Question

Please I would like to have the answer for number 8

Answer 1

Problem Statement

The question asks us why the quotient of the division of two fractions is greater than the dividing fractions.

Solution

The reasons for this is that:

1. A number in the denominator is the same as multiplying by the reciprocal of that number.

That is,

`\begin{gathered} (3)/(4)=3*(1)/(4) \\ \\ \text{where,} \\ (1)/(4)\text{ is the reciprocal of 4} \end{gathered}`

2. Multiplying by the reciprocal of a fraction makes the fraction become greater than 1. That is,

`\begin{gathered} (3)/((3)/(4))=3*(4)/(3) \\ \\ \text{where,} \\ (4)/(3)\text{ is the reciprocal of }(3)/(4) \end{gathered}`

3. This, therefore, has the effect of multiplying a fraction by a number bigger than 1 to give a larger answer because of the multiplication operation rather than the lower value as expected in a division operation.