# Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 1 Fractions Ex 1.1

You can Download Samacheer Kalvi 6th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations. ## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 1 Fractions Ex 1.1

Question 1.
Fill in the blanks.
(i) 7$$\frac{3}{4}$$ + 6$$\frac{1}{2}$$ = _______
(ii) The sum of whole number and a proper fraction is called ______
(iii) 5$$\frac{1}{3}$$ – 3$$\frac{1}{2}$$ = ______
(iv) 8 ÷ $$\frac{1}{2}$$ = ______
(v) The number which has its own reciprocal is _______.
Solution:
(i) 14$$\frac{1}{4}$$
(ii) Mixed Fraction
(iii) 1$$\frac{5}{6}$$
(iv) 16
(v) 1

Question 2.
Say True or False
(i) 3$$\frac{1}{2}$$ can be written as 3 + $$\frac{1}{2}$$.
(ii) The sum of any two proper fractions is always an improper fraction.
(iii) The mixed fraction of $$\frac{13}{4}$$ is 3$$\frac{1}{4}$$.
(iv) The reciprocal of an improper fraction is always a proper fraction.
(v) 3$$\frac{1}{4}$$ × 3$$\frac{1}{4}$$ = 9$$\frac{1}{16}$$
Solution:
(i) True
(ii) False
(iii) True
(iv) True
(v) False Question 3.
Answer the following :
Solution:
(i) Find the sum of $$\frac{1}{7}$$ and $$\frac{3}{9}$$ (ii) What is the total of 3$$\frac{1}{3}$$ and 4$$\frac{1}{6}$$. (iii) Simplify : 1$$\frac{3}{5}$$ + 5$$\frac{4}{7}$$ (iv) Find the difference between $$\frac{8}{9}$$ and $$\frac{2}{7}$$ (v) Subtract 1$$\frac{3}{5}$$ and 2$$\frac{1}{3}$$ (vi) Simplify: 7$$\frac{2}{7}$$ – 3$$\frac{4}{21}$$ Question 4.
Convert mixed fraction into improper fractions and vice versa: Solution:   Question 5.
Multiply the following : Solution:  Question 6.
Divide the following: Solution:  Question 7.
Gowri purchased 3$$\frac{1}{2}$$ kg of tomatoes, $$\frac{3}{4}$$ kg of brinjal and 1$$\frac{1}{4}$$ kg of onion, what is the total weight of the vegetables she bought?
Solution:
Weight of tomatoes Gowri purchased = 3$$\frac{1}{2}$$ kg
Weight of Brinjal purchased = $$\frac{3}{4}$$ kg Total weight of vegetables that Gowri purchased = 5$$\frac{1}{2}$$ kg Question 8.
An oil tin contains 3$$\frac{3}{4}$$ litres of oil of which 2$$\frac{1}{2}$$ litres of oil is used. How much oil is left over?
Solution: Quantity of oil leftover = 1$$\frac{1}{4}$$ litres.

Question 9.
Nilavan can walk 4$$\frac{1}{2}$$km in an hour. How much distance will he cover in 3$$\frac{1}{2}$$ hours?
Solution:
Distance walked by Nilavan in one hour = 4$$\frac{1}{2}$$ km. Nilavan walks 15$$\frac{3}{4}$$ km in 3$$\frac{1}{2}$$ hours Question 10.
Ravi bought a curtain of length 15$$\frac{3}{4}$$ m. If he cut the curtain into small pieces each of length 2$$\frac{1}{4}$$ m, then how many small curtains will he get?
Solution: Objective Type Questions

Question 11.
Whcih of the following statement is incorrect? Solution:
(d)$$\frac{10}{11}<\frac{9}{10}$$
Hint: Question 12.
The difference between $$\frac{3}{7}$$ and $$\frac{2}{7}$$ is Solution:
(a) $$\frac{13}{63}$$
Hint: Question 13.
The reciprocal of $$\frac{53}{17}$$ is Solution:
(c) $$\frac{17}{53}$$
Hint:
$$\frac{\frac{1}{53}}{\frac{53}{17}}=\frac{17}{53}$$ Question 14.
If $$\frac{6}{7}$$ = $$\frac{A}{49}$$, then the value of A is
(a) 42
(b) 36
(c) 25
(d) 48
Solution:
(a) 42

Question 15.
Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money? Solution:
(c) $$\frac{4}{5}$$ of ₹150