Find the value of :

$\dfrac{8}{15}$ of $1\dfrac{1}{2}$ metres

We have:

$\dfrac{8}{15}$ of $1\dfrac{1}{2}$ metres

$1\dfrac{1}{2}$ metres = $\dfrac{3}{2}$ metres $\hspace{1.5cm}$[Converting mixed to improper fraction]

1 meter = 100 cm

∴$\dfrac{3}{2}$ metres = 150 cm $\hspace{1.5cm}$[Converting meter to centimeter]

Now we have:

$\dfrac{8}{15}$ of 150 centimetres

$\begin{array}{ll} = \Big(150 \times \dfrac{8}{15}\Big) \text{ cm} \\ = \Big(\dfrac{150}{1} \times \dfrac{8}{15}\Big) \text{ cm} \\ = \Big(\dfrac{10}{1} \times \dfrac{8}{1}\Big) \text{ cm} & \text{[Simplifying 150 and 15 ⇒ Divide by 15 ]} \\ = \Big(\dfrac{10 \times 8}{1 \times 1}\Big) \text{ cm} \\ = \dfrac{80}{1} \text{ cm} \\ = 80 \text{ cm} \end{array}$

∴ The answer is 80 cm