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:

\(\frac{7}{3}-\frac{4}{3}\)

= \(\frac{7-4}{3}\)

= \(\frac{3}{3}\)