Question

Use ( <, >, =) to compare 2/3 and 3/4 A) none of the above B) 2/3> 3/4 C) 2/3 < 3/4 D) 2/3 = 3/4

Answer 1

B <

Explanation:

Answer 2

Option C: 2/3 < 3/4

Explanation:

Method 1: (By calculating decimal value)

2/3 = 0.667 (approx)

3/4 = 0.75

Now comparing both values:

0.75 > 0.667 or we can say 2/3 < 3/4

Method 2: (By making denominator same)

For denominators 3 and 4 the LCM would be 12 so,

Multiply 2/3 with 4/4 to make denominator= 12:

2*4 / 4*4 = 8/12

Multiply 3/4 with 3/3 to make denominator= 12:

3*3 / 4*3 =9/12

Now we can decide by comparing numerators (as denominators are same) :

8/12 < 9/12

so 2/3 < 3/4 (hence proved)