Chapter-7 Fraction

1. What fraction of a day has 8 hours?

Explanation:

A day has 24 hours


We have 8 hours


So the required fraction is 8/24


2. What fraction of an hour corresponds to 40 minutes?

Explanation:

1 hour to 60 minutes


∴ 1 hour = 60 minutes


So the required fraction is 40/60


3.Arya, Abhimanyu and Vivek are having lunch. Arya pulled out two sandwiches, one with vegetables and one with marmalade. The other two boys forgot to bring their lunches. Arya agrees to split her sandwich so that everyone gets an equal share.


(i) How does Arya divide her sandwiches so that everyone gets an equal share?

(ii) How many sandwiches did each boy get?


Explanation:

(i) Arya divides the sandwich into 3 equal parts. So everyone gets one.


(ii) Each son gets 1/3rd


∴ Required score is 1/3


4. Kanchan dyes clothes.

He has to dye 30 dresses. To date, she has made 20 dresses. What part of the dress did she finish?

Explanation:

Total number of clothes Kanchan has to dye = 30 clothes


Number of garments she completed = 20 garments


∴ Required points = 20 / 30 = 4 4 4 4 natural numbers. until 12 o'clock.


5. How many of them are prime numbers?

Explanation:

The natural numbers from 2 to 12 are


2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12


Total number of natural numbers entered 4 44 = 4 Number of 44 prime numbers = 5


∴ Required fraction = 5/11 44 ​​44


6. Write the natural numbers from 102 to 113, which fraction is prime?

Explanation:

Natural numbers between


102 and 113 are


102, 103, 104, 105, 106, 107, 108, 109, 110, 124,

, 444, 444, 444, 444 4 prime numbers, Number = 4 [103, 107, 109, 113]


∴ required score = 4/12 = 1/3


7.How many of these circles does X have?

Explanation:

Total number of circles in the diagram = 8


X = 4 Number of circles = 4


∴ Required score = 4 / 4 CD for 8 players = 4 / 4 4 CD won by 4 = 4 / 4 8 players.


8. For a birthday. She bought 3 CDs and received another 5 as gifts. What percent of the total number of CDs did she buy? How many presents did she get?

Explanation:

Number of CDs that Kristin bought at the market = 3


Number of CDs received as a gift = 5


Total number of CDs owned by Kristin = 3 + 5 = 8


∴ Proportion of CDs she bought = 3/8


∴ Proportion of CD received as gift = 5/8


9. He reads 25 pages from a 100-page book. Lalita read 2/5 of the same book. Who reads the least?

Explanation:

total book pages = 100 pages


lalita read = 2 / 5 × 100 = 40 pages


Ila read = 25 pages


Lalita is smaller than Lalit.


10. Rafiq practiced for 3/6 hours and Rohit practiced for 3/4 hours. Who practiced the longest?

Explanation:

Rafiq practiced = 3/6 hours


Rohit practiced = 3/4 hours 6 × 2)


= 6/12


3 / 4 = (3 × 3) / (4 × 3)


= 9/12


must be 9/12 > 6/12 4,444,444 > 3/6


So Rohit has been training longer than Rafiq.


11.In Class A with 25 students, 20 passed with a score of 60% and above; in another class B with 30 students, 24 passed with a pass rate of 60% or more. Which class has the highest percentage of students scoring 60% or higher?

Explanation:

Total number of students in class A = 25



Students who passed Lesson 1 in Class A = 20


So score = 20/25


= 4/5 444 Total number of students in class B = 30


Class B students Passed the first year = 24


So score = 24/30


= 4/5


∴ Equal proportion of successful students

4,114 in both classes.


12. write these fractions as addition or subtraction as appropriate:

Explanation:

Total number of pieces per rectangle = 5


The number of shaded pieces in the first rectangle = 1, i.e.

