The DAV Maths Book Class 3 Solutions and DAV Class 3 Maths Chapter 11 Brain Teasers Solutions of Fractions offer comprehensive answers to textbook questions.
DAV Class 3 Maths Ch 11 Brain Teasers Solutions
Question 1.
Tick (✓) the correct answer.
(a) Fraction of the shaded part of the given figure is ______
(i) \(\frac{2}{6}\)
(ii) \(\frac{4}{6}\)
(iii) \(\frac{5}{6}\)
(iv) \(\frac{3}{6}\)
Solution:
(ii) \(\frac{4}{6}\)
(b) Which of the following sets of figure show \(\frac{1}{6}\) < \(\frac{4}{6}\) with respect to shaded part?
(i) 
(ii) 
(iii) 
(iv) 
Solution:
(i)
(c) Which of the following sets are arranged in ascending order:
(i) \(\frac{10}{5}, \frac{7}{5}, \frac{3}{5}, \frac{2}{5}, \frac{1}{5}\)
(ii) \(\frac{9}{2}, \frac{10}{2}, \frac{7}{2}, \frac{15}{2}, \frac{11}{2}\)
(iii) \(\frac{11}{2}, \frac{7}{2}, \frac{5}{2}, \frac{3}{2}, \frac{10}{2}\)
(iv) \(\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{7}{5}, \frac{9}{5}\)
Solution:
(iv) \(\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{7}{5}, \frac{9}{5}\)
(d) In the word ‘MATHEMATICS’. What fraction of letters are vowels?
(i) \(\frac{4}{11}\)
(ii) \(\frac{3}{11}\)
(iii) \(\frac{7}{11}\)
(iv) \(\frac{8}{11}\)
Solution:
(i) \(\frac{4}{11}\)
Question 2.
Fill in the blanks.
(a) In \(\frac{9}{10}\), 9 is called the _______.
Solution:
Numerator
(b) In \(\frac{5}{6}\), 6 is called the _______.
Solution:
Denominator
(c) Fractions having same denominators are called _______ fractions.
Solution:
Like
Question 3.
Write the fractions in words.
(a) \(\frac{1}{3}\)
Solution:
One-third
(b) \(\frac{1}{9}\)
Solution:
One-ninths
(c) \(\frac{3}{4}\)
Solution:
Three-fourths
(d) \(\frac{1}{8}\)
Solution:
One-eights
(e) \(\frac{5}{6}\)
Solution:
Five-sixths
(f) \(\frac{2}{3}\)
Solution:
Two-third.
Question 4.
Write fractions for the following:
(a) Five-sevenths
Solution:
\(\frac{5}{7}\)
(b) Two-tenths
Solution:
\(\frac{2}{10}\)
(c) Five-eights
Solution:
\(\frac{5}{8}\)
(d) Four-ninths
Solution:
\(\frac{4}{9}\)
(e) Three-sevenths
Solution:
\(\frac{3}{7}\)
(f) Four-fifths.
Solution:
\(\frac{4}{5}\)
Question 5.
Complete the table given below.
Solution:
Question 6.
Draw figures in your notebook to represent the following fractions:
(a) \(\frac{1}{2}\)
Solution:
\(\frac{1}{2}\) = 
(b) \(\frac{1}{6}\)
Solution:
\(\frac{1}{6}\) = 
(c) \(\frac{2}{7}\)
Solution:
\(\frac{2}{7}\) = 
(d) \(\frac{4}{5}\)
Solution:
\(\frac{4}{5}\) = 
Question 7.
Solve the following questions.
