Subtract as indicated. Write all answers in lowest terms \[ \frac{5}{7 w}-\frac{2}{3 w} \]

Calculate or simplify the expression \( \frac{5}{7w}-\frac{2}{3w} \). Simplify the expression by following steps: - step0: Solution: \(\frac{5}{7w}-\frac{2}{3w}\) - step1: Reduce fractions to a common denominator: \(\frac{5\times 3}{7w\times 3}-\frac{2\times 7}{3w\times 7}\) - step2: Multiply the numbers: \(\frac{5\times 3}{21w}-\frac{2\times 7}{3w\times 7}\) - step3: Multiply the numbers: \(\frac{5\times 3}{21w}-\frac{2\times 7}{21w}\) - step4: Transform the expression: \(\frac{5\times 3-2\times 7}{21w}\) - step5: Multiply the numbers: \(\frac{15-2\times 7}{21w}\) - step6: Multiply the numbers: \(\frac{15-14}{21w}\) - step7: Subtract the numbers: \(\frac{1}{21w}\) The result of subtracting as indicated is \(\frac{1}{21w}\).