Divide −3/17 by −2/3
1. 9/34
2. 2/17
3. −2/17
4. −9/34
To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
So, (-3/17) ÷ (-2/3) = (-3/17) * (-3/2)
Multiplying the numerators and denominators, we get:
(-3 * -3) / (17 * 2) = 9/34
Thus, the answer is 9/34.
The correct option is 1. 9/34.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
So, (-3/17) ÷ (-2/3) can be written as (-3/17) x (-3/2).
Multiplying the numerators (-3 x -3) gives 9, and multiplying the denominators (17 x 2) gives 34.
Therefore, (-3/17) ÷ (-2/3) = 9/34.
So, the answer is option 1: 9/34.
To divide fractions, you can follow these steps:
Step 1: Flip the second fraction. This means you switch the numerator and the denominator.
In this case, the problem is −3/17 divided by −2/3. So, we need to flip −2/3, which gives us 3/−2.
Step 2: Multiply the first fraction by the flipped second fraction.
Now you have −3/17 multiplied by 3/−2.
To multiply fractions, multiply the numerators together and the denominators together.
−3 * 3 = −9
17 * 2 = 34
So, the result is −9/34.
Therefore, the correct answer is option 4. −9/34.