The DAV Class 4 Maths Solutions and **DAV Class 4 Maths Chapter 9 Worksheet 1 **Solutions of Fractions offer comprehensive answers to textbook questions.

## DAV Class 4 Maths Ch 9 WS 1 Solutions

Question 1.

Represent the equivalent fractions \(\frac{1}{2}, \frac{2}{4}, \frac{4}{8}\) in the given figures.

Answer:

Answer:

Answer:

Question 2.

Represent the equivalent fractions \(\frac{1}{3}, \frac{2}{6}, \frac{4}{12}\) in the given figures.

Answer:

Answer:

Answer:

### DAV Class 4 Maths Chapter 9 Worksheet 1 Notes

- ‘Fraction’ means a ‘part’ or a ‘fragment’
- One half – 1 part out of 2 equal parts is taken. So when an object is divided into two equal parts, then each part is called one half of the whole. It is expressed as \(\frac{1}{2}\).
- One-third -1 part out of 3 equal parts is taken. We express one-third as \(\frac{1}{3}\).
- Two-third -2 parts out of 3 equal parts are taken. It is expressed as \(\frac{2}{3}\).
- One-fourth – 1 part out of 4 equal parts is taken. It is expressed as \(\frac{1}{4}\).
- We read them as ‘One by two’, ‘one by three’ two by three’, and one by four.

Question 1.

Write fraction for the shaded part of each group.

Answer:

\(\frac{5}{12}\)

Answer:

\(\frac{2}{6}\)

Answer:

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

Question 2.

Shade the figure according to the give fraction.

Answer:

Answer:

Answer:

Question 3.

Complete the table:

Numerator | Denominator | Fraction | |

(a) | 5 | 8 | _____ |

(b) | 3 | 17 | _____ |

(c) | 6 | ____ | \(\frac{6}{10}\) |

(d) | _____ | 4 | \(\frac{1}{4}\) |

Answer:

(a) \(\frac{5}{8}\)

(b) \(\frac{3}{17}\)

(c) 10

(d) 1

Question 4.

Compare using ‘<‘, ‘>’ ‘=’

(a) \(\frac{4}{3}\) ______ \(\frac{7}{3}\)

Answer:

<

(b) \(\frac{1}{8}\) ______ \(\frac{1}{8}\)

Answer:

=

(c) \(\frac{13}{17}\) ______ \(\frac{5}{17}\)

Answer:

>

(d) \(\frac{3}{10}\) ______ \(\frac{3}{10}\)

Answer:

=

Question 5.

Solve the following:

(a) \(\frac{4}{9}+\frac{1}{9}\)

Answer:

\(\frac{4}{9}+\frac{1}{9}\)

= \(\frac{4+1}{9}\)

= \(\frac{5}{9}\)

(b) \(\frac{2}{11}+\frac{5}{11}+\frac{3}{11}\)

Answer:

\(\frac{2}{11}+\frac{5}{11}+\frac{3}{11}\)

= \(\frac{2+5+3}{11}\)

= \(\frac{\mathbf{1 0}}{\mathbf{1 1}}\)

(c) \(\frac{7}{8}-\frac{2}{8}\)

Answer:

\(\frac{7}{8}-\frac{2}{8}\)

= \(\frac{7-2}{8}\)

= \(\frac{5}{8}\)

(d) \(\frac{13}{17}-\frac{9}{17}\)

Answer:

\(\frac{13}{17}-\frac{9}{17}\)

= \(\frac{13-9}{17}\)

= \(\frac{4}{17}\)

(e) \(\frac{4}{10}+\frac{3}{10}+\frac{1}{10}\)

Answer:

\(\frac{4}{10}+\frac{3}{10}+\frac{1}{10}\)

= \(\frac{4+3+1}{10}\)

=\frac{8}{10}[/latex]

(f) \(\frac{15}{13}-\frac{3}{13}\)

Answer:

\(\frac{15}{13}-\frac{3}{13}\)

= \(\frac{15-3}{13}\)

= \(\frac{12}{13}\)

Equivalent Fractions

Fractions which express the same part of a whole but have different names are called equivalent fractions.

Example: \(\left(\frac{1}{3}, \frac{2}{6}, \frac{4}{12}\right)\)

Thus, \(\frac{1}{3}=\frac{2}{6}=\frac{4}{12}\) are equivalent fractions.