Question

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

Answer 1

Answer:

4

Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$$=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

=4

Hence, $2\frac 1 2 \div \frac 5 8=4$