Question

Divide 2/7 by 1.5.what’s the answer?

Answer 1

We are to divide 2/7 by 1.5.

The mathematical expression is,

`(2)/(7)/1.5`

First of all, let us convert 1.5 to a fraction

`\begin{gathered} 1.5=(15)/(10)=(3)/(2) \\ \therefore1.5=(3)/(2) \end{gathered}`

Let us now divide and simplify

`(2)/(7)/(3)/(2)`

Apply the fraction rule:

`\begin{gathered} (a)/(b)/(c)/(d)=(a)/(b)*(d)/(c) \\ \therefore(2)/(7)/(3)/(2)=(2)/(7)*(2)/(3) \end{gathered}`

Multiply fractions:

`\begin{gathered} (a)/(b)*(c)/(d)=(a\:*\:c)/(b\:*\:d) \\ \therefore(2)/(7)*(2)/(3)=(2*\:2)/(7*\:3) \end{gathered}`

Multiply the numbers

`(2*\: 2)/(7*\: 3)=(4)/(21)`

Hence, the answer is

`(4)/(21)`