Question

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

-3 5/9

- 9/32

-2

2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 3/8 is 8/3.

Therefore, -3/4 divided by 3/8 can be written as:
(-3/4) * (8/3)

Next, multiply the numerators together to get the new numerator:
-3 * 8 = -24

Then, multiply the denominators together to get the new denominator:
4 * 3 = 12

Thus, the expression becomes:
-24/12

Finally, simplify the fraction:
-24 divided by 12 is -2

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

Answer 2

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

To find the quotient, you need to divide -3/4 by 3/8.

Step 1: Invert the divisor (the number you're dividing by).
In this case, the divisor is 3/8. The inverse of 3/8 is 8/3.

Step 2: Multiply the dividend (the number you're dividing) by the inverted divisor.
Multiply -3/4 by 8/3: (-3/4) * (8/3) = -24/12.

Step 3: Simplify the result.
The fraction -24/12 can be simplified, since both the numerator and denominator are divisible by 12. Divide both by 12: (-24/12) / 12/12 = -2/1.

So, the quotient of -3/4 divided by 3/8 is -2.

Answer 3

[AI-generated answer — Explain Bot]

To find the quotient when dividing fractions, you need to multiply the numerator of the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.

In this case, the expression is (-3/4) divided by (3/8).

First, we take the reciprocal of the second fraction: 3/8 becomes 8/3.

Next, we multiply the first fraction by the reciprocal: (-3/4) multiplied by (8/3).

To multiply two fractions, multiply their numerators together and multiply their denominators together.

The numerator becomes (-3 * 8) = -24, and the denominator becomes (4 * 3) = 12.

Therefore, the result is -24/12.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 12.

-24 divided by 12 is -2, and 12 divided by 12 is 1.

Thus, the simplified quotient is -2.

Therefore, the quotient when dividing -3/4 by 3/8 is -2.