fractions in the equation \( \frac{3}{5 x}-\frac{1}{x}=\frac{6}{20} \)

To solve the equation \( \frac{3}{5 x}-\frac{1}{x}=\frac{6}{20} \), it’s helpful to simplify both sides. First, notice that \( \frac{6}{20} \) simplifies to \( \frac{3}{10} \). This gives us \( \frac{3}{5 x} - \frac{1}{x} = \frac{3}{10} \). A common mistake here is forgetting to find a common denominator while combining fractions. For the left side, the common denominator would be \( 5x \), leading to \( \frac{3 - 5}{5 x} = \frac{-2}{5 x} \). Setting this equal to \( \frac{3}{10} \) will allow you to cross-multiply to solve for \( x \). Now, considering real-world applications, fractions play a key role in various fields such as cooking, construction, and finance. For instance, when following a recipe, you often need to adjust the quantities, which easily leads to using fractions. Whether you’re measuring ⅓ cup of sugar or dividing a pizza into slices, understanding fractions ensures perfect results and a harmonious kitchen experience!