1/5


Number of colored parts in the second rectangle = 2, i.e. 2/5


The number of shaded parts in the third rectangle = 3, i.e. 3/5


Obviously, the third rectangle represents a fraction = The sum of the fractions represented by the first and second rectangles becomes


so 1/5 + 2/5 = 3/5


13.Write these fractions as addition or subtraction as appropriate:

Explanation:

Total number of parts per circle = 5


We can observe that the first, second and third circles each represent 5 of the 5 parts 1, 3 and 2 of the shaded part. It is clear that the score represented by the third circle is the difference between the scores represented by the first and second circles.


So 5/5 – 3/5 = 2/5


14. Write these fractions as addition or subtraction as appropriate:

Explanation:

Here we can observe the first, second and third rectangle It represents 5 shaded parts of 2, 3 and 6 equal parts. Obviously, the score represented by the third rectangle is the sum of the scores represented by the first and second rectangles.

So 2/6 + 3/6 = 5/6


15. Shubham painted 2/3 of his bedroom wall space. His sister Madhavi helped paint 1/3 of the wall space. How many did they draw together?

Explanation:

Shubham draws the wall space in the room = 2/3


Madhavi draws the wall space in the room = 1/3


Total area drawn by both = (2/3 + 1/3) )


= (2 + 1) / 3


= 3/3


= 1


∴ Shubham and Madhavi together painted 1 entire wall of the room.


16. Javed got 5/7 from a basket of oranges. How many oranges are left in the basket?

Explanation:

% oforanges gifted to Javed = 5/7


% of remaining oranges in basket = 1 – 5/7


= 7/7 – 5/7


= (7–5)/7


= 2/7


17. Sarita bought 2/5 meter of ribbon and Lalita bought 3/4 meter of ribbon.

What is the total length of the ribbon they bought?

Explanation:

Length of ribbon bought by Sarita = 2/5 meter

Length of ribbon purchased by Lalita = 3/4 meter


Total length of ribbon purchased by both parties = 2 / 5 + 4 4 Take 4 / 4 and take 20 LCM ,


= [(2 × 4) + (3 × 5)] / 20


= (8 + 15) / 20


= 23/20 meters


∴ Total length of purchased ribs and Lalita is 23/20 Mi


18. Naina is a piece of cake, Najma is a piece of cake. Find the total amount of cake they got.

Explanation:

Naina gets a piece of cake =


= 3/2


Najma gets a small piece of the cake =


= 4/3


Depends on both = 4/d 2 + 4/3


= [(3 × 3) + (4 × 2)] / 6


= (9 + 8) / 6


= 17/6


19. A 7/8 meter long wire broke in two. The piece is 1/4 meter long. What is the length of the other piece?

Explanation:

Total length of wires = 7 / 8 meters


Length of one wire = 1/4 meter


Length of second wire = Length of original wire and this =

/8 – 1/4


= [(7 × 1) – (1 × 2)] / 8


= (7 – 2) / 8


= 5/8


∴ Length of second wire = 5 / 8 meters


20. Nandini's house is 9/10 km from her school.

She walked a short distance and took the bus 1/2 mile to school. How far did she travel?

Explanation:

Distance from school to home = 9 / 10 km


Distance traveled by bus = 1/2 km


Distance traveled by Nandini = Total distance from school – distance traveled by bus

94/10 – 1/2


= [(9 × 1) – (1 × 5)] / 10


= (9 – 5) / 10


= 4/10


= 2/5 km


4 the distance traveled by Nandini is 2/5 km


21. Asha and Samuel have bookshelves of the same size, partially filled with books. Ash's shelf is full 5/6 and Samuel's shelf is 2/5.

Which library is full? What fraction are you using?

Explanation:

Fractions in Ash's library = 5/6


Fractions in the Library of Samuel = 2/5


Convert these fractions to equivalent fractions.


5/6 = 5/6 × 5/5


= (5 × 5) / (6 × 5)


= 25/30


2/5 = 2/5 × 6/6

(4 4 ) 2 × 6) / (5 × 6)


= 12/30


25/30 > 12/30


5/6 > 2/5


∴ Ash's library is full of ashes. Samuel's library was full of ashes.