(a) \(\frac{9}{10}-\frac{5}{10}\)
Solution:
\(\frac{9}{10}-\frac{5}{10}\)
= \(\frac{9-5}{10}\)
= \(\frac{4}{10}\)
(b) \(\frac{2}{4}+\frac{1}{4}\)
Solution:
\(\frac{2}{4}+\frac{1}{4}\)
= \(\frac{2-1}{4}\)
= \(\frac{1}{4}\)
(c) \(\frac{5}{8}-\frac{2}{8}\)
Solution:
\(\frac{5}{8}-\frac{2}{8}\)
= \(\frac{5-2}{8}\)
= \(\frac{3}{8}\)
(d) \(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\)
Solution:
\(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\)
= \(\frac{4+1+2}{7}\)
= \(\frac{7}{7}\)
(e) \(\frac{1}{9}+\frac{5}{9}-\frac{2}{9}\)
Solution:
\(\frac{1}{9}+\frac{5}{9}-\frac{2}{9}\)
= \(\frac{1+5-2}{9}\)
= \(\frac{4}{9}\)
(f) \(\frac{8}{11}-\frac{3}{11}\)
Solution:
\(\frac{8}{11}-\frac{3}{11}\)
= \(\frac{8-3}{11}\)
= \(\frac{5}{11}\)
Question 8.
Your are given a fraction: \(\frac{3}{5}\)
(a) Add 2 to numerator and 3 to denominator. What will be the new fraction?
Solution:
(a) Fraction = \(\frac{3}{5}\)
According to the question
\(\frac{3+2}{5+3}=\frac{5}{8}\) (new fraction)
(b) Multiply numerator by 4 and add 10 to the denominator. What will be the new fraction?
Solution:
\(\frac{3}{5}\)
According to the question
\(\frac{3 \times 4}{5+10}=\frac{12}{15}\)
Additional Questions:
Question 1.
Tick the figures that show halves.
(a)
(b) 
(c) 
(d) 
Solution:
only
(c)
(d)
Question 2.
Write ‘T’ for true and ‘F’ for false.
(a) 
Solution:
False
(b) 
Solution:
True
(c) 
Solution:
False
(d) 
Solution:
True
Question 3.
Shade to show the two fractions and then write ‘<‘, ‘>‘ or ‘‘
(a) 
Solution:
(b) 
Solution:
(c)
Solution:
(d) 
Solution:
(e) 
Solution:
(f) 
Solution:
Question 4.
Add the following fractions:
(i) \(\frac{5}{6}+\frac{3}{6}\)
Solution:
\(\frac{5}{6}+\frac{3}{6}\)
= \(\frac{5+3}{6}\)
= \(\frac{8}{6}\)
(ii) \(\frac{8}{2}+\frac{3}{2}\)
Solution:
\(\frac{8}{2}+\frac{3}{2}\)
= \(\frac{8+3}{2}\)
= \(\frac{11}{2}\)
(iii) \(\frac{4}{5}+\frac{3}{5}\)
Solution:
\(\frac{4}{5}+\frac{3}{5}\)
= \(\frac{4+3}{5}\)
= \(\frac{7}{5}\)
(iv) \(\frac{7}{8}+\frac{2}{8}\)
Solution:
\(\frac{7}{8}+\frac{2}{8}\)
= \(\frac{7+2}{8}\)
= \(\frac{9}{8}\)
Question 5.
Subtract the following fractions:
(a) \(\frac{8}{6}-\frac{3}{6}\)
Solution:
\(\frac{8}{6}-\frac{3}{6}\)
= \(\frac{8-3}{6}\)
= \(\frac{5}{6}\)
(b) \(\frac{9}{4}-\frac{3}{4}\)
Solution:
\(\frac{9}{4}-\frac{3}{4}\)
= \(\frac{9-3}{4}\)
= \(\frac{6}{4}\)
(c) \(\frac{6}{2}-\frac{3}{2}\)
Solution:
\(\frac{6}{2}-\frac{3}{2}\)
= \(\frac{6-3}{2}\)
= \(\frac{3}{2}\)
(d) \(\frac{7}{3}-\frac{4}{3}\)
Solution:
\(\frac{7}{3}-\frac{4}{3}\)
= \(\frac{7-4}{3}\)
= \(\frac{3}{3}\)