Exercise 2.3

1 Find each of the following products.

(i) 56×711

Solution:

56×711

=××

(ii) 6 × 15

Solution:

6×15

(iii) 213 × 315

Solution:

73×165

=××

2 Multiply and reduce to lowest form

(i) 23×515

Solution:

23×265

=××

(ii) 27×13

Solution:

=××

(iii) 93×55

Solution:

=××

3 Which one is greater?

(i) 25 of 47 or 34 of 12

Solution:

First, calculate 25 of 47:

25×47

=××

Next, calculate 34 of 12:

34×12

=××

Now, compare 835 and 38:

LCM of 35 and 8 =

Converting 835:

=×× =

Converting 38: =×× =

Since 105 > 64, is greater.

(ii) 12 of 47 or 23 of 37

Solution:

First, calculate 12 of 47:

12×47

=××

Next, calculate 23 of 37:

23×37

=××

LCM of 14 and 21 =

Converting both fractions:

414=×× =

621=×× =

They are

4 Rehana works 212 hours each day on her embroidery. She completes the work in 7 days. How many hours did she take to complete her work?

Solution:

Rehana works 212 hours each day

= hours per day

Over 7 days, she worked:

52×

=17 hours

5 A truck runs 8 km using 1 litre of petrol. How much distance will it cover using 1023 litres of petrol?

Solution:

Petrol used: 1023 litres

= litres

Distance covered:

323×

= km

Converting to mixed fraction:

256÷3= with remainder

=85 km

6 Raja walks 112 meters in 1 second. How much distance will he walk in 15 minutes?

Solution:

Raja's speed: 112 meters/second

= meters/second

Time in seconds:

15×

= seconds

Distance covered:

32×

= meters

7 Provide the number in the box to make the statement true

(i) 23× ..... =2021

Solution:

23× ..... =2021

.....=×

.....=

(ii) 57× ..... =335

Solution:

57×..... =335

.....=×

..... = `

Fractions, Decimals and Rational Numbers

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Exercise 2.3

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Fractions, Decimals and Rational Numbers

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Glossary

Exercise 2.3