Which of the following fractions is equivalent to 3/4?

The fraction 3/4 represents three parts of a total of four parts. To determine which option is equivalent to this fraction, we can find a common term to compare.

When considering the fraction 4/8, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor, which is 4. Doing this gives us:

4 ÷ 4 = 1 (numerator)
8 ÷ 4 = 2 (denominator)

Thus, 4/8 simplifies to 1/2, which is not equivalent to 3/4.

Instead, we can also convert the original fraction 3/4 into another equivalent fraction by finding a common denominator. If we multiply both the numerator and the denominator by 2, we have:

3 * 2 = 6 (new numerator)
4 * 2 = 8 (new denominator)

This gives us the equivalent fraction of 6/8.

Examining the other options: 5/9 does not simplify to the same amount as 3/4, since 5 is not a multiple of 3 and 9 is not a multiple of 4. Similarly, 6/9 can