Question

30 POINTS why are 3/4 and 6/8 equivalent

Answer 1

Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.

For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.

For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.

3/4 = 3/4 which means these fractions are equivalent.

3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.