Question

Arrange in ascending order 3/4,5/8,8/9,3/3​

Answer 1

Answer:

Step-by-step explanation:

To arrange the fractions in order, first make the denominators of each fraction same.

We have

$\frac{3}{4}, \hspace{0.1cm}\frac{5}{8}, \hspace{0.1cm}\frac{8}{9}, \hspace{0.1cm}\frac{3}{3}$

Numbers in denominator are 4, 8 , 9 and 3

LCM of 4, 8, 9, 3 = 72

Thus, we have

$\frac{3 \times 18}{4 \times 18}, \hspace{0.1cm}\frac{5 \times 9}{8 \times 9}, \hspace{0.1cm}\frac{8 \times 8}{9 \times 8}, \hspace{0.1cm}\frac{3 \times 24}{3 \times 24}\\\\\frac{54}{72}, \hspace{0.1cm}\frac{45}{72}, \hspace{0.1cm}\frac{64}{74}, \hspace{0.1cm}\frac{72}{72}$

Thus, arranging in ascending order, we get

$\frac{45}{72} \> \hspace{0.1cm}\frac{54}{72} \> \hspace{0.1cm}\frac{64}{72} \> \hspace{0.1cm}\frac{72}{72}$

$\frac{5}{8}, \hspace{0.1cm}\frac{3}{4}, \hspace{0.1cm}\frac{8}{9}, \hspace{0.1cm}\frac{3}{3}$

Answer 2

Step-by-step explanation:

L.C.M =72

3/4=3/4×18/18=54/72

5/8=5/8×9/9=45/72

8/9=8/9×8/8=64/72

3/3=3/3×24/24=72 /72

45/72 <54/72 <64/72 <72/72

5/8 <3/4 <8/9 <3/3