Math / Algebra

QuestionSolve for $u$ . $\frac{u}{9}=\frac{4}{6}$
Simplify your answer as much as possible. $u=$ $\square$
$\times$ 5 $\square$ Explanation Check hD

Studdy Solution

STEP 1

1. The equation $\frac{u}{9} = \frac{4}{6}$ is a proportion.
2. We need to solve for $u$ .
3. The solution involves basic algebraic operations, specifically multiplication and simplification of fractions.

STEP 2

1. Simplify the fraction on the right-hand side.
2. Solve for $u$ by performing algebraic operations.
3. Simplify the expression for $u$ .

STEP 3

Simplify the fraction on the right-hand side of the equation:
$\frac{4}{6} = \frac{2}{3}$

STEP 4

Now, the equation becomes:
$\frac{u}{9} = \frac{2}{3}$
To solve for $u$ , multiply both sides by 9 to isolate $u$ :
$u = 9 \times \frac{2}{3}$

STEP 5

Simplify the right-hand side:
$u = \frac{18}{3}$

STEP 6

Simplify the expression for $u$ :
$u = 6$
The solution is:
$u = \boxed{6}$

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QuestionSolve for $u$ . $\frac{u}{9}=\frac{4}{6}$
Simplify your answer as much as possible. $u=$ $\square$
$\times$ 5 $\square$ Explanation Check hD

Studdy Solution

STEP 1

1. The equation $\frac{u}{9} = \frac{4}{6}$ is a proportion.
2. We need to solve for $u$ .
3. The solution involves basic algebraic operations, specifically multiplication and simplification of fractions.

STEP 2

1. Simplify the fraction on the right-hand side.
2. Solve for $u$ by performing algebraic operations.
3. Simplify the expression for $u$ .

STEP 3

Simplify the fraction on the right-hand side of the equation:
$\frac{4}{6} = \frac{2}{3}$

STEP 4

Now, the equation becomes:
$\frac{u}{9} = \frac{2}{3}$
To solve for $u$ , multiply both sides by 9 to isolate $u$ :
$u = 9 \times \frac{2}{3}$

STEP 5

Simplify the right-hand side:
$u = \frac{18}{3}$

STEP 6

Simplify the expression for $u$ :
$u = 6$
The solution is:
$u = \boxed{6}$

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QuestionSolve for uuu. u9=46\frac{u}{9}=\frac{4}{6}9u​=64​Simplify your answer as much as possible. u=u=u= □\square□×\times× 5 □\square□ Explanation Check hD

Studdy Solution

STEP 1

1. The equation u9=46 \frac{u}{9} = \frac{4}{6} 9u​=64​ is a proportion.2. We need to solve for u u u.3. The solution involves basic algebraic operations, specifically multiplication and simplification of fractions.

STEP 2

1. Simplify the fraction on the right-hand side.2. Solve for u u u by performing algebraic operations.3. Simplify the expression for u u u.

STEP 3

Simplify the fraction on the right-hand side of the equation:46=23 \frac{4}{6} = \frac{2}{3} 64​=32​

STEP 4

Now, the equation becomes:u9=23 \frac{u}{9} = \frac{2}{3} 9u​=32​To solve for u u u, multiply both sides by 9 to isolate u u u:u=9×23 u = 9 \times \frac{2}{3} u=9×32​

STEP 5

Simplify the right-hand side:u=183 u = \frac{18}{3} u=318​

STEP 6

Simplify the expression for u u u:u=6 u = 6 u=6 The solution is:u=6 u = \boxed{6} u=6​

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QuestionSolve for $u$ . $\frac{u}{9}=\frac{4}{6}$
Simplify your answer as much as possible. $u=$ $\square$
$\times$ 5 $\square$ Explanation Check hD

1. The equation $\frac{u}{9} = \frac{4}{6}$ is a proportion.
2. We need to solve for $u$ .
3. The solution involves basic algebraic operations, specifically multiplication and simplification of fractions.

1. Simplify the fraction on the right-hand side.
2. Solve for $u$ by performing algebraic operations.
3. Simplify the expression for $u$ .

Simplify the fraction on the right-hand side of the equation:
$\frac{4}{6} = \frac{2}{3}$

Now, the equation becomes:
$\frac{u}{9} = \frac{2}{3}$
To solve for $u$ , multiply both sides by 9 to isolate $u$ :
$u = 9 \times \frac{2}{3}$

Simplify the right-hand side:
$u = \frac{18}{3}$

Simplify the expression for $u$ :
$u = 6$
The solution is:
$u = \boxed{6}$