determine which ratio forms a porportion with 24/28 by writing the ratio in simplest form
A( 3/4
B( 4/6
C( 4/7
D( 7/9
Actually, the choice for B) is 6/7, not 4/6.
The answer is not found in the choices.
The correct answer is 6/7.
90+90=180
WHATEVER!
To determine which ratio forms a proportion with 24/28, we need to find a ratio that is equivalent to 24/28 when simplified to its simplest form.
To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. This will give you the simplified fraction.
Let's simplify 24/28 first:
The GCD of 24 and 28 is 4.
Dividing both the numerator and denominator by 4, we get:
24/4 = 6
28/4 = 7
Therefore, the simplified form of 24/28 is 6/7.
Now, let's check which ratio from the options is equivalent to 6/7:
A) 3/4: To check if both fractions are equivalent, we multiply the numerator of one fraction by the denominator of the other. If the results are the same, the fractions are equivalent.
(6 * 4) = 24
(7 * 3) = 21
Since 24 is not equal to 21, 3/4 does not form a proportion with 24/28.
B) 4/6: Simplifying this fraction, we get 2/3.
To check if 2/3 is equivalent to 6/7:
(2 * 7) = 14
(3 * 6) = 18
Since 14 is not equal to 18, 4/6 does not form a proportion with 24/28.
C) 4/7: This fraction is the same as the simplified form of 24/28.
To check if 4/7 is equivalent to 6/7:
(4 * 7) = 28
(7 * 6) = 42
Since 28 is not equal to 42, 4/7 does not form a proportion with 24/28.
D) 7/9: To check if 7/9 is equivalent to 6/7:
(7 * 7) = 49
(6 * 9) = 54
Since 49 is not equal to 54, 7/9 does not form a proportion with 24/28.
Therefore, none of the given ratios form a proportion with 24/28.