im sorry im asking another question lol
are 4/6 and 14/21 equivalent ratios?
i did 6 x 3.5 and it came up with 21, and 4 x 3.5 and it came up with 14, so i'm guessing it is but i'm mostly having trouble with how to explain it because this is a short essay answer type thing
here's the full question:
Use cross products to demonstrate whether the two ratios are equivalent: 4/6 and 14/21.
basically i just dont know what using cross products means, im a little on the uneducated side with ratios at the moment
thank you!
Let's do it a simpler way.
4/6 in its simplest form is 2/3
14/21 in its simplest form is 2/3. (Divide both the numerator and denominator by 7)
You are very welcome.
Can someone help me a little more with this question?
thank you! that helps alot
No problem! I'm here to help you understand. To determine if two ratios are equivalent, you can use cross products. The cross products of a ratio are obtained by multiplying the numerator of one ratio by the denominator of the other ratio.
Let's use the given ratios: 4/6 and 14/21.
To find the cross products, we multiply 4 (numerator of the first ratio) by 21 (denominator of the second ratio) and 6 (denominator of the first ratio) by 14 (numerator of the second ratio).
4 x 21 = 84
6 x 14 = 84
By multiplying the cross products, we obtain the same result, which is 84 in this case. When the cross products of two ratios are equal, the ratios are considered equivalent.
Therefore, the ratios 4/6 and 14/21 are indeed equivalent.
To summarize your explanation:
1. Start by stating the given ratios: 4/6 and 14/21.
2. Explain that to determine if the ratios are equivalent, we use cross products.
3. Define cross products as multiplying the numerator of one ratio by the denominator of the other ratio.
4. Show the calculation of the cross products: 4 x 21 = 84 and 6 x 14 = 84.
5. Emphasize that since the cross products are equal (84 in this case), the ratios are considered equivalent.
I hope this explanation helps you understand how to use cross products and how to address the question! If you have any further questions, feel free to ask.