# Question #53fde

May 23, 2016

See explanation

#### Explanation:

This is in a simplified form

Other forms are

$\frac{67}{4} \leftarrow$ Improper fraction

$16.75 \leftarrow$ decimal

'~~~~~~~~~ The teaching bit ~~~~~~~~~~~~~~~

Method to derive $\frac{67}{4}$

Write as $16 \frac{3}{4}$ as $16 + \frac{3}{4}$

If you multiply by 1 you do not change the value or the way it looks.

If you multiply I but in the form of $1 = \frac{4}{4}$ then you do not change the value but you do change the way it looks.

Multiply $16$ by 1 but in the form of $1 = \frac{4}{4}$

$16 \times \frac{4}{4} = \frac{16 \times 4}{4} = \frac{64}{4}$

So you can write $16 + \frac{3}{4}$ as $\frac{64}{4} + \frac{3}{4} = \frac{67}{4}$

May 31, 2016

If seen as ${16}^{\frac{3}{4}}$ it simplifies to ${2}^{3} = 8$

#### Explanation:

I wonder if the question was not meant to be ${16}^{\frac{3}{4}}$?

This is more likely because there is a calculation involved.
However, it would not be 'solve' rather determine or evaluate.

${16}^{\frac{3}{4}}$ can also be written as ${\sqrt[4]{16}}^{3}$

This simplifies to ${2}^{3} = 8$