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.