Question

Simply the following :
(i) $$\left( \frac { 25 }{ 9 } +\frac { 12 }{ 3 } \right) +\frac { 3 }{ 5 } $$

Answer 1

$$\left( \dfrac { 25\times3+12\times9 }{ 9\times3 } \right) +\dfrac { 3 }{ 5 } $$

$$\dfrac { 75+108 }{ 27 } +\dfrac { 3 }{ 5 } =\dfrac { 183 }{ 27 } +\dfrac { 3 }{ 5 } =\dfrac { 61 }{ 9 } +\dfrac { 3 }{ 5 } $$

$$=\dfrac { 61\times5+3\times9 }{ 9\times5 } =\dfrac { 305+27 }{ 45 } $$

$$=\dfrac{332}{45}$$