12. \( \frac{7}{8} x=49 \)

To solve the equation \( \frac{7}{8} x = 49 \), you can start by getting rid of the fraction. Multiply both sides of the equation by the reciprocal of \( \frac{7}{8} \), which is \( \frac{8}{7} \). This gives you: \[ x = 49 \cdot \frac{8}{7} \] Now, calculate the right side: \[ 49 \cdot \frac{8}{7} = 49 \cdot 1.142857 \approx 56 \] Thus, \( x = 56 \). --- Did you know that fractions, like the one in your equation, were used by ancient cultures such as the Egyptians and the Babylonians? They developed various methods to represent and work with fractions thousands of years ago, laying the groundwork for modern mathematics! Mathematics is not just about numbers—it's a world full of patterns and puzzles. One common mistake when solving equations like this is neglecting to multiply by the reciprocal. Always remember to clear fractions carefully, or you might end up with the wrong answer!