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Chapter 7: Fractions > Exercise 7.1

Exercise 7.1

1. Write the fraction representing the shaded (teal-colored) portion.

(i)

Total no.of parts =

No.of shaded parts =

Fraction =

(ii)

Total no.of parts =

No.of shaded parts =

Fraction =

(iii)

Total no.of parts =

No.of shaded parts =

Fraction =

(iv)

Total no.of parts =

No.of shaded parts =

Fraction =

(v)

Total no.of parts =

No.of shaded parts =

Fraction =

(vi)

Total no.of parts =

No.of shaded parts =

Fraction =

(vii)

Total no.of parts =

No.of shaded parts =

Fraction =

(viii)

Total no.of parts =

No.of shaded parts =

Fraction =

(ix)

Total no.of parts =

No.of shaded parts =

Fraction =

(x)

Total no.of parts =

No.of shaded parts =

Fraction =

Match according to the given fraction:

1/6
1/4
1/3
3/4
4/9

Identify the error, if any.

Is this 12?

(i) The shaded part is .

∴ It is not 12.

12 of (i) is as shown:

Is this 14?

(ii) The shaded part is .

∴ This is not 14.

14 of (ii) is as shown:

Is this 34?

(iii) The shaded part is .

∴ This is not 34.

34 of (iii) is as shown:

What fraction of a day is 8 hours?

There are hours in a day.

Thus, the fraction of 8 hours out of 24 hours = i.e.

So, 8 hours is 13 of a day.

What fraction of an hour is 40 minutes?

There are minutues in an hour.

Fraction of 40 minutues out of 60 minutes = =

So, 40 minutes is 23 of an hour.

Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.

(a) How can Arya divide his sandwiches so that each person has an equal share?

Arya can divide each sandwich into equal parts and give piece of each sandwich to himself, Abhimanyu, and Vivek. This way, each person will receive an equal share of both sandwiches.

(b) What part of a sandwich will each boy receive?

Each one of them will receive part.

Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?

Total number of dresses to be dyed =

Number of dresses finished =

Required fraction = = (Simplified form)

Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Instruction

Natural numbers from 2 to 12 : , , , , , , , , , , .
Total number of natural numbers:
Total number of prime numbers:
Fraction = Number of prime numbersTotal natural numbers =

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Instruction

Total number of natural numbers from 102 to 113 : , , , , , , , , , , , .
Total number of natural numbers:
Total number of prime numbers:
Fraction = Number of prime numbersTotal natural numbers =

What fraction of these circles have X’s in them?

Total number of circles =

Number of circles having X's in them =

Required Fraction = = (Simplified form)

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Number of CDs bought by her from the market =

Number of CD’s received as gifts =

Total number of CDs =

Fraction of CD (bought) = and the fraction of CDs (gifted) =