What is the value of x in the proportion StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction?
What is the value of StartFraction negative 8 (17 minus 12) over Negative 2 (8 minus (negative 2)) EndFraction?
To find the value of x in the given proportion, we need to equate the fractions on both sides of the equation.
The given proportion is:
StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction
To simplify the fractions, we'll convert the mixed numbers to improper fractions:
StartFraction 9/4 over x EndFraction = StartFraction 3/2 over 18/5 EndFraction
Now, to solve for x, we can cross-multiply:
9/4 * 18/5 = 3/2 * x
To multiply fractions, we multiply the numerators together and the denominators together:
(9 * 18) / (4 * 5) = (3 * x) / 2
162/20 = 3x/2
Next, we'll simplify the fractions on both sides:
8.1 = 1.5x
To solve for x, we divide both sides by 1.5:
8.1 / 1.5 = x
x ≈ 5.4
Therefore, the value of x in the given proportion is approximately 5.4.
geez -- ever hear of using actual math?
(2 1/4)/x = (1 1/2)/(3 3/5)
(9/4)/x = (3/2)/(18/5) = 3/2 * 5/18 = 15/36
x = 9/4 * 36/15 = 27/5 = 5 2/5