Answer:
4
Step-by-step explanation:
Given that [tex]2\frac 1 2 \div \frac 1 8 =20[/tex]
[tex]\Rightarrow \frac 5 2 \div \frac 1 8 =20[/tex]
[tex]\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)[/tex]
Now, [tex]2\frac 1 2 \div \frac 5 8[/tex] [tex]= \frac 5 2 \div \frac 5 8[/tex][tex]=\frac 5 2 \times \frac 8 5[/tex]
This can be written as
[tex]\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)[/tex] [as [tex]\frac 8 5=\frac 8 1 \times \frac 1 5[/tex]]
[tex]=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5[/tex]
[tex]=20 \times \frac 1 5[/tex] [ by using equation (i)]
=4
Hence, [tex]2\frac 1 2 \div \frac 5 8=4[/tex]
