Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. $\frac{7}{4}=\frac{w - 4}{8}$

Question

  1. $\frac{7}{4}=\frac{w - 4}{8}$

Explanation:

Step1: Cross - multiply

$7\times8 = 4\times(w - 4)$

Step2: Simplify left - hand side

$56=4\times(w - 4)$

Step3: Distribute on right - hand side

$56 = 4w-16$

Step4: Add 16 to both sides

$56 + 16=4w-16 + 16$
$72 = 4w$

Step5: Divide both sides by 4

$\frac{72}{4}=\frac{4w}{4}$
$w = 18$

Answer:

$w = 18$