What is the quotient when you divide −3/4 by 3/8?
To divide −3/4 by 3/8, we multiply by the reciprocal of the divisor.
The reciprocal of 3/8 is 8/3.
So, −3/4 divided by 3/8 is equal to −3/4 multiplied by 8/3.
To multiply fractions, we multiply the numerators together and the denominators together.
The numerator is (-3) * 8 = -24
The denominator is 4 * 3 = 12
So, the quotient when dividing −3/4 by 3/8 is -24/12, which simplifies to -2/1 or just -2.
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 3/8 is 8/3.
Now, let's multiply -3/4 by 8/3:
(-3/4) * (8/3) = (-3 * 8) / (4 * 3) = -24/12
To simplify the fraction -24/12, we can divide the numerator and denominator by their greatest common divisor, which is 12:
-24/12 = (-24 ÷ 12) / (12 ÷ 12) = -2/1 = -2
So, the quotient when you divide -3/4 by 3/8 is -2.