Determine if one, both, or neither of the following is a proportion. 168=?2412, 84=?126(1 point)
Responses
Neither is a proportion.
Neither is a proportion.
84=126 only
Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction only
168=2412 only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only
168=2412, 84=126
Neither is a proportion.
To determine if one, both, or neither of the given equations is a proportion, we need to check if the ratios on both sides of the equation are equal.
Let's start with the equation 168 = 2412.
To check if this is a proportion, we can simplify both sides of the equation by dividing both numbers by their greatest common divisor (GCD). The GCD of 168 and 2412 is 12, so dividing both numbers by 12 gives us:
168 ÷ 12 = 14
2412 ÷ 12 = 201
Now we have 14 = 201, which is not true. Therefore, the equation 168 = 2412 is not a proportion.
Now let's move on to the equation 84 = 126.
To check if this is a proportion, we can again simplify both sides of the equation by dividing both numbers by their GCD. The GCD of 84 and 126 is 42, so dividing both numbers by 42 gives us:
84 ÷ 42 = 2
126 ÷ 42 = 3
Now we have 2 = 3, which is also not true. Therefore, the equation 84 = 126 is not a proportion.
In conclusion, neither of the given equations, 168 = 2412 and 84 = 126, is a proportion.
To determine if one, both, or neither of the following is a proportion, we need to check if the ratios are equal.
Let's first check the first pair: 168 = 2412.
To see if this is a proportion, we can simplify both sides of the equation. Dividing both numbers by 12, we get:
168 ÷ 12 = 2412 ÷ 12
14 = 201
Since 14 is not equal to 201, the first pair (168 = 2412) is not a proportion.
Now let's check the second pair: 84 = 126.
To see if this is a proportion, we can simplify both sides of the equation. Dividing both numbers by 42, we get:
84 ÷ 42 = 126 ÷ 42
2 = 3
Again, since 2 is not equal to 3, the second pair (84 = 126) is not a proportion.
Therefore, neither of the given pairs is a proportion.