Divide −3/17
by −2/3
(1 point)
Responses
9/34
9 over 3/4
2/17
2 over 1/7
−217
negative 2 over 1/7
−9/34
To divide −3/17 by −2/3, you can follow these steps:
Step 1: Invert the second fraction, −2/3, to its reciprocal, which is −3/2.
Step 2: Change the division operation to multiplication.
Step 3: Multiply the first fraction, −3/17, by the reciprocal of the second fraction, −3/2.
Step 4: Simplify the resulting fraction.
So, −3/17 ÷ −2/3 = −3/17 * −3/2 = (-3 * -3)/(17 * 2) = 9/34.
Therefore, the answer is 9/34.
To divide two fractions, you need to follow these steps:
1. Flip the second fraction: Take the reciprocal of the second fraction by swapping the numerator and denominator. For example, the reciprocal of -2/3 is -3/2.
2. Multiply the first fraction by the reciprocal of the second fraction: Multiply the numerators and denominators of the two fractions. For example, (-3/17) * (-3/2) = 9/34.
So, the result of dividing -3/17 by -2/3 is 9/34.