Question

Please explain this to me Forestry write 3/5 and 4/7 so that they have a common denominatorThen use <=> to order 3/5 4/7

Answer 1

The first thing to do is to write the given numbers with the same denominator. Because both have distinct prime numbers as denominators, the Least common multiple will be the multiplication of them. From this, we know that we will multiply 3/5 by 7/7 and 4/7 by 5/5 to let both with the same denominator.

From this, we perform the needed calculation.

`\begin{gathered} (3)/(5)=(3)/(5)*(7)/(7)=(3*7)/(5*7)=(21)/(35) \\ (3)/(5)=(21)/(35) \\ \\ (4)/(7)=(4)/(7)*(5)/(5)=(4*5)/(7*5)=(20)/(35) \\ (4)/(7)=(20)/(35) \end{gathered}`

Now that both have the same denominator, the greatest is the one with the biggest number in the numerator, which is 21. From this, we conclude that:

`(21)/(35)>(20)/(35)\to(3)/(5)>(4)/(7)`

From the solution presented above, we conclude that:

`(3)/(5)>(4)/(7)`