# DAV Class 5 Maths Chapter 4 Worksheet 9 Solutions

The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 4 Worksheet 9 Solutions of Fractional Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 4 Worksheet 9 Solutions

Question 1.
Solve the following word problems.
(a) Gita has eight marbles. She gave $$\frac{1}{4}$$ of them to her younger brother. How many marbles did her brother get?
Solution:
Total marbles = 8
Quantity of marbles given to brother = $$\frac{1}{4}$$ of 8.
= $$\frac{1}{4}$$ × 8
= 2 marbles
Her brother got 2 marbles.

(b) One plum cake weights $$\frac{3}{4}$$ kg . If Mr Ramesh buys five such cakes, how many kilograms of cake did he buy?
Solution:
wt. of plum cake = $$\frac{3}{4}$$ kg
No. of cakes bought by Mr Ramesh = 5
wt. of cake he bought = 5 of $$\frac{3}{4}$$
= $$\frac{5 \times 3}{4}$$
= $$\frac{15}{4}$$ or 3$$\frac{3}{4}$$
He bought 3$$\frac{3}{4}$$ kg of cake. (c) The cost of one kilogram apples is ₹ 25$$\frac{1}{2}$$. What is the cost of 1$$\frac{1}{2}$$ kilogram apples?
Solution:
Cost of 1 kilogram apples = 25$$\frac{1}{2}$$ = ₹ $$\frac{51}{2}$$
Cost of 1$$\frac{1}{2}$$ kilogram apples = $$\frac{51}{2} \times 1 \frac{1}{2}$$
= $$\frac{51}{2} \times \frac{3}{2}$$
= $$\frac{153}{4}$$ or ₹ 38$$\frac{1}{4}$$.
Cost of 1$$\frac{1}{2}$$ kilogram of apples is ₹ 38$$\frac{1}{4}$$.

(d) Mr Gupta puts 3$$\frac{1}{4}$$ litres of petrol in his car. If he uses $$\frac{1}{3}$$ of it, how many litres of petrol did he use?
Solution:
Total quantity of petrol in car = 3$$\frac{1}{4}$$ l = $$\frac{13}{4}$$ l
He uses quantity of petrol = $$\frac{1}{3}$$ of $$\frac{13}{4}$$
= $$\frac{1}{3} \times \frac{13}{4}$$
= $$\frac{13}{12}$$ l or 1$$\frac{1}{12}$$ l
He use 1$$\frac{1}{12}$$ litre of petrol.

(e) Neha spends $$\frac{3}{5}$$ hours a day in morning exercises. How many hours does she spend in morning exercises in one week?
Solution:
In one day Neha spent time in morning exercises = $$\frac{3}{5}$$ hr
In 7 days Neha spent time in morning exercise = 7 × $$\frac{3}{5}$$
= $$\frac{7 \times 3}{5}$$
= $$\frac{21}{5}$$ hrs
= 4$$\frac{1}{5}$$ hrs
She spent 4$$\frac{1}{5}$$ hours in morning exercises in one week. (f) The thickness of the Mathematics book of class-V is 1$$\frac{1}{4}$$ cm. What will be the thickness of a pile of 16 such books?
Solution:
Thickness of 1 book of Mathematics = 1$$\frac{1}{4}$$ cm = $$\frac{5}{4}$$ cm
Thickness of 16 books of Mathematics = 16 × $$\frac{5}{4}$$
= $$\frac{16 \times 5}{4}$$
= 20 cm
The thickness of a pile of 16 such books is 20 cm.

Word Problems

Example 1.
Raghu has $$\frac{1}{2}$$ kg of toffees. He gives $$\frac{2}{3}$$ of it to his sister. How many toffees were given to his sister?
Solution:
Quantity of toffees Raghu has = $$\frac{1}{2}$$ kg
Quantity of toffees given to his sister = $$\frac{2}{3}$$ of $$\frac{1}{2}$$ kg
= $$\frac{2}{3} \times \frac{1}{2}$$
= $$\frac{1}{3}$$ kg
Raghu’s sister gets $$\frac{1}{3}$$ kg toffees. Example 2.
In a class of 30 students $$\frac{3}{5}$$ are girls. Find the number of girls in that class.
Solution:
Total students = 30
Number of girls = $$\frac{3}{5}$$ of 30
= $$\frac{3}{5}$$ × 30
= 18
There are 18 girls in the class.