Question

Which set of fractions is ordered from least to greatest 5/8, 8/12, 3/4

Answer 1

Answer:

$\frac{5}{8}$ , $\frac{8}{12}$ , $\frac{3}{4}$

Step-by-step explanation:

we are given fractions as

$\frac{5}{8}$ , $\frac{8}{12}$ , $\frac{3}{4}$

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

$\frac{5}{8}$

We will multiply top and bottom by 3

$\frac{5}{8}=\frac{3\times 5}{3\times 8}$

$\frac{5}{8}=\frac{15}{24}$

$\frac{8}{12}$

We will multiply top and bottom by 2

$\frac{8}{12}=\frac{2\times 8}{2\times 12}$

$\frac{8}{12}=\frac{16}{24}$

$\frac{3}{4}$

We will multiply top and bottom by 6

$\frac{3}{4}=\frac{6\times 3}{6\times 4}$

$\frac{3}{4}=\frac{18}{24}$

Since, denominators are same

so, we can compare numerators

15<16<18

so, order from least to greatest is

$\frac{5}{8}$ , $\frac{8}{12}$ , $\frac{3}{4}$