Question

Salim wants to create a table of ratios that are equivalent to 2/3 he includes the ratios 4/5 and 5/6 are these ratios equivalent to 2/3 explain your reasoning

Answer 1

We have to verify if 4/5 and 5/6 are eqauivalent to 2/3.

We can verify this dividing the numbers by 2/3, and if we get the value 1, then they are equivalent. If they are equivalent, then the fraction can be reduced up to 2/3, and this division will give us the value 1.

We start with 4/5:

`((4)/(5))/((2)/(3))=(4)/(5)\cdot(3)/(2)=(12)/(10)=(6)/(5)\\eq1`

4/5 is not a 2/3 ratio.

We continue with 5/6:

`((5)/(6))/((2)/(3))=(5)/(6)\cdot(3)/(2)=(15)/(12)=(5)/(4)\\eq1`

5/6 is not a 2/3 ratio.