class 6 maths Ex 7.2

 

1. Draw number lines and locate the points on them:

(a) \({1 \over 2}, {1 \over 4}, {3 \over 4}, {4 \over 4}\)

(b) \({1 \over 8}, { 2 \over 8}, { 3 \over 8}, { 7 \over 8}\)

(c) \({2 \over 5}, { 3 \over 5}, { 8 \over 5}, { 4 \over 5}\)

Solutions:

(a) \({1 \over 2}, {1 \over 4}, {3 \over 4}, {4 \over 4}\)

(b) \({1 \over 8}, { 2 \over 8}, { 3 \over 8}, { 7 \over 8}\)

(c) \({2 \over 5}, { 3 \over 5}, { 8 \over 5}, { 4 \over 5}\)

2. Express the following as mixed fractions:

(a) \(20\over 3\)

(b) \(11 \over 5\)

(c) \(17 \over 7\)

(d) \(28 \over 5\)

(e) \(19 \over 6\)

(f) \(35 \over 9\)

Solutions:

(a) \(20\over 3\)



∴ \({20\over 3}=6{2\over 3}\) 

(b) \(11 \over 5\)

∴ \({11 \over 5}=2{1\over 5}\)

(c) \(17 \over 7\)

∴ \({17 \over 7}=2{3 \over 7}\)

(d) \(28 \over 5\)



∴ \({28 \over 5} =5{3 \over 5}\)

(e) \(19  \over 6\)

∴ \({19  \over 6} =3{1 \over 6}\)

(f) \(35  \over 9\)

∴ \({35  \over 9} =3{8 \over 9}\)

3. Express the following as improper fractions:

(a) \(7{3 \over 4}\)=\[{(7 × 4 + 3) \over 4} = {31 \over 4}\]

∴ The improper form is \({31 \over 4}\)

(b) \(5{6 \over 7}\)=\[{(5 × 7 + 6) \over 7} = {41 \over 7}\]

∴ The improper form is \(41\over 7\)

(c) \(2{5 \over 6}\)=\[{(2 × 6 + 5) \over 6} = {17 \over 6}\]

∴ The improper form is \(17 \over 6\)

(d) \(10{3 \over 5}\)=\[{(10 × 5 + 3) \over 5} = {53 \over 5}\]

∴ The improper form is \(53 \over 5\)

(e) \(9{3 \over 7}\)=\[{(9 × 7 + 3) \over 7} = {66 \over 7}\]

∴ The improper form is \(66 \over 7\)

(f) \(8{4 \over 9}\)=\[{(8 × 9 + 4) \over 9} = {76 \over 9}\]

∴ The improper form is \(76 \over 9\)