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We use fractions in our daily lives all the time. Suppose you cut an apple into 4 pieces and gave one piece to your friend, so your friend has
These NCERT Solutions provide detailed and step-by-step explanations for the students. With the help of these solutions, they can practice the problems, verify their answer and strengthen their weak areas that need improvement. This will also clear their doubts and give them a proper idea about the concepts of the chapter. Students can refer to the NCERT Solutions for Class 7 to access the subject-wise solutions of Class 7.
Page number: 176 Number of Questions: 5 |
Figure it Out
Question 1: Tenzin drinks
Solution:
Glass of milk drank every day
Glasses of milk drank in a week
Days in month of January = 31
Glasses of milk drank in month of January
Question 2: A team of workers can make 1 km of a water canal in 8 days. So, in one day, the team can make ___ km of the water canal. If they work 5 days a week, they can make ___ km of the water canal in a week.
Solution:
The length of the canal made by workers in 8 days
The length of canal made by workers in 1 day
By working 5 days a week, the length of the canal made by workers
Question 3: Manju and two of her neighbours buy 5 litres of oil every week and share it equally among the 3 families. How much oil does each family get in a week? How much oil will one family get in 4 weeks?
Solution:
Amount of oil shared by 3 families in a week = 5 litres
Amount of oil one family got in a week
Amount of oil one family got in 4 weeks
Question 4: Safia saw the Moon setting on Monday at 10 pm. Her mother, who is a scientist, told her that every day the Moon sets
Solution:
Number of days from Monday to Thursday
Delay in moon setting time per day
Delay in moon setting time over 3 days
Thus, the Moon will set 2.5 hours or 2 hours and 30 minutes after 10 PM on Thursday.
Question 5: Multiply and then convert it into a mixed fraction:
(a)
Solution:
(a)
(b)
(c)
(d)
Page number: 180 Number of Questions: 2 |
Figure it Out
Question 1: Find the following products. Use a unit square as a whole for representing the fractions:
(a)
Solution:
(a)
Unit square divided into 3 rows and 5 columns = 15 parts.
1 part shaded
(b)
A unit square divided into 4 rows and 3 columns = 12 parts.
1 part shaded
(c)
A unit square divided into 5 rows and 2 columns = 10 parts.
1 part shaded
(d)
A unit square divided into 6 rows and 5 columns = 30 parts.
1 part shaded
Question 2: Find the following products. Use a unit square as a whole for representing the fractions and carrying out the operations.
(a)
Solution:
(a)
First, the whole is divided into 5 rows and 3 columns, creating (5 × 3) = 15 equal parts.
The value we get by dividing
Thus, we multiply this result by 2 to get the product. This is
So,
(b)
First, the whole is divided into 3 rows and 4 columns, creating (3 × 4) = 12 equal parts.
The value we get by dividing
So,
(c)
First, the whole is divided into 2 rows and 5 columns, creating (2 × 5) = 10 equal parts. The value we get by dividing
Thus, we multiply this result by 3 to get the product. This is
So,
(d)
First, the whole is divided into 5 rows and 6 columns, creating (5 × 6) = 30 equal parts.
The value we get by dividing
Thus, we multiply this result by 4 to get the product. This is
So,
Page number: 183 Number of Questions: 5 |
Figure it Out
Question 1: A water tank is filled from a tap. If the tap is open for 1 hour,
(a)
(b)
(c)
(d)
(e) For the tank to be full, how long should the tap be running?
Solution:
Part of the tank filled in 1 hour
(a) Part of the tank filled in
(b) Part of the tank filled in
(c) Part of the tank filled in
(d) Part of the tank filled in
(e) Part of the tank filled in 1 hour
⇒ Time required to fill
Time required to fill 1 tank
Question 2: The government has taken
(a) What part of the original land did Krishna get?
(b) What part of the original land did Bora get?
(c) What part of the original land did Somu keep for herself?
