Equivalent Rational Numbers for -3/4



1. -6/8
- To find an equivalent rational number for -3/4, we can multiply both the numerator and denominator by the same non-zero number. If we multiply -3/4 by 2, we get -6/8. This is an equivalent rational number because -6 divided by 8 also reduces to -3 divided by 4 when simplified.

2. 3/-4
- Another equivalent rational number for -3/4 can be achieved by changing the sign of either the numerator or the denominator. In this case, if we change the sign of the numerator from -3 to 3, we get 3/-4. This is equivalent to -3/4 because both fractions represent the same value of -3 divided by 4.

3. -9/12
- We can also find an equivalent rational number by multiplying the numerator and denominator by a different number, such as 3 in this case. By multiplying -3/4 by 3, we get -9/12. This fraction is equivalent to -3/4 because when simplified, both fractions reduce to the same value of -3 divided by 4.

4. 6/-8
- Lastly, we can find another equivalent rational number by changing the signs of both the numerator and denominator. If we change the sign of -3 to positive 3 and the sign of 4 to negative 4, we get 6/-8. This fraction is equivalent to -3/4 because both represent the same value of -3 divided by 4.

By following these methods of multiplying by the same number, changing signs, and simplifying, we can find multiple equivalent rational numbers for -3/4.