Question

Comparing 3/4 and 6/8 shown on different number lines divided into different-sized segments, which statement is correct?

a) 3/4 is smaller than 6/8.

b) 3/4 is equal to 6/8.

c) 3/4 is larger than 6/8.

d) The comparison cannot be made based on the information provided.

Answer 1

Upon simplifying 6/8 by dividing both the numerator and the denominator by 2, we get 3/4. Hence, 3/4 is equal to 6/8.

Step-by-step explanation:

When comparing the fractions 3/4 and 6/8 we are looking at two numbers that may appear different at first, but upon simplifying, we can determine their relationship. To compare them directly, we can convert them to have the same denominator or simplify one to match the other.

To simplify 6/8, let's divide both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 3/4, which is exactly the same as the first fraction.

Therefore, the correct statement is:
b) 3/4 is equal to 6/8.