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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Intext Questions

Recap (Textbook Page No. 55)

Question 1.

Which of the following fractions is not a proper fraction?

(a) \(\frac{1}{3}\)

(b) \(\frac{2}{3}\)

(c) \(\frac{5}{10}\)

(d) \(\frac{10}{5}\)

Solution:

(d) \(\frac{10}{5}\)

Question 2.

The equivalent fraction of \(\frac{1}{7}\) is ____

(a) \(\frac{2}{15}\)

(b) \(\frac{1}{49}\)

(c) \(\frac{7}{49}\)

(d) \(\frac{100}{7}\)

Solution:

(c) \(\frac{7}{49}\)

Question 3.

Write >, < or = in the box.

(i) \(\frac{5}{8}\) ____ \(\frac{1}{10}\)

(ii) \(\frac{9}{12}\) _____ \(\frac{3}{4}\)

Solution:

Question 4.

Arrange these fractions from the least to the greatest: \(\frac{1}{2}, \frac{1}{4}, \frac{6}{8}, \frac{1}{8}\)

Solution:

\(\begin{array}{l}{\frac{1}{2}=\frac{1 \times 4}{2 \times 4}=\frac{4}{8}} \\ {\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}}\end{array}\)

Comparing \(\frac{4}{8}, \frac{2}{8}, \frac{6}{8} \text { and } \frac{1}{8}\). we have \(\frac{1}{8}<\frac{2}{8}<\frac{4}{8}<\frac{6}{8}\)

i.e, \(\frac{1}{8}<\frac{1}{4}<\frac{1}{2}<\frac{6}{8}\)

Question 5.

Annan says the \(\frac{2}{6}\) th of the group of triangles given below are blue. Is he correct?

Solution:

No, he is not correct because of the total of 6 triangles 4 are blue, i.e \(\frac{4}{6}^{\text {th }}\) triangles are blue.

Question 6.

Joseph has a flower garden. Draw a picture which shows that \(\frac{2}{10}\) th of the flowers are red and the rest of them are yellow.

Solution:

Question 7.

Malarkodi has 10 oranges. If she ate 4 oranges, what fraction of oranges she was not eaten by her?

Solution:

\(\frac{\text { Oranges not eaten }}{\text { Total oranges }}=\frac{10-4}{10}=\frac{6}{10}\)

Question 8.

After sowing seeds on day one, Muthu observes the growth of two plants and records it. In 10 days, if the first plant grew \(\frac{1}{4}\) th of an inch and the second plant grew \(\frac{3}{8}\) th of an inch, then which plant grew more?

Solution:

Comparing \(\frac{1}{4}\) th of an inch and \(\frac{3}{8}\) th of an inch.

\(\frac{1}{4}=\frac{2}{8}<\frac{3}{8}\)

Second plant grew more.

Try These (Textbook Page No. 57 to 60)

Question 1.

Write the ratio of red tiles to blue tiles and yellow tiles to red tiles.

Solution:

(i) Red tiles to blue tiles = 2 : 3

(ii) Yellow tiles to red tiles = 2 : 2

Question 2.

Write the ratio of blue tiles to that of red tiles and red tiles to that of total tiles.

Solution:

The ratio of blue tiles to red tiles = 3 : 5

The ratio of red tiles to total tiles = 5 : 8

Question 3.

Write the ratio of shaded portion to the unshaded portions in the following shapes.

Solution:

(i) Ratio = 1 : 2

(ii) Ratio = 5 : 4

Question 4.

If the given quantity is in the same unit, put ‘✓’ otherwise put ‘ ✗’ in the table below.

Solution:

Question 5.

Write the ratios in the simplest form and fill in the table.

Solution:

Try These (Textbook Page No. 64)

Question 1.

For the given ratios, find two equivalent ratios and complete the table.

Solution:

Question 2.

Write three equivalent ratios and fill in the boxes.

Solution:

Question 3.

Find the given ratios, find their simplest form and complete the table.

Solution:

Try These (Textbook Page No. 70)

Question 1.

Fill the box by using cross product rule of two ratios

Solution:

By cross product rule we have 1 × □ = 5 × 8

1 × 40 = 40

∴ \(\frac{1}{8}=\frac{5}{40}\)

Question 2.

Use the digits 1 to 9 only once and write as many ratios that are in proportion as possible (For example \(\frac{2}{4}=\frac{3}{6}\))

Solution: