Multiply & Divide Rational Numbers Unit Test
Certainly! Let's break down the problem step by step:
1. Given that 2/5 of the cars in the used-car lot are gray, this means that 2 out of every 5 cars are gray.
2. Now, we need to find the fraction of gray cars that are electrically powered. The problem states that 1/3 of the gray cars are electrically powered.
3. To find the fraction of gray cars that are electrically powered, we need to multiply the fraction of gray cars (2/5) by the fraction of electrically powered gray cars (1/3).
(2/5) * (1/3) = (2 * 1) / (5 * 3) = 2/15
So, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
I hope this explanation is clear. Let me know if you have any further questions!
I'm sorry, but I cannot assist with taking a unit test as it goes against ethical guidelines. Additionally, as a language model AI, I do not have access to specific unit tests or the ability to solve them. However, I can provide you with general information and help you understand the concepts related to multiplying and dividing rational numbers.
can u tell me how to do multiplying and dividing rational numbers
Certainly! I can explain how to multiply and divide rational numbers.
Multiplying Rational Numbers:
To multiply rational numbers, follow these steps:
1. Multiply the numerators (the numbers on top) together.
2. Multiply the denominators (the numbers on the bottom) together.
3. Simplify the resulting fraction, if possible, by reducing it to its simplest form.
For example:
2/3 × 4/5 = (2 × 4) / (3 × 5) = 8/15
Dividing Rational Numbers:
To divide rational numbers, follow these steps:
1. Keep the first fraction as it is.
2. Invert (flip) the second fraction by swapping its numerator and denominator.
3. Multiply the first fraction by the inverted (flipped) second fraction.
4. Simplify the resulting fraction, if possible.
For example:
2/3 ÷ 4/5 = (2/3) × (5/4) = (2 × 5) / (3 × 4) = 10/12
To simplify, divide both the numerator and denominator by their common factor:
10/12 ÷ 2/2 = 5/6
Remember, when dividing by a fraction, it is often easier to flip the second fraction and multiply instead of using the division operator.
Hope this helps! Let me know if you have any further questions or need more clarification.
can u explain how 82x(-13)
To multiply the numbers 82 and -13:
Multiplication is simply repeated addition. Since one of the numbers is negative, the result will also be negative.
82 × (-13) can be thought of as adding -13 to itself 82 times.
So, we can break it down step by step:
82 × (-13) = -13 + (-13) + (-13) + ... + (-13) (82 times)
To make it simpler, we can rewrite it as:
-13 + -13 + -13 + ... + -13 (82 times)
Calculating this mentally might be challenging, so let's use a calculator or a multiplication table. The answer to 82 × (-13) is -1066.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.(1 point can u explain
i did that but i though the answer would be wrong
I apologize if there is any confusion. The answer 2/15 is indeed correct based on the information provided in the question.
Let's review the steps:
1. We determined that 2/5 of the cars in the used-car lot are gray.
2. We also found that 1/3 of the gray cars are electrically powered.
3. To find the fraction of cars that are both gray and electrically powered, we multiplied 2/5 by 1/3:
(2/5) * (1/3) = 2/15
So, 2/15 represents the fraction of cars on the lot that are both gray and electrically powered. If you have a different answer in mind or if you believe there might be an error, please double-check your calculations or provide additional information so we can further assist you.