Comments (6) on “Use diagram or the description of equivalent ratios to show that the ratios 2: 3,4: 6,and 8: 12 are”
4:6 and 8:12 are equivalent ratios to 2:3 as you can see in the diagram below
4:6
_2_ _2_
_2_ _2_ _2_
8:12
_4_ _4_
_4_ _4_ _4_
Step-by-step explanation:
The diagrams of equivalent ratios represent the initial relation, in the image you can see each value is in a box so as the initial relation is 2:3 we have two boxes in the first row and three on the second. Now we have to find a number that added the times of the box, give us the other ratios 4:6 and 8:12
4:6
_2_ _2_ = 4
_2_ _2_ _2_ = 6
As 4 is 2 times 2 and 6 is 3 times 2, 4:6 is an equivalent ratio to 2:3 where 2 is the constant.
8:12
_4_ _4_ = 8
_4_ _4_ _4_ =12
As 8 is 2 times 4 and 6 is 3 times 4, 8:12 is an equivalent ratio to 2:3 where 4 is the constant.
To calculate the constant you may divide each of the corresponding values for example 4 divided by 2 is 2 and 6 divided by 3 is 2 then the constant for 4:6 is 2.
In the case of 8:12, 8 divided by 2 is 4 and 12 divided by 6 is 4 then the constan for 8:12 is 4
[tex]Use diagrams or the description of equivalent ratios to show that the ratios 2: 3, 4: 6, and 8: 1[/tex]
If you multiply 2 by 2 and 3 by 2, you get 4:6. If you multiply 4 by 2 and 6 by 2, you get 8:12. As long as you are able to multiply the numerator and denominator by the same amount, the ratios are equivalent.
4:6 and 8:12 are equivalent ratios to 2:3 as you can see in the diagram below
4:6
_2_ _2_
_2_ _2_ _2_
8:12
_4_ _4_
_4_ _4_ _4_
Step-by-step explanation:
The diagrams of equivalent ratios represent the initial relation, in the image you can see each value is in a box so as the initial relation is 2:3 we have two boxes in the first row and three on the second. Now we have to find a number that added the times of the box, give us the other ratios 4:6 and 8:12
4:6
_2_ _2_ = 4
_2_ _2_ _2_ = 6
As 4 is 2 times 2 and 6 is 3 times 2, 4:6 is an equivalent ratio to 2:3 where 2 is the constant.
8:12
_4_ _4_ = 8
_4_ _4_ _4_ =12
As 8 is 2 times 4 and 6 is 3 times 4, 8:12 is an equivalent ratio to 2:3 where 4 is the constant.
To calculate the constant you may divide each of the corresponding values for example 4 divided by 2 is 2 and 6 divided by 3 is 2 then the constant for 4:6 is 2.
In the case of 8:12, 8 divided by 2 is 4 and 12 divided by 6 is 4 then the constan for 8:12 is 4
[tex]Use diagrams or the description of equivalent ratios to show that the ratios 2: 3, 4: 6, and 8: 1[/tex]
they are not equivalent because,2×2 is 4, 4×2 is 6, and 8×2 is 16.so they are not equivalent.
to be an equivalent all of them needs to be able to be multiplied by 2.
Taking 2:3 as a reference, you can get an equivalent ratio multiplying each member by some constant, for example multiplying by 2 we get:
2:3 = 2*2:3*2 = 4:6
Multiplying by 4 we get:
2:3 = = 2*4:3*4 = 8:12
Then, 2:3 4:6 and 8:12 are equivalent
9:24, 10:48, 11:56 you just go up one number on the left side of the semicolon and you multiply the right side by 2
If you multiply 2 by 2 and 3 by 2, you get 4:6. If you multiply 4 by 2 and 6 by 2, you get 8:12. As long as you are able to multiply the numerator and denominator by the same amount, the ratios are equivalent.
So
lets say we have
a/b=2a/2b
we know that if we invert one and multiply it by the other (divide them), we get 1 because a/a=1 where a=a
so
2/3 and 4/6 are equivelent because if you divide them we get 12/12=1
2/3 and 8/12 are equivilent because if you divide them we get 24/24=1
and sinde 2/3=4/6 and 2/3=8/12, 2/3=4/6=8/12
they are equivlent