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

i believe it is C. 2/3<3/4

Answer 2

We are given fractions 2⁄3 and 3⁄4.

We need to compare them.

In order to compare them, we need to make the denominators same by finding LCD of common denominator.

Common denominator of 3 and 4 is 12.

So, we need to make both denominator as 12.

Multiplying 2/3 by 4 in top and bottom, we get

2*4/3*4 = 8/12

Multiplying 3/4 by 3 in top and bottom, we get

3*3/4*3 = 9/12.

Now, we can compare the numerators.

8/12 is less than 9/12.

Therefore, 8/12 < 9/12.

Or 2/3 < 3/4.

Therefore, correct option is C option 2⁄3 < 3⁄4.