Difference = 5/6 – 2/5


= 25/30 – 12/30


= 13/30


22. It takes Jaidev several minutes to walk across campus. Rahul needs 7/4 minutes. Who will spend less time and by how much?

Explanation:

Jaidev campus walk time =


= 11/5 minutes


Rahul's time to walk around the campus = 7/4 minutes


Convert these fractions to equivalent fractions.

11/5 = 11/5 × 4/4


= (11 × 4) / (5 × 4)


= 44/20


7/4 = 7/4 × 5/5


= (7 × 5) / (4 × 5)


= 35/20


Absolutely 44/20 > 35/20


11/5 > 7/4


∴ Rahul takes less time to cross Jaidev.


Difference = 11 / 5 – 7 / 4


= 44/20 – 35/20


= 9/20


So Rahul walks the entire campus in 9/20 minutes.


23. Ramesh has 20 pencils, Sheelu has 50 pencils and Jamaal has 80 pencils. After 4 months Ramesh has consumed 10 crayons, Sheela 25 crayons and Jamaal has consumed 40 crayons.

How many points did each use up? Make sure everyone uses the same proportion

pencils.

Explanation:

Total number of pencils Ramesh has = 20


Number of pencils used by Ramesh = 10


∴ Score = 10/20 = 1/2


Number of pencils used by Ramesh = 10


Sheela44 = 45 4

∴ Score = 25/50 = 1/2


Total number of pencils owned by Jamaal = 80


Number of pencils used by Jamaal = 40


∴ 2/

∴


So all pencils have the same score which is 1/2


24.Find the equivalent fraction 3/5 with a denominator of 20

Explanation:

We need a denominator of 20


Let M be the numerator of the fraction


∴ M/20 = 3/5 4444 = 3/5 4444


M = (20 x 3) / 5


= 12


so the required fraction is 12/20


25. Using the numerator 9

444 44 4 4 4 4 4 4 4 4 4 find the equivalent fraction 3 / 5 4 4 4 4 4 4

Explanation:

Let N be the denominator of the fraction


8 9/N = 3/5


3 × N = 9 × 5


N = (9 x 5) / 3


= 44 44 so 9 /15 is required


26. Find the equivalent fraction 3/5 with a denominator of 30

Explanation:

We require the denominator to be 30


Let D be the numerator of the fraction 4 44 / D ∴ 444 / / 5


5 x D = 3 x 30


D = (3 × 30) / 5


= 18


So the required fraction is 18/30


27. Valence fraction 3/5 with numerator 27

Explanation:

We need numerator 27


Let N be the denominator of the fraction


5 27/N = 3/5 4 444 3 N = 4 × 444 3 N

N = (5 x 27) / 3


= 45


so the required fraction 27/45


28.Find the equivalent fraction of 36 / 48 with a numerator of 9

Explanation:

Given numerator = 9


∴ 9/D = 36/48


L x 36 = 4 x 4 8 = 4 x 4 8 = 4 x 4 8 (9)


D = 12


So the equivalent fraction is 9/12


29. Find the equivalent fraction 36/48, the denominator is 4

Explanation:

4 = 4 44 Denominator = 4 44 4 / 44 Denominator = 4 44 /48


N × 48 = 4 × 36


N = (4 x 36)/48


= 3


So the equivalent fraction is 3/4


30. Write a fraction. Are all these scores equivalent?

Explanation:

(i) The shaded part is 1/2


(ii) Shaded part is 2 / 4 = (2 / 2) / (4 / 2) = 44 / 2) = 44 (iii) Shaded part is 3 / 6 = (3 / 3) / (6 / 3) = 1/2


(iv) The shaded part is 4 / 8 = (4 / 4) / (8 / 4 ) = 1 / 2


so all fractions are equivalent.


