Perform the indicated operation if possible simplify 3/4 / (-2/3)
division is the inverse operation of multiplication.
3/4 * -3/2=-9/8
To perform the indicated operation of dividing 3/4 by -2/3, we need to follow these steps:
Step 1: Flip the second fraction
To divide fractions, we first need to take the reciprocal of the second fraction. So, the reciprocal of -2/3 is -3/2.
Step 2: Multiply the fractions
Now that we have the reciprocal of the second fraction, we can multiply the two fractions together. So, we have:
3/4 * -3/2
Step 3: Simplify the result
To simplify the result, we multiply across the numerators and across the denominators. The calculation is as follows:
(3 * -3) / (4 * 2) = -9/8
So, the simplified result of dividing 3/4 by -2/3 is -9/8.