What is the quotient when you divide −3/4 by 3/8?
-2
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 3/8 is 8/3.
So, (-3/4) ÷ (3/8) can be written as (-3/4) * (8/3).
Now, we can multiply the numerators and multiply the denominators.
(-3 * 8) / (4 * 3) = -24/12.
The fraction -24/12 can be simplified by dividing both the numerator and the denominator by their common factor, which is 12.
(-24/12) ÷ 12/12 = -2/1.
Therefore, the quotient is -2.
To find the quotient when you divide two fractions, you need to follow these steps:
Step 1: Invert the divisor.
To divide fractions, you need to find the reciprocal of the divisor (the number you're dividing by). In this case, the divisor is 3/8, so you need to find its reciprocal, which is 8/3.
Step 2: Multiply the dividend by the reciprocal of the divisor.
The dividend is the number you are dividing. In this case, the dividend is -3/4. Multiply the dividend (-3/4) by the reciprocal of the divisor (8/3).
-3/4 * (8/3) = (-3 * 8) / (4 * 3) = -24/12
Step 3: Simplify the resulting fraction (if necessary).
In this case, the resulting fraction -24/12 can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD), which is 12.
-24/12 = -2/1
The quotient of -3/4 divided by 3/8 is -2/1 or simply -2.