Question

Is 4 / 3 is 4 divided by 3/2 the same as 4 divided 2/3 explain.

Answer 1

We will investigate the equivalence of fractions.

We have the first statement as follows:

" 4 divided by 3/2"

We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:

`(4)/((3)/(2))`

We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:

`4\cdot\text{ }(2)/(3)`

Simplify the above fraction as follows:

`(8)/(3)`

The next statement is given as such:

" 4 divided by 2/3"

We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:

`(4)/((2)/(3))`

We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:

`4\cdot(3)/(2)`

Simplify the above fraction as follows:

`6`

If we compare the results of two statement we can say that the statements are not equal.

`(8)/(3)\text{ }\\e\text{ 6}`