Question

insert > or < to make each of the following true 6/7 5/7, 10/21 10/12, 3/7 3/8

Answer 1

Answer:

3/8 < 3/7 < 10/21 < 5/7 < 10/12 < 6/7

                            OR

6/7 > 10/12 > 5/7 > 10/21 > 3/7 > 3/8

Step-by-step explanation:

$\frac{6}{7}, \frac{5}{7}, \frac{10}{21}, \frac{10}{12}, \frac{3}{7}, \frac{3}{8}$

taking L.C.M. of 7, 7, 21, 12, 7, 8 = 168

→ 6/7 x 24/24 = 144/168

→ 5/7 x 24/24 = 120/168

→ 10/21 x 8/8 = 80/168

→ 10/12 x 14/14 = 140/168

→ 3/7x 24/24 = 72/168

→ 3/8 x 21/21 = 63/168

hence,

63/168 < 72/168 < 80/168 < 120/168 < 140/168 <  144/168

OR

3/8 < 3/7 < 10/21 < 5/7 < 10/12 < 6/7

OR

6/7 > 10/12 > 5/7 > 10/21 > 3/7 > 3/8