# CBSE Class 7 Maths worksheet for chapter-Fraction and Decimals

Sep 29, 2022, 16:45 IST

## Introduction to Fraction

The word fraction is derived from the Latin word "Fractus" means broken. Represents the total component, which includes the number of equal parts out of a whole.

### Representation of Fractions

A fraction is represented by 2 more than one number, separated by a line. The number above is a numerator and the number below is a denominator. Example: 64 which means 6 out of 4 equal divisions. #### Multiplication of Fractions

Multiplying a fraction by a whole number:

Example 1: 7 × (1/2) = 7/2

Example 2: 5 × (4/45) = 20/45, Dividing a number by a denominator by 5, we get 7/9

Fraction multiplication by fraction is actually a numerical product / product of denominators.

#### Solved Examples

Q1. If x= 9/11 and y= 4/15, then the value of x - y is

1. 5/165
2. 36/165
3. 91/165
4. 98/165

x-y = 9/11 - 4/15

= 135-44/165

= 91/165

Q2. Reciprocal of 7 is

1. -7
2. 1
3. 7
4. 1/7

We know that the reciprocal of x (or inverse of x)

= 1/x

Therefore, the reciprocal of 7 = 1/7

Q3. If the cost of 12 bananas is Rs 26.50, then the cost of 6 such bananas will be

1. Rs 10.50
2. Rs 12
3. Rs 13.25
4. Rs 20

Given, the cost of 12 bananas = Rs 26.50 The cost of 1 banana = Rs 26.50/12

Therefore, the cost of 6 bananas = Rs (26.50/12) x 6

= Rs 13.25.

Q4. If the side of a square is 12.5 cm, then the area of square will be

1. 156.25 cm2
2. 160 cm2
3. 173.5 cm2
4. 180 cm2

Given, side of a square = 12.5 cm

Area of square = side x side = 12.5 x 12.5 cm2

= 156.25 cm2.

Q5. Product of 0.04 x 1.1 is

1. 0.044
2. 0.44
3. 4.04
4. 4.4

0.04 x 1.1 = 0.044.

Q6. Decimal form of 15 rupees 5 paise is

1. Rs 15
2. Rs 15.5
3. Rs 155.0
4. Rs 15.05

Convert 5 paise into rupee

5 paise = Rs 5/100 = Rs 0.05

Thus, 15 rupees 5 pasie = Rs 15.05.

Q7. The value of 4kg 625g in gm will be

1. 4.620 g.
2. 4625 g
3. 40625 g
4. 400625 g

Ans. Correct option is 2

4kg 625g = 4 kg + 625 g

= (4 x 1000 + 625) g [1kg=1000g]

= (4000 + 625) g

= 4625 g

Q8. If the length of a rectangle is 7.1 cm and its breadth is 2.5 cm, then the area of rectangle will be

1. 4.6 cm2
2. 4.8 cm2
3. 8.875 cm2
4. 17.75 cm2

Area of rectangle = length x breadth

= 7.1 cm x 2.5 cm

= 17.75 cm2

Q9. If a car covers a distance of 95.5 km in 2.5 hours, then the average distance covered by it in 1 hour will be

1. 38 km
2. 38.2 km
3. 38.3 km
4. 39 km

Ans. Correct option is 1

Distance covered by the car = 95.5 km

And, the time required to cover this distance = 2.5 hours

Therefore, distance covered by it in 1 hour = 95.5/2.5 = 955/25

= 38.2 km

Q10. If we shift the decimal point two places towards right of a number 0.045, then the new number is

1. 0.0045
2. 4.5
3. 45
4. 450

Ans. Correct option is 2

Shifting the decimal points two places towards right of 0.045 means 0.045 x 100, which gives the number 4.5.

This page consists of CBSE Class 7 Maths Worksheet for chapter-Fraction and Decimals prepared by Physics Wallah. All questions of Fraction and Decimals are with detail solutions for reference. Find out all Worksheet for Class 7 Maths. Do follow NCERT Solutions for Class 7 Maths prepared by Physics Wallah.

For additional information related to the subject you can check the Maths Formula section.

### Also Check

Find Below PDF of CBSE Worksheet for Class 7 Maths Chapter 2 Fraction and Decimals