Question

what is the quotient when you divide -3/4 by 3/8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the quotient when you divide -3/4 by 3/8, you can multiply the dividend by the reciprocal of the divisor.

Reciprocal of 3/8 is 8/3.

(-3/4) ÷ (3/8) = (-3/4) * (8/3)

Multiply the numerators and denominators:

(-3 * 8) / (4 * 3) = -24/12

The fraction -24/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12:

-24/12 = -2/1

Therefore, the quotient when you divide -3/4 by 3/8 is -2/1, which is equivalent to just -2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, the first step is to find the reciprocal of 3/8.

Step 1: Reciprocal of 3/8
The reciprocal of 3/8 is 8/3.

Now, we will multiply -3/4 by 8/3.

Step 2: Multiply -3/4 by 8/3
To multiply fractions, multiply the numerators (top numbers) together, and the denominators (bottom numbers) together.

(-3/4) * (8/3) = (-3 * 8) / (4 * 3) = -24/12

The result is -24/12.

Now, we can simplify the fraction by reducing the numerator and denominator.

Step 3: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.

The GCD of 24 and 12 is 12.

(-24/12) ÷ 12 = (-24 ÷ 12) / (12 ÷ 12) = -2/1 = -2

So, the quotient when you divide -3/4 by 3/8 is -2.