Question

Rewrite 9/11 and 6/7 so that they have a common denominator.Then use <, =, or > to order 9/11 and 6/7

Answer 1

• 9/11=63/77

,

• 6/7=66/77

,

• 9/11<6/7

Step-by-step explanation:

Given the fractions: 9/11 and 6/7

First determine the lowest common multiple of the denominators: 11 and 7

L.C.M of 11 and 7 = 77

Next, make this the common denominator as follows:

`\begin{gathered} (9)/(11)=(9)/(11)*(7)/(7)=(63)/(77) \\ (6)/(7)=(6)/(7)*(11)/(11)=(66)/(77) \end{gathered}`

Comparing the numerators, since 63<66:

`\implies(9)/(11)<(6)/(7)`