Solution:
Part of Somu's land acquired by the government
Somu's original land
(a) Part of the land given to Krishna
(b) Part of the land given to Bora
(c) Part of the land Somu kept for herself
Question 3: Find the area of a rectangle of sides
Solution:
Area of rectangle
Question 4: Tsewang plants four saplings in a row in his garden. The distance between two saplings is
Solution:
Number of saplings in a row in the garden
Distance between two saplings
Distance between first and last sapling
Question 5: Which is heavier:
Solution:
Since 600 g is heavier than 400 g
Therefore,
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Solution:
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Question 2: For each of the questions below, choose the expression that describes the solution. Then simplify it.
(a) Maria bought 8 m of lace to decorate the bags she made for school. She used
(i)
(ii)
(iii)
(iv)
Solution:
Maria bought 8 m of lace to decorate the bags she made for school.
So, total lace = 8 m
One bag took
So, total bags she decorated
Hence, the correct answer is option (iii).
Question 2: For each of the questions below, choose the expression that describes the solution. Then simplify it.
(b)
(i)
(ii)
(iii)
(iv)
Solution:
So, for each bandage, the amount of ribbon used
Hence, the correct answer is option (iv).
Question 2: For each of the questions below, choose the expression that describes the solution. Then simplify it.
(c) A baker needs
(i)
(ii)
(iii)
(iv)
Solution:
A baker needs
Total flour = 5 kg
So, the number of bread made
Hence, the correct answer is option(iii).
Question 3: If
Solution:
12 rotis takes
So, 6 rotis will take half the amount, as the number of rotis is also halved.
So, required amount of flour
Hence, the correct answer is
Question 4: Pạtiganita, a book written by Sridharacharya in the 9th century CE, mentions this problem: "Friend, after thinking, what sum will be obtained by adding together
Solution:
So, total = 6 + 10 + 13 + 9 + 2 = 40
Hence, the correct answer is 40.
Question 5: Mira is reading a novel that has 400 pages. She read
Solution:
Total pages of the novel = 400
Hence, the correct answer is 200 pages.
Question 6: A car runs 16 km using 1 litre of petrol. How far will it go using
Solution:
Using 1 litre of petrol, a car runs 16 km.
So, using
Hence, the correct answer is 44 km.
Question 7: Amritpal decides on a destination for his vacation. If he takes a train, it will take him
Solution:
The train takes
But the plane will take him
Hence, the correct answer is
Question 8: Mariam's grandmother baked a cake. Mariam and her cousins finished
Solution:
Let the total cake be 1.
Mariam and her cousins finished
So, remaining cake
The remaining cake was shared equally by Mariam's three friends.
So, share of every friend
Hence, the correct answer is
Question 9: Choose the option(s) describing the product of
(a)
(b)
(c)
(d)
(e)
(f)
Solution:
Here, 565 > 465
So,
Similarly, 707 > 676
So,
When you multiply two fractions that are both slightly greater than 1, the result will be greater than 1.
So,
Since both
Therefore, the product is:
Hence, the correct answer is options (a), (c), and (e).
Question 10: What fraction of the whole square is shaded?
Solution:
Here, four small squares of equal size.
Now, consider the small square.
If you divide it into 8 equal triangles, the shaded part will occupy 3 triangles.
So, the shaded part is
Hence, the correct answer is
Question 11: A colony of ants set out in search of food. As they search, they keep splitting equally at each point (as shown in Fig. 8.7) and reach two food sources, one near a mango tree and another near a sugarcane field. What fraction of the original group reached each food source?
Solution:
Let the total ants at the start be 1.
At the first point, ants split into two ways.
So,
In the next intersection, the fraction of ants on each way
At the third point, ants split in half again.
So, fraction of ants at each way
At the next point, ants split into 2 ways.
So fraction of ants at each way
Hence, a fraction of ants at the mango tree is:
The fraction of ants near the sugarcane field is:
Question 12: What is
Make a general statement and explain.
Solution:
Expression 1:
Expression 2:
Expression 3:
Expression 4:
The general statement is that multiplying the terms
The important topics that are covered in NCERT Class 7 Maths Chapter 8, Working With Fractions, are:
Given below are the chapter-wise NCERT solutions of class 7 mathematics:
The NCERT Solutions for Class 7, Subject-wise, can be downloaded using the links below.
Students can also check the NCERT Books and the NCERT Syllabus here:
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