Question

Complete the calculations below to write equivalent fractions, with a common denominator.

Answer 1

I think you're saying that you want equivalent fractions for  4/5  and  5/6 ,
and the equivalent fractions should both have the same denominator.  OK.

Have you learned "least common denominator" yet ?
Or maybe "least common multiple" ?

It's the smallest number that  5  and  6  both go into with no remainder.

I'm not going to try to explain the whole general method for finding it.
That confuse both of us, you and me.

In this case, I'll just tell you that the smallest common denominator here
is  30 .  Now you have to find the two numerators, so that the new
fractions will really be equivalent to the old ones.

-- Write  4/5  as something with a denominator of  30 .

       4/5  =  ? / 30 .

    What is the '5' multiplied by to get the '30' ?
     It's multiplied by 6 to get 30 .
     So multiply the 4 by the same 6.      The equivalent fraction is  24/30 .

-- Write  5/6  as something with a denominator of  30 .

       5/6  =  ? / 30 .

     What is the '6' multiplied by to get the '30' ?
     It's multiplied by 5 to get 30 .
     So multiply the 5 by the same 6.      The equivalent fraction is  25/30 .