Respuesta :
Answer:
[tex]\frac{5}{8}[/tex] , [tex]\frac{8}{12}[/tex] , [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
we are given fractions as
[tex]\frac{5}{8}[/tex] , [tex]\frac{8}{12}[/tex] , [tex]\frac{3}{4}[/tex]
Firstly, we will make denominators of all terms same
We can see that denominators are 8 , 12 , 4
Firstly, we will find LCD
LCD of 8,12,4=24
so, we will make all terms as same denominator
[tex]\frac{5}{8}[/tex]
We will multiply top and bottom by 3
[tex]\frac{5}{8}=\frac{3\times 5}{3\times 8}[/tex]
[tex]\frac{5}{8}=\frac{15}{24}[/tex]
[tex]\frac{8}{12}[/tex]
We will multiply top and bottom by 2
[tex]\frac{8}{12}=\frac{2\times 8}{2\times 12}[/tex]
[tex]\frac{8}{12}=\frac{16}{24}[/tex]
[tex]\frac{3}{4}[/tex]
We will multiply top and bottom by 6
[tex]\frac{3}{4}=\frac{6\times 3}{6\times 4}[/tex]
[tex]\frac{3}{4}=\frac{18}{24}[/tex]
Since, denominators are same
so, we can compare numerators
15<16<18
so, order from least to greatest is
[tex]\frac{5}{8}[/tex] , [tex]\frac{8}{12}[/tex] , [tex]\frac{3}{4}[/tex]
