Math  /  Algebra

QuestionSolve the following proportion for UU. u8=53\frac{u}{8}=\frac{5}{3}
Round your answer to the nearest ter u=u= \square

Studdy Solution

STEP 1

1. The given problem is a proportion equation.
2. The equation can be solved using cross-multiplication.
3. We need to isolate the variable u u .
4. The final answer should be rounded to the nearest integer.

STEP 2

1. Set up the proportion equation.
2. Use cross-multiplication to solve for u u .
3. Simplify the resulting equation.
4. Round the solution to the nearest integer.

STEP 3

Set up the proportion equation given in the problem.
u8=53\frac{u}{8} = \frac{5}{3}

STEP 4

Use cross-multiplication to solve for u u . Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa.
u3=58u \cdot 3 = 5 \cdot 8

STEP 5

Simplify the resulting equation to solve for u u .
3u=403u = 40

STEP 6

Divide both sides of the equation by 3 to isolate u u .
u=403u = \frac{40}{3}

STEP 7

Calculate the value of u u and round to the nearest integer.
u=40313.3333u = \frac{40}{3} \approx 13.3333
Rounded to the nearest integer:
u13u \approx 13
Solution: u=13u = 13

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