Question

Help me, please!!!! I really need help

Answer 1

`(1)/(2),(5)/(8),(7)/(11),(2)/(3)`

Explanation:

step 1

Decompose the number in the denominator into prime factors

2

8=2^3

11

3

Find the least common multiple (LCM)

The LCM is

`(2^3)(11)(3)=264`

Convert each fraction into an equivalent fraction that has LCM as its denominator.

so

`(1)/(2)`

Multiply by 132 both numerator and denominator

`(1)/(2)=(132)/(264)`

`(5)/(8)`

Multiply by 33 both numerator and denominator

`(5)/(8)=(165)/(264)`

`(7)/(11)`

Multiply by 24 both numerator and denominator

`(7)/(11)=(168)/(264)`

`(2)/(3)`

Multiply by 88 both numerator and denominator

`(2)/(3)=(176)/(264)`

Compare fractions with the same denominator

Remember that

When comparing fractions with like denominators, the larger fraction is the one with the greater numerator

so

`(176)/(264)>(168)/(264)>(165)/(264)>(132)/(264)`

or

`(132)/(264)<(165)/(264) <(168)/(264)<(176)/(264)`

therefore

The list in order to smallest to largest is

`(1)/(2),(5)/(8),(7)/(11),(2)/(3)`