Question

Rewrite 14/25 and 11:20 so they have the common denominator.Then use greater or less than 14/25 and 11/20

Answer 1

Given the fractions 14/25 and 11/20.

The common denominator of the fractions is the least common multiple of 25 and 20.

The least common multiple of 25 and 20 is 100.

First make the denominator of 14/25 to 100.

`\begin{gathered} (14)/(25)=(14\cdot4)/(25\cdot4) \\ =(56)/(100) \end{gathered}`

Now, make the denominator of 11/20 to 100.

`\begin{gathered} (11)/(20)=(11\cdot5)/(20\cdot5) \\ =(55)/(100) \end{gathered}`

To order the fractions 14/25 and 11/20, compare the numerators of 56/100 and 55.

Clearly, 56 > 55. So,

`(56)/(100)>(55)/(100)`

,that is,

`(14)/(25)>(11)/(20)`