What is a quote when you divide -3/4 by 3/8
"When you divide -3/4 by 3/8, the result is -2."
To divide -3/4 by 3/8, we can follow these steps:
Step 1: Invert the divisor (the number we're dividing by) and change the operation to multiplication. So, 3/8 becomes 8/3.
Step 2: Multiply the dividend (the number being divided) by the inverted divisor. Therefore, -3/4 multiplied by 8/3 can be calculated as follows:
((-3/4) * (8/3)) = (-3 * 8) / (4 * 3)
Step 3: Simplify the result. In this case, we have:
(-24) / (12)
Step 4: Divide both the numerator and denominator by the greatest common divisor (GCD) of -24 and 12, which is 12. Therefore:
(-24/12) = -2
So, when you divide -3/4 by 3/8, the answer is -2.
To find the quotient of -3/4 divided by 3/8, you can follow these steps:
Step 1: Invert the divisor: The reciprocal of 3/8 is 8/3.
Step 2: Change the division operation to multiplication: Instead of dividing by 3/8, we can multiply by its reciprocal, 8/3.
Step 3: Multiply the numerator and denominator: Multiply -3/4 by 8/3.
(-3/4) * (8/3) = (-3 * 8) / (4 * 3) = -24/12
Step 4: Simplify the fraction: -24/12 is equivalent to -2/1 or simply -2.
Therefore, the quotient of -3/4 divided by 3/8 is -2.