Question

Are these expression in the correct order. from least to greater

Answer 1

In order to answer this question, we must compute the products.

From left to right, we have

`(3)/(4)*(4)/(9)=(3*4)/(4*9)=(3)/(9)=(1)/(3)`

the second expression is

`(7)/(7)*(4)/(9)=1*(4)/(9)=(4)/(9)`

In the third expression, we must convert the mixed fraction form into a simple fraction form

`1(2)/(3)=(3\cdot1+2)/(3)=(5)/(3)`

then, the product is given by

`1(2)/(3)*(4)/(9)\Rightarrow(5)/(3)*(4)/(9)=(5*4)/(3*9)=(20)/(27)`

And the last expression is

`2*(4)/(9)=(2)/(1)*(4)/(9)=(8)/(9)`

Then we have the following table:

now, we can use cross-multiplication to compare fractions and find out which is greater.

they both are in order. Now, lets compute the cross multiplication for the others:

Therefore, they are in the correct order.