QuestionSolve for in. $\frac{1 y}{12}=\frac{6}{8}$
Simnilix your answer as much as possible. $\mathrm{w}=$

Studdy Solution

STEP 1

1. The equation is $\frac{w}{12} = \frac{6}{8}$ .
2. We need to solve for $w$ and simplify the answer.

STEP 2

1. Simplify the fraction $\frac{6}{8}$ .
2. Solve for $w$ .

STEP 3

Simplify $\frac{6}{8}$ by dividing the numerator and the denominator by their greatest common divisor, which is 2:
$\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}$

STEP 4

Set the simplified fraction equal to $\frac{w}{12}$ :
$\frac{w}{12} = \frac{3}{4}$
Cross-multiply to solve for $w$ :
$4w = 3 \times 12$
$4w = 36$
Divide both sides by 4 to isolate $w$ :
$w = \frac{36}{4}$
$w = 9$
The value of $w$ is:
$\boxed{9}$

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