Question

Move a symbol to each box to compare the fractions.

2/3 7/12
58/ 3/6
< > =

Answer 1

See below ~

Explanation:

Question 1

2/3 _ 7/12

• They are both in simplest form
• Take the LCM as 12
• 2/3 x 4/4 _ 7/12
• 8/12 _ 7/12
• Clearly 8 is greater than 7
• ⇒ 2/3 > 7/12

Question 2

5/8 _ 3/6

• Not in simplest form
• 5/8 _ 1/2
• Take the LCM as 8
• 5/8 _ 1/2 x 4/4
• 5/8 _ 4/8
• 5 is greater than 4
• ⇒ 5/8 > 3/6

Answer 2

#1

• 2/3 =2×4/3×4=8/12
• 7/12

The sign should be

• 8/12>7/12
• 2/3>7/12

#2

• 5/8=5×3/8×3=15/24
• 3/6=3×4/6×4=12/24

So

• 15/24>12/24
• 5/8>3/6