Fractions Ex-7.5

NCERT solutions for Maths Fractions 

NCERT Solutions for Class 6 Maths Fractions

Class –VI Mathematics

(Ex. 7.5)

Question 1.Write the fractions appropriately as additions or subtractions

Answer:

(a) $\frac{1}{5} + \frac{2}{5} = \frac{{1 + 2}}{5} = \frac{3}{5}$

(b) $\frac{5}{5} – \frac{3}{5} = \frac{{5 – 3}}{5} = \frac{2}{5}$

(c) $\frac{2}{6} + \frac{3}{6} = \frac{{2 + 3}}{6} = \frac{5}{6}$

Question 2.Solve:

(a) $\frac{1}{{18}} + \frac{1}{{18}}$

(b) $\frac{8}{{15}} + \frac{3}{{15}}$

(c) $\frac{7}{7} – \frac{5}{7}$

(d) $\frac{1}{{22}} + \frac{{21}}{{22}}$

(e) $\frac{{12}}{{15}} – \frac{7}{{15}}$

(f) $\frac{5}{8} + \frac{3}{8}$

(g) $1 – \frac{2}{3}\left( {1 = \frac{3}{3}} \right)$

(h) $\frac{1}{4} + \frac{0}{4}$

(i) $3 – \frac{{12}}{5}$

Answer:

(a) $\frac{1}{18}+\frac{1}{18}=\frac{1+1}{18}=\frac{2}{18}=\frac{1}{9}$

(b) $\frac{8}{15}+\frac{3}{15}=\frac{8+3}{15}=\frac{11}{15}$

(c) $\frac{7}{7}-\frac{5}{7}=\frac{7-5}{7}=\frac{2}{7}$

(d) $\frac{1}{22}+\frac{21}{22}=\frac{1+21}{22}=\frac{22}{22}=1$

(e) $\frac{12}{15}-\frac{7}{15}=\frac{12-7}{15}=\frac{5}{15}=\frac{1}{3}$

(f) $\frac{5}{8}+\frac{3}{8}=\frac{8}{8}=1$

(g) $1-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{3-2}{2}=\frac{1}{3}$

(h) $\frac{1}{4}+\frac{0}{4}=\frac{1+0}{4}=\frac{1}{4}$

(i) $3-\frac{12}{5}=\frac{15}{5}-\frac{12}{5}=\frac{15-12}{5}=\frac{3}{5}$

NCERT Solutions for Class 6 Maths Exercise 7.5

Question 3.Shubham painted $\frac{2}{3}$ of the wall space in his room. His sister Madhavi helped and painted $\frac{1}{3}$ of the wall space. How much did they paint together?

Answer:

Fraction of wall painted by Shubham = $\frac{2}{3}$

Fraction of wall painted by Madhavi = $\frac{1}{3}$

Total painting by both of them = $\frac{2}{3}+\frac{1}{3}=\frac{2+1}{3}=\frac{3}{3}=1$

Therefore, they painted complete wall.

Question 4.Fill in the missing fractions:

(a) $\frac{7}{{10}} – \boxed{{\text{ }}} = \frac{3}{{10}}$

(b) $\boxed{{\text{ }}} – \frac{3}{{21}} = \frac{5}{{21}}$

(c) $\boxed{{\text{ }}} – \frac{3}{6} = \frac{3}{6}$

(d) $\boxed{{\text{ }}} + \frac{5}{{27}} = \frac{{12}}{{27}}$

Answer:

(a) $\frac{4}{{10}}$

(b) $\frac{8}{{21}}$

(c) $\frac{6}{6}$

(d) $\frac{7}{{27}}$

NCERT Solutions for Class 6 Maths Exercise 7.5

Question 5.Javed was given of a basket of oranges. What fraction of oranges was left in the basket?

Answer:

Total = 1

Fraction of Orange left = $1 – \frac{5}{7}$

= $\frac{7}{7} – \frac{5}{7} = \frac{{7 – 5}}{7} = \frac{2}{7}$

Thus, $\frac{2}{7}$ oranges was left in the basket.