The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 4 Worksheet 2** Solutions of Fractional Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 4 Worksheet 2 Solutions

Question 1.

Compare the fractions by cross multiplication method.

(a) \(\frac{1}{2}\) and \(\frac{1}{4}\)

Solution:

(b) \(\frac{3}{5}\) and \(\frac{3}{4}\)

Solution:

(c) \(\frac{9}{10}\) and \(\frac{2}{5}\)

Solution:

(d) \(\frac{4}{9}\) and \(\frac{5}{18}\)

Solution:

(e) \(\frac{3}{5}\) and \(\frac{3}{7}\)

Solution:

(f) \(\frac{11}{18}\) and \(\frac{1}{6}\)

Solution:

Question 2.

Compare the fractions by taking the LCM.

(a) \(\frac{7}{2}\) and \(\frac{5}{3}\)

Solution:

\(\frac{7}{2}\) and \(\frac{5}{3}\)

LCM of 2 and 3 is 6

\(\frac{7}{2} \times \frac{3}{3}=\frac{21}{6}\)

\(\frac{5}{3} \times \frac{2}{2}=\frac{10}{6}\)

Now we compare like fractions

\(\frac{21}{6}\) > \(\frac{10}{6}\)

∴ \(\frac{7}{6}\) > \(\frac{5}{3}\)

(b) \(\frac{5}{6}\) and \(\frac{3}{4}\)

Solution:

\(\frac{5}{6}\) and \(\frac{3}{4}\)

2 × 3 × 3 = 12

LCM of 6 and 4 is 12

\(\frac{5}{6} \times \frac{2}{2}=\frac{10}{12}\)

\(\frac{3}{4} \times \frac{3}{3}=\frac{9}{12}\)

Now we compare like fractions

\(\frac{10}{12}\) > \(\frac{9}{12}\)

∴ \(\frac{5}{6}\) > \(\frac{3}{4}\)

(c) \(\frac{1}{4}\) and \(\frac{2}{5}\)

Solution:

\(\frac{1}{4}\) and \(\frac{2}{5}\)

LCM of 5 and 5 is 20

\(\frac{1}{4} \times \frac{5}{5}=\frac{5}{20}\)

\(\frac{2}{5} \times \frac{4}{4}=\frac{8}{20}\)

Now we compare like fractions

\(\frac{5}{20}\) < \(\frac{8}{20}\)

∴ \(\frac{1}{4}\) < \(\frac{2}{5}\)

(d) \(\frac{3}{10}\) and \(\frac{3}{4}\)

Solution:

\(\frac{3}{10}\) and \(\frac{3}{4}\)

2 × 5 × 2 = 20

LCM of 10 and 4 is 20

\(\frac{3}{10} \times \frac{2}{2}=\frac{6}{20}\)

\(\frac{3}{4} \times \frac{5}{5}=\frac{15}{20}\)

Now we compare like fractions

\(\frac{6}{20}\) < \(\frac{15}{20}\)

∴ \(\frac{3}{10}\) < \(\frac{3}{4}\)

(e) \(\frac{3}{5}\) and \(\frac{5}{6}\)

Solution:

\(\frac{3}{5}\) and \(\frac{5}{6}\)

LCM of 5 and 6 is 30

\(\frac{3}{5} \times \frac{6}{6}=\frac{18}{30}\)

\(\frac{5}{6} \times \frac{5}{5}=\frac{25}{30}\)

Now we compare like fractions

\(\frac{18}{30}\) < \(\frac{25}{30}\)

∴ \(\frac{3}{5}\) < \(\frac{5}{6}\)

(f) \(\frac{2}{9}\) and \(\frac{3}{7}\)

Solution:

\(\frac{2}{9}\) and \(\frac{3}{7}\)

LCM of 9 and 7 is 63

\(\frac{2}{9} \times \frac{7}{7}=\frac{14}{63}\)

\(\frac{3}{7} \times \frac{9}{9}=\frac{27}{63}\)

Now we compare like fractions

\(\frac{14}{63}\) < \(\frac{27}{63}\)

∴ \(\frac{2}{9}\) < \(\frac{3}{7}\)

Question 3.

Compare the following pairs of fractional numbers.

(a) \(5 \frac{1}{2}\) and \(\frac{5}{2}\)

Solution:

(b) \(\frac{9}{7}\) and \(1 \frac{2}{7}\)

Solution:

(c) \(\frac{19}{7}\) and \(2 \frac{1}{6}\)

Solution:

(d) \(4 \frac{3}{4}\) and \(\frac{20}{5}\)

Solution:

(e) \(1 \frac{1}{2}\) and \(\frac{5}{4}\)

Solution:

(f) \(1 \frac{1}{5}\) and \(\frac{5}{4}\)

Solution:

**DAV Class 5 Maths Chapter 4 Worksheet 2 Notes**

In like fractions, the greater the numerator, the greater will be the value of the fractional number.

\(\frac{4}{7}>\frac{2}{7}\)

In Unlike fractions, with the same numerator, the greater the denominator, the smaller will be the value of the fractional numerator.

\(\frac{2}{10}<\frac{2}{8}\)

In case of \(\frac{3}{4}\) and \(\frac{7}{8}\)

Method 1: First we convert the unlike fractions \(\frac{3}{4}\) and \(\frac{7}{8}\) into like fractions.

For that find the Lowest Common Multiple (LCM) of denominators i.e., 4 and 8.

\(\frac{3}{4} \times \frac{2}{2}=\frac{6}{8}\)

\(\frac{7}{8} \times \frac{1}{1}=\frac{7}{8}\)

Now compare like fractions \(\frac{6}{8}\) and \(\frac{7}{8}\)

\(\frac{6}{8}<\frac{7}{8}\) (because 7 > 6)

Method 2: Quick Method of Comparing.

cross multiplication

3 × 8 = 24

4 × 7 = 28

\(\frac{3}{4}<\frac{7}{8}\) (because 24 < 28)