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15. solve: $\frac{7}{3}=\frac{4}{x}$ 17. convert 0.034 to a simplified …

Question

  1. solve: $\frac{7}{3}=\frac{4}{x}$
  2. convert 0.034 to a simplified fraction and a percent.

Explanation:

Step1: Cross-multiply to isolate x

$7x = 3 \times 4$

Step2: Calculate right-hand side product

$7x = 12$

Step3: Solve for x by division

$x = \frac{12}{7}$

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Step1: Convert decimal to fraction

$0.034 = \frac{34}{1000}$

Step2: Simplify the fraction

$\frac{34 \div 2}{1000 \div 2} = \frac{17}{500}$

Step3: Convert decimal to percent

$0.034 \times 100 = 3.4\%$

Answer:

  1. $x = \frac{12}{7}$
  2. Simplified fraction: $\frac{17}{500}$, Percent: $3.4\%$