0.65, find the other.
Solution:

Question 15.
Simplify the following:

Solution:

ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) In fractions with same numerator, the fraction with greater denominator is …….
(ii) \(\frac { 114 }{ 138 }\) reduced to simplest forms is ………
(iii) \(\frac { 154 }{ 286 }\) = \(\frac { …… }{ 13 }\)
(iv) The reciprocal of the fraction 2\(\frac { 3 }{ 8 }\) is …….
(v) There are …….. minutes in \(\frac { 2 }{ 5 }\) th of 2 hours.
(vi) 2\(\frac { 3 }{ 7 }\) × 4\(\frac { 2 }{ 3 }\) = …….
(vii) 1\(\frac { 2 }{ 3 }\) ÷ 2\(\frac { 1 }{ 5 }\) = ………
(viii) If the price of 7 similar pens is ₹ 37.80, then the price of each pen is ……..
(ix) 5.4 × 2.35 = ……
(x) 0.32 ÷ 8 = …….
(xi) 45 mg = ………. g
(xii) 5.06 kg = ……… kg …….. g
(xiii) 7.035 m = ……. m …….. cm …….. mm
(xiv) The product of a proper fraction and an improper fraction is …… the improper fraction.
(xv) The lowest form of the product 2\(\frac { 3 }{ 7 }\) × \(\frac { 7 }{ 9 }\) is ………
(xvi) Ravi ate \(\frac { 2 }{ 7 }\) part of a cake while his sister Rani ate \(\frac { 4 }{ 5 }\) of the remaining. Part of the cake left is ……
Solution:

Question 2.
State whether the following statements are true (T) or false (T):
(i) The reciprocal of 1 is 0.
(ii) The reciprocal of a proper fraction is a proper fraction.
(iii) The reciprocal of an improper fraction is an improper fraction.
(iv) Product of two fractions

(x) The product of two proper fractions is greater than each of the two fractions.
(xi) To multiply a decimal number by 10, move the decimal point to the left by one place.
(xii) To divide a decimal number by 100, move the decimal point to the left by two places.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 20):
Question 3.
\(\frac { 5 }{ 6 }\) of 480 is
(a) 400
(b) 576
(c) 480
(d) none of these
Solution:

Question 4.
The reciprocal of 5\(\frac { 2 }{ 3 }\) is
(a) 5\(\frac { 3 }{ 2 }\)
(b) 3\(\frac { 2 }{ 5 }\)
(c) 2\(\frac { 3 }{ 5 }\)
(d) \(\frac { 3 }{ 17 }\)
Solution:

Question 5.
The fraction \(\frac { 11 }{ 7 }\) lies between
(a) 11 and 7
(b) 1 and 2
(c) 0 and 1
(d) 2 and 3
Solution:

Question 6.
If the cost of 1 kg almonds is ₹ 460, then the cost of \(\frac { 2 }{ 5 }\) kg of almonds is
(a) ₹ 92
(b) ₹ 184
(b) ₹ 230
(d) ₹ 1200
Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.
If \(\frac { 3 }{ 4 }\) of a number is 12, then the number is
(a) 9
(b) 16
(c) 18
(d) 32
Solution:

Question 10.
Arif bought 3 dozen eggs. He found \(\frac { 1 }{ 9 }\) of them were rotten. The number of rotten eggs was
(a) 4
(b) 3
(c) 6
(d) 8
Solution:

Question 11.
Shruti reads a novel for 1\(\frac { 3 }{ 4 }\) hours daily, if she reads the entire novel in 6 days, then the time she takes to read the entire novel is
(a) 7\(\frac { 1 }{ 2 }\) hours
(b) 9\(\frac { 1 }{ 2 }\) hours
(c) 10\(\frac { 1 }{ 2 }\) hours
(d) 11\(\frac { 1 }{ 2 }\) hours
Solution:

Question 12.
The place value of the digit 7 in the decimal number 35.0471 is
(a) 7
(b) \(\frac { 7 }{ 100 }\)
(c) \(\frac { 1 }{ 1000 }\)
(d) \(\frac { 7 }{ 1000 }\)
Solution:

Question 13.
0.002 × 0.3 is
(a) 0.6
(b) 0.06
(c) 0.006
(d) 0.006
Solution:

Question 14.
The value of the mixed fraction 5\(\frac { 3 }{ 8 }\) is
(a) 5.735
(b) 5.375
(c) 5.625
(d) 5.875
Solution:

Question 15.
0.35 ÷ 0.7 is
(a) 50
(b) 5
(c) 0.5
(d) 0.05
Solution:

Question 16.
30 m 5 cm is same as
(a) 30.5 m
(b) 3.05 m
(c) 30.05 m
(d) 30.005 m
Solution:

Question 17.
0.05309 × 1000 is
(a) 5.309
(b) 53.09
(c) 530.9
(d) none of these
Solution:

Question 18.
2.305 ÷ 1000 is
(a) 0.2305
(b) 0.02305
(c) 0.002305
(d) none of these
Solution:

Question 19.
If each side of a regular hexagon is 3.5 cm, then the perimeter of the hexagon is
(a) 17.5 cm
(b) 21 cm
(c) 18.5 cm
(d) 24.5 cm
Solution:

Question 20.
Which of the following numbers has the smallest value?
(a) 0.0002
(b) \(\frac { 2 }{ 1000 }\)
(c) 0.02 × 0.001
(d) \(\frac { 2 }{ 1000 }\) ÷ 0.01
Solution:

Value Based Questions

Question 1.
Seema had one sandwich for her lunch and her two other friends in the class forgot to bring their lunch. Seema decided to share equally her sandwich with her friends. How much part of the sandwich each girl will get? What have you learnt by this behaviour of Seema?
Solution:

