Chapter 2: Fractions and Decimals

Solution:-

(b) 5/42

= 5/7 ÷ 6/1

= (5/7)/ (6/1)

= (5/7) × (1/6)

= 5/42

Solution:-

(d) 31/27

First, we have to convert the mixed fraction into an improper fraction
= 31/6

Then,

= 31/6 ÷ 9/2

= (31/6)/ (9/2)

= (31/6) × (2/9)

= (31/3) × (1/9)

= 31/27

Solution:-

(a) (1/3) + (1/6) (b) (1/3) – (1/6)

(c) (1/3) × (1/6) (d) (1/3) ÷ (1/6)

Solution:-

(c) (1/3) × (1/6)

Solution:-

(d) 6/35

3/7 of 2/5 is equal to = (3/7) × (2/5)

= 6/35

Solution:-

(c) between 40 cups and 50 cups

From the question, it is given that,

One packet of biscuits requires 2½ cups of flour = 5/2

One packet of biscuits requires cups of sugar. = 5/3

Total ingredients for one packet of biscuits = (5/2) + (5/3)

= (15 + 10)/6

= 25/6

Then, the total quantity of both ingredients used in 10 such packets of biscuits = 10 × (25/6)

= 5 × (25/3)

= 125/3

=

Solution:-

(b) 47¼

First, we have to convert the mixed fraction into improper fraction 6¾ = 27/4

= 7 × (27/4)

= 189/4

= 47¼

Solution:-

(d) 35/2

= 7/ (2/5)

= 7 × (5/2)

= 35/2

Solution:-

(a) 8/15

First, we have to convert the mixed fraction into an improper fraction
= 8/3

Then,

= (8/3) ÷ 5

= (8/3)/(5/1)

= (8/3) × (1/5)

= 8/15

Solution:-

(c) 2/3

From the question, it is given that,

4/5 of 5 kg apples were used on Monday = (4/5) × 5

= 20/5

= 4 kg

Then,

The next day 1/3 of what was left was used = (1/3) × 1

= 1/3 kg

So, the Weight (in kg) of apples left now is = 1 – (1/3)

= (3 – 1)/3

= 2/3 kg of apples

Solution:-

(b) 3 × ¼

From the given picture, ¼ + ¼ + ¼ = ¾

In Questions 21 to 44, fill in the blanks to make the statements true.