31. Write a fraction. Are all these scores equivalent?

Explanation:

(i) The shaded part is 4 / 12 = (4 / 4) / (12 / 4) = 1 / 3


(ii) The color part is 3 / 9 = (3 / 3) / (9 / 3) = 1 / 3


(iii) the shaded part is 2 / 6 = (2 / 2) / (6 / 2) = 1 / 3


(iv) the shaded part is 1/3


(v) The shaded part is 6 / 15 = (6 / 3) / (15 / 3) = 2 / 5


Not all fractions are equal in their simplest form


therefore, they are not inequivalent fractions.


32.Draw a number line and find the points on it:


1/2, 1/4, 3/4, 4/4

Explanation:

1/2, 1/4, 3/4, 4/4


Here, divide the sequence from 0 to 1 into four equal parts


C = 2/4 = 1/2


B = 1/4


D = 3/4 a


E = 4/4 = 1


33. Draw a number line and find the points on it:


1/8, 2/8, 3/8, 7/8

Explanation:

1/8, 2/8, 3/8, 7/8




Divide the series of numbers from 0 to 1 into eight equal parts


B = 1/8


C = 2/8


D = 3/8


34. Draw a number line and find the points on it


2/5, 3/5, 8/5, 4/5

Explanation:

2/5, 3/5, 8/5, 4/5



From the given series of numbers to us


C = 2/5


D = 3/5


E = 4/5


I = 8/5


35. Check whether the 34. given fractions are equal to:


5/9, 30/54

Explanation:

Given 5/9 and 30/54 44 44

we have 5×54 = 270


4404 4 x 4 4 x 4 4 x 4 2 9 x 30


so 5/9 and 30/54 are equivalent fractions


36. Check whether the given fractions are equivalent:


3/10, 12/50


Solution: 4404 4404 32/10 and 0 is given


we have 3 × 50 = 150


10 x 12 = 120


3 × 50 ≠ 2

× 4 So 3/10 a

are not equivalent fractions. No 4 4 4.


36. Check whether the given fractions are equivalent:

3/10, 12/50

Explanation:

 4404 4404 32/10 and 0 is given


we have 3 × 50 = 150


10 x 12 = 120


3 × 50 ≠ 2

× 4 So 3/10 a

are not equivalent fractions. No 4 4 4.


37.Check if the given fractions are equal:


7/13, 5/11 44 ​​44

Explanation:

Mon 7/13 and 5/11 44 ​​44

we have 7 × 11 = 77

54 4 = 4 4 4 5 4 = 4 4 4 5 4 7 × 11 ≠ 5 × 13


So 7/13 and 5/11 are not equivalent fractions


38. Find the answers to the following questions. Write it down and explain how you solved it. Yes


5/9 equals 4/5?

Explanation:

5/9, 4/5


Convert these fractions to equivalent fractions


5 / 9 = (5 / 9) × (5 / 5)


= 44/45 4 = 44/ 45 4 = 44/45 4 (4/5) × (9/9)


= 36/45


∴ 25 / 45 ≠ 36 / 45


So 5/9 is not equal to 4/5


39.Find the answers to the following questions. Write it down and explain how you solved it.

Yes


Is 9/16 equal to 5/9?

Explanation:

September 16, 5/9


is converted to an even fraction


9/16 = (9/16) × (9/9)


= 81/444 44 (5/44 44) / 9) × (16/16)


= 80/144


∴ 81/144 ≠ 80/144


So 9/16 is not equal to 5/9


on the next 9


40.Write it down and explain how you solved it. Yes


4/5 equals 16/20?

Explanation:

15.1., 30.4


4/30 = (2 × 2) / (15 × 2)


= 2/15



∴ 4 4 4 4 4 4 4 4 /15 Not equal to 4/30


41. Make five more pairs of this type and place the appropriate markers.


(i) 5/8 < 6/8

Explanation:


Here the denominators are the same.

So the fraction with the larger numerator is the larger factor


(ii) 5/8 > 2/8


Solution:


Here the denominator is the same. Therefore, the fraction with the largest numerator is

the highest factor