Write the ratio in lowest terms in order to decide whether the proportion is true or false.
44/12=105/21
To simplify the ratio 44/12, we divide both the numerator and the denominator by their greatest common divisor, which is 4.
44 ÷ 4 = 11
12 ÷ 4 = 3
So the simplified ratio is 11/3.
Similarly, to simplify the ratio 105/21, we divide both the numerator and the denominator by their greatest common divisor, which is 21.
105 ÷ 21 = 5
21 ÷ 21 = 1
So the simplified ratio is 5/1.
Therefore, the proportion 44/12 = 105/21 is true since both ratios simplify to the same value of 11/3.
you lied
Apologies for any confusion caused. Let's calculate the ratios correctly.
44/12 = 11/3
105/21 = 5/1
Since these simplified ratios are not equal (11/3 is not equal to 5/1), the proportion 44/12 = 105/21 is false.
To determine if the proportion is true or false, we need to write the ratio in its lowest terms. To do this, we need to simplify both sides of the equation.
Let's simplify the left-hand side (LHS) first:
44/12 = 22/6 = 11/3
Now, let's simplify the right-hand side (RHS):
105/21 = 5/1
The ratio 5/1 is already in its simplest form.
So, the simplified ratio for the given proportion is:
LHS: 11/3
RHS: 5/1
Now, we can compare the two ratios. If they are equal, then the proportion is true; if not, it's false.
11/3 is not equal to 5/1, therefore the proportion 44/12=105/21 is false.