Students can download 5th Maths Term 3 Chapter 6 Fractions 6.3 Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

## Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 3 Chapter 6 Fractions 6.3

Question 1.

Convert the following into like fractions

(i) \(\frac{1}{4}, \frac{3}{8}\)

Answer:

As 8 is twice 4, make 8 the common denominator.

\(\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}\)

Thus \(\frac{2}{8}\) and \(\frac{3}{8}\) are the required like fractions.

(ii) \(\frac{2}{5}, \frac{1}{7}\)

Answer:

The number 35 is a multiple of both 7 and 5

\(\frac{2}{5}=\frac{2 \times 7}{5 \times 7}=\frac{14}{35}\)

\(\frac{1}{7}=\frac{1 \times 5}{7 \times 5}=\frac{5}{35}\)

Therefore \(\frac{14}{35}\) and \(\frac{5}{35}\) are the required like fraction

(iii) \(\frac{2}{5}, \frac{3}{10}\)

Answer:

As 10 is twice 5, make 10 the common denominator

\(\frac{2}{5}=\frac{2 \times 2}{5 \times 2}=\frac{4}{10}\)

Thus \(\frac{4}{10}\) and \(\frac{3}{10}\) are the required like fractions.

(iv) \(\frac{2}{7}, \frac{1}{6}\)

Answer:

The number 42 is a multiple of both 7 and 6 so make 42 the common denominator.

\(\frac{2}{7}=\frac{2 \times 6}{7 \times 6}=\frac{12}{42}\)

\(\frac{1}{6}=\frac{1 \times 7}{6 \times 7}=\frac{7}{42}\)

Therefore \(\frac{12}{42}\) and \(\frac{7}{42}\) are the required like fractions.

(v) \(\frac{1}{3}, \frac{3}{4}\)

Answer:

The number 12 is a multiple of both 3 and 4 so make 12 the common denominator

\(\frac{1}{3}=\frac{1 \times 4}{3 \times 4}=\frac{4}{12}\)

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

Therefore \(\frac{4}{12}\) and \(\frac{9}{12}\) are the required like fractions.

(vi) \(\frac{5}{6}, \frac{4}{5}\)

Answer:

The number 30 is a multiple of both 6 and 5, so make 30 the common denominator.

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

\(\frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}\)

Therefore \(\frac{25}{30}\) and \(\frac{24}{30}\) are the required like fractions.

(vii) \(\frac{1}{8}, \frac{3}{7}\)

Answer:

The number 56 is a multiple of both 8 and 7. so make 56 the common denominator.

\(\frac{1}{8}=\frac{1 \times 7}{8 \times 7}=\frac{7}{56}\)

\(\frac{3}{7}=\frac{3 \times 8}{7 \times 8}=\frac{24}{56}\)

Therefore \(\frac{7}{56}\) and \(\frac{24}{56}\) are the required like fractions.

(viii) \(\frac{1}{6}, \frac{4}{9}\)

Answer:

Multiples of 6 : 6, 12, 18, 24, 30, 36, ……

Nultiples of 9 : 9, 18, 27, 36, 45, …….

Smallest common multiple 18

\(\frac{1}{5}=\frac{1 \times 3}{6 \times 3}=\frac{3}{18}\)

\(\frac{4}{9}=\frac{4 \times 2}{9 \times 2}=\frac{8}{18}\)

There fore \(\frac{3}{18}\) and \(\frac{8}{18}\) are the required like fractions.