Question

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

Answer 1

Answer:

$\frac{1}{2},\frac{5}{8},\frac{7}{11},\frac{2}{3}$

Step-by-step 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

$\frac{1}{2}$

Multiply by 132 both numerator and denominator

$\frac{1}{2}=\frac{132}{264}$

$\frac{5}{8}$

Multiply by 33 both numerator and denominator

$\frac{5}{8}=\frac{165}{264}$

$\frac{7}{11}$

Multiply by 24 both numerator and denominator

$\frac{7}{11}=\frac{168}{264}$

$\frac{2}{3}$

Multiply by 88 both numerator and denominator

$\frac{2}{3}=\frac{176}{264}$

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

$\frac{176}{264}>\frac{168}{264}>\frac{165}{264}>\frac{132}{264}$

or

$\frac{132}{264}$

therefore

The list in order to smallest to largest is

$\frac{1}{2},\frac{5}{8},\frac{7}{11},\frac{2}{3}$