Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use cross products to demonstrate whether or not the two ratios are equivalent:
4
6
and
14
21
.
4/6 = 14/21 When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator 4×21 = 6×14 84=84 They are equivalent because they both equal 84
THEY ARE
first, learn to type fractions. You want to see whether
4/6 = 14/21
So what's the problem? Use the cross-product to see whether
6*14 = 4*21
Does it?
you just cross mulitply
this is easier than I thought :p
To determine if the two ratios are equivalent, we can use the concept of cross products.
The cross product of two ratios is obtained by multiplying the numerator of one ratio by the denominator of the other ratio. If the cross products are equal, then the ratios are equivalent.
Let's apply this concept to the given ratios:
Ratio 1: 4/6
Ratio 2: 14/21
The cross product of Ratio 1 is obtained by multiplying the numerator (4) by the denominator of Ratio 2 (21):
Cross Product of Ratio 1: 4 * 21 = 84
The cross product of Ratio 2 is obtained by multiplying the numerator (14) by the denominator of Ratio 1 (6):
Cross Product of Ratio 2: 14 * 6 = 84
Since the cross products of both ratios are equal (84), we can conclude that the two ratios are equivalent.