Question

Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Answer 1

Can you help me with my question??

Answer 2

4

Explanation:

Given that
`2\frac 1 2 / \frac 1 8 =20`

`\Rightarrow \frac 5 2 / \frac 1 8 =20`

`\Rightarrow \frac 5 2 * 8 1 =20 \cdots(i)`

Now,
`2\frac 1 2 / \frac 5 8`
`= \frac 5 2 / \frac 5 8`
`=\frac 5 2 * \frac 8 5`

This can be written as

`\frac 5 2 * \frac 8 5=\frac 5 2 * \left( \frac 8 1 * \frac 1 5\right)` [as
`\frac 8 5=\frac 8 1 * \frac 1 5`]

`=\left(\frac 5 2 * \frac 8 1 \right)* \frac 1 5`

`=20 * \frac 1 5` [ by using equation (i)]

=4

Hence,
`2\frac 1 2 / \frac 5 8=4`