Question 2.
A farmer had a large field of dimensions 1396.5 m by 272.72 m. Find the area of the field. He left \(\frac { 1 }{ 6 }\) of this area to make a playground for the children of the locality. Find the area of the playground. Which value of the farmer is reflected in this act?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
I read \(\frac { 4 }{ 9 }\) of a book on one day and \(\frac { 3 }{ 5 }\) of the remaining next day. If 100 pages of the book were still left unread, how many pages did the book contain?
Solution:

Question 2.
A drum of petrol is \(\frac { 3 }{ 4 }\) full. When 30 litres of oil are drawn from it, it is \(\frac { 7 }{ 12 }\) full. Find the capacity of the drum.
Solution:

ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Ex 2.7 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.7

Simplify the following (1 to 3):
Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.
Simplify the following:

Solution:

Question 5.
Simplify the following:

Solution:

Are you looking for the best ICSE Understanding Mathematics ML Aggarwal Class 7 Solutions? Then, grab them from our page and ace up your preparation for ICSE Class 7 Exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.6

Question 1.
Find the following:
(i) 2.7 × 4
(ii) 2.71 × 5
(iii) 2.5 × 0.3
(iv) 2.3 × 4.35
(v) 238.06 × 7.5
(vi) 0.79 × 32.4
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
Solution:

Question 2.
find the following:
(i) 10.8 ÷ 4
(ii) 126.35 ÷ 7
(iii) 22.5 ÷ 1.5
(iv) 4.28 ÷ 0.02
(v) 3.645 ÷ 1.35
(vi) 0.728 ÷ 0.04
(vii) 13.06 ÷ 0.08
(viii) 58.635 ÷ 4.5
Solution:

Question 3.
Multiply each of the following numbers by 10, 100 and 1000 (orally):
(i) 5.9
(ii) 3.76
(iii) 0.549
Solution:

Question 4.
Divide each of the following numbers by 10, 100 and 1000 (orally):
(i) 4.8
(ii) 38.53
(iii) 128.9
Solution:

Question 5.
Find the area of a rectangle whose length is 5.7 cm and breadth is 3.5 cm.
Solution:

Question 6.
The cost of one-metre cloth is ₹ 38.50. Find the cost of 3.6 m cloth.
Solution:

Question 7.
A two-wheeler covers a distance of 45.3 km in one litre of petrol. How much distance will it cover in 5.9 litres of petrol?
Solution:

Question 8.
If 1 kg of pure milk contains 0.245 kg of fat. How much fat is there in 12.8 kg of milk?
Solution:

Question 9.
If ₹ 242.46 are to be distributed among 6 children equally, find the share of each.
Solution:

Question 10.
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Solution:

Question 11.
How many ice cream cones can be filled from 8.4 litres of ice cream if one cone can be filled with 35 millilitres of ice cream?
Solution:

Question 12.
If the product of two decimal numbers is 38.745 and one of the numbers is 2.7, find the other.
Solution:

Question 13.
If \(\frac { 2 }{ 3 }\) of a number is 10, then what is 1.75 times of that number?
Solution:

Are you looking for the best ICSE Understanding Mathematics ML Aggarwal Class 7 Solutions? Then, grab them from our page and ace up your preparation for ICSE Class 7 Exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.5

Question 1.
Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034
Solution:

Question 2.
Write the place value of digit 2 in the following decimal numbers:
(i) 2.56
(ii) 21.37
(iii) 10.25
(iv) 63.352
Solution:

Question 3.
Convert the following decimal numbers to frac ions (in simplest form):
(i) 0.8
(ii) 0.225
(iii) 0. 0092
(iv) 3.025
Solution:

Question 4.
Convert the following decimals to mixed fractions:
(i) 5.05
(ii) 63.125
(iii) 17.075
(iv) 317.0006
Solution:

Question 5.
Convert the following fractions into decimal numbers:
(i) \(\frac { 3 }{ 5 }\)
(ii) \(\frac { 7 }{ 8 }\)
(iii) 3\(\frac { 5 }{ 16 }\)
(iv) 137\(\frac { 13 }{ 62 }\)
Solution:

Question 6.
Which is greater?
(i) 0.5 or 0.05
(ii) 7 or 0.7
(iii) 2.03 or 2.30
(iv) 0.8 or 0.88
Solution:

Question 7.
Arrange the following decimal numbers in ascending order:
(i) 38.02, 38.021, 3.802, 83.02, 38.002
(ii) 46.542, 46.452, 46.254, 46.05, 64.542, 46.0542
Solution:

Question 8.
Arrange the following decimal numbers in descending order:
(i) 5.6, 0.93, 1.87, 1.9, 1.78, 0.39
(ii) 71.201, 20.1, 2.01, 3.1, 2.14, 0.652
Solution:

Question 9.
Express as rupees using decimals:
(i) 7 paise
(ii) 77 rupees 77 paise
(iii) 235 paise
Solution:

Question 10.
Express 5 cm in metre and kilometre.
Solution:

Question 11.
Express in kg using decimals:
(i) 200 g
(ii) 3470 g
(iii) 4 kg 8 g
Solution:

Question 12.
Add:
(i) 5.765, 9.2, 3.08
(ii) 15.49, 8.3572, 0.903, 7.8
Solution:

Question 13.
Workout the following:
(i) 72.53 – 46.782
(ii) 18.376 – 5.43 – 8.8976
(iii) 28.5 – 9.708 – 6.234
(iv) 8.2 – 4.56 – 0.7912 + 2.67
Solution:

Question 14.
(i) What number added to 3.56 gives 13.016?
(ii) What number should be subtracted from 30 to get 23.709?
(iii) What is the excess of 20.4 over 9.7403?
Solution: