Question

First rewrite 7/9 and 16/21 so they have a common denominator Then use < = > to order 7/9 16/21

Answer 1

7/9 = 49/63

16/21 = 48/63

7/9 > 16/21

Step-by-step explanation:

First, we need to notice the following:

9 x 7 = 63

21 x 3 = 63

So, to get a common denominator, we will multiply the first fraction by 7 and the second fraction by 3, then:

`\begin{gathered} (7)/(9)=(7*7)/(9*7)=(49)/(63) \\ (16)/(21)=(16*3)/(21*3)=(48)/(63) \end{gathered}`

So, the first part of the answer is

7/9 = 49/63

16/21 = 48/63

Now, the number with a greater numerator will be the greater. Since 49 is greater than 48, we get

7/9 > 16/21

So, the answers are:

7/9 = 49/63

16/21 = 48/63

7/9 > 16/21