4. Which of these statements are proportional? a. 2/3 = 4/6 b. 2/1= 5/10 c. 3/6= 4/2 d. 7/14=50/100
a. 2/3 = 4/6 is proportional because both fractions can be simplified to 2/3.
b. 2/1 = 5/10 is not proportional because the fractions cannot be simplified to be equal.
c. 3/6 = 4/2 is not proportional because the fractions cannot be simplified to be equal.
d. 7/14 = 50/100 is not proportional because the fractions can be simplified to 1/2 and 1/2, respectively.
To determine which of these statements are proportional, we need to compare the fractions on both sides of the equation and check if they are equal.
Let's go through each statement:
a. 2/3 = 4/6
To check if they are proportional, we cross multiply:
2 * 6 = 3 * 4
12 = 12
Since both sides are equal, statement a is proportional.
b. 2/1 = 5/10
Cross multiplying gives us:
2 * 10 = 1 * 5
20 ≠ 5
Since the two sides are not equal, statement b is not proportional.
c. 3/6 = 4/2
Cross multiplying gives us:
3 * 2 = 6 * 4
6 ≠ 24
Since the two sides are not equal, statement c is not proportional.
d. 7/14 = 50/100
Cross multiplying gives us:
7 * 100 = 14 * 50
700 = 700
Since both sides are equal, statement d is proportional.
In summary, the statements that are proportional are: a. 2/3 = 4/6 and d. 7/14 = 50/100.
To determine which of these statements are proportional, we need to check if the fractions on both sides of the equation are equal. Let's go through each statement one by one.
a. 2/3 = 4/6
To check if these fractions are proportional, we need to simplify both sides of the equation. In this case, we can simplify 2/3 to 2/3 and 4/6 to 2/3 as well. Both fractions are equal, so statement a is proportional.
b. 2/1 = 5/10
Again, we need to simplify both sides of the equation. The fraction 2/1 is already in its simplest form. However, 5/10 can be simplified to 1/2. Since 2/1 is not equal to 1/2, statement b is not proportional.
c. 3/6 = 4/2
Let's simplify both sides. 3/6 can be simplified to 1/2, and 4/2 is already simplified to 2/1. These fractions are not equal, so statement c is not proportional.
d. 7/14 = 50/100
Again, we simplify both sides of the equation. 7/14 can be simplified to 1/2, and 50/100 can be simplified to 1/2 as well. These fractions are equal, so statement d is proportional.
So, the statements that are proportional are a. 2/3 = 4/6 and d. 7/14 = 50/100.