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?
2 and two-fifths
5 and two-fifths
8 and StartFraction 1 over 10 EndFraction
12 and StartFraction 3 over 20 EndFraction
Which pair of ratios can form a true proportion?
A. seven fourths, Start Fraction 21 over 12 End Fraction
B. Start Fraction 6 over 3 End Fraction, start fraction 5 over 6 end fraction
C. start fraction 7 over 10 end fraction, start fraction 6 over 7 end fraction
D. start fraction 3 over 5 end fraction, start fraction 7 over 12 end fraction
bro y geometry gotta be so hardðŸ˜
To find the value of x in the proportion, we need to solve the equation:
StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction
To simplify the equation, let's convert all the mixed numbers into improper fractions:
StartFraction 9/4 over x EndFraction = StartFraction 3/2 over 18/5 EndFraction
Next, we can simplify the fractions by multiplying the numerators across and the denominators across:
StartFraction (9/4) * (18/5) = (3/2) * x EndFraction
The next step is to perform the multiplications:
StartFraction 81/20 = 3x/2 EndFraction
Now, we can cross-multiply to solve for x:
(81/20) * 2 = 3x
Multiply both sides by 20/2:
81 * 10/1 = 3x
810 = 3x
Finally, divide both sides by 3 to isolate x:
810/3 = x
x = 270
Therefore, the value of x in the proportion is 270.
just type the fractions already!
(2 1/4)/x = (1 1/2)/(3 3/5)
x = 9/4 * 18/5 * 2/3 = 27/5