Solved on Feb 15, 2024

Solve for $w$ where $\frac{3}{9}=\frac{w}{12}$ . Simplify the solution $w$ as much as possible.

STEP 1

Assumptions
1. We are given a proportion: $\frac{3}{9} = \frac{w}{12}$ .
2. We need to solve for the variable $w$ .

STEP 2

To solve for $w$ , we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$3 \times 12 = 9 \times w$

STEP 3

Perform the multiplication on the left side of the equation.
$36 = 9 \times w$

STEP 4

To isolate $w$ , we need to divide both sides of the equation by 9.
$\frac{36}{9} = \frac{9 \times w}{9}$

STEP 5

Simplify both sides of the equation. On the right side, the 9's cancel out, leaving $w$ by itself.
$4 = w$

STEP 6

We have found the value of $w$ .
$w' = 4$

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Solve for $w$ where $\frac{3}{9}=\frac{w}{12}$ . Simplify the solution $w$ as much as possible.

STEP 1

Assumptions
1. We are given a proportion: $\frac{3}{9} = \frac{w}{12}$ .
2. We need to solve for the variable $w$ .

STEP 2

To solve for $w$ , we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$3 \times 12 = 9 \times w$

STEP 3

Perform the multiplication on the left side of the equation.
$36 = 9 \times w$

STEP 4

To isolate $w$ , we need to divide both sides of the equation by 9.
$\frac{36}{9} = \frac{9 \times w}{9}$

STEP 5

Simplify both sides of the equation. On the right side, the 9's cancel out, leaving $w$ by itself.
$4 = w$

STEP 6

We have found the value of $w$ .
$w' = 4$

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Solve for www where 39=w12\frac{3}{9}=\frac{w}{12}93​=12w​. Simplify the solution www as much as possible.

STEP 1

Assumptions1. We are given a proportion: 39=w12\frac{3}{9} = \frac{w}{12}93​=12w​.2. We need to solve for the variable www.

STEP 2

To solve for www, we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.3×12=9×w3 \times 12 = 9 \times w3×12=9×w

STEP 3

Perform the multiplication on the left side of the equation.36=9×w36 = 9 \times w36=9×w

STEP 4

To isolate www, we need to divide both sides of the equation by 9.369=9×w9\frac{36}{9} = \frac{9 \times w}{9}936​=99×w​

STEP 5

Simplify both sides of the equation. On the right side, the 9's cancel out, leaving www by itself.4=w4 = w4=w

STEP 6

We have found the value of www.w′=4w' = 4w′=4

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $w$ where $\frac{3}{9}=\frac{w}{12}$ . Simplify the solution $w$ as much as possible.

Assumptions
1. We are given a proportion: $\frac{3}{9} = \frac{w}{12}$ .
2. We need to solve for the variable $w$ .

To solve for $w$ , we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$3 \times 12 = 9 \times w$

Perform the multiplication on the left side of the equation.
$36 = 9 \times w$

To isolate $w$ , we need to divide both sides of the equation by 9.
$\frac{36}{9} = \frac{9 \times w}{9}$

Simplify both sides of the equation. On the right side, the 9's cancel out, leaving $w$ by itself.
$4 = w$

We have found the value of $w$ .
$w' = 4$