Solve the equation.
3one-fourthx = 7three-sevenths
A. start fraction 7 over 16 end fraction
B. 1The fraction is 5 over 7.
C. two and two-sevenths
D. 4Start Fraction 5 over 28 End Fraction
I need help :[
Simply both sides into fractions,
13 / 4 x = 52 / 7
Now multiply both sides by the reciprocal, or 4 / 13
4 / 13 * 13 / 4 x = 52 / 7 * 4 / 13
Once you get the answer, check your answer choices.
(413)*(134x)=(413)*(527)
To solve the equation 3 ¼x = 7 ⅗, we can start by converting the mixed numbers to improper fractions.
3 ¼ is equivalent to (3 * 4 + 1) / 4 = 13/4.
7 ⅗ is equivalent to (7 * 5 + 3) / 7 = 38/7.
Now, the equation becomes 13/4x = 38/7.
To solve for x, we need to isolate it by multiplying both sides of the equation by the reciprocal of 13/4, which is 4/13.
(13/4x) * (4/13) = (38/7) * (4/13).
This simplifies to x = (38/7) * (4/13).
Multiplying the numerators gives (38 * 4) = 152, and multiplying the denominators gives (7 * 13) = 91.
Therefore, x = 152/91.
To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor, which is 13.
152/13 ÷ 91/13 = 152/91 simplifies to 8/7.
Therefore, the solution to the equation 3 ¼x = 7 ⅗ is x = 8/7.
The answer is B. The fraction is 5 over 7.
To solve the equation 3/4x = 7/3, you need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of 3/4, which is 4/3. This will cancel out the fraction on the left side of the equation.
(3/4x) * (4/3) = (7/3) * (4/3)
Simplifying:
(3 * 4)/(4 * 3) * x = (7 * 4)/(3 * 3)
Step 2: Simplify the equation further.
12/12 * x = 28/9
1 * x = 28/9
x = 28/9
So, the solution to the equation is x = 28/9.
Now let's check the answer options:
A. 7/16: This is not the correct value.
B. 5/7: This is not the correct value either.
C. 2 and 2/7: This is not the solution in fractional or mixed number form.
D. 5/28: This is also not the correct value.
Therefore, none of the answer options provided are correct. The correct solution to the equation is x = 28/9.