14. \( \frac{3}{7}=\frac{}{28} \)

To solve \( \frac{3}{7}=\frac{x}{28} \), we can use cross-multiplication. Multiply the numerator of the first fraction by the denominator of the second: \( 3 \times 28 \), which equals 84. Now, multiply the denominator of the first fraction by the numerator of the second: \( 7 \times x \). Set them equal to each other: \( 3 \times 28 = 7x \). This gives us \( 84 = 7x \). To find \( x \), divide both sides by 7: \( x = \frac{84}{7} = 12 \). So, \( \frac{3}{7}=\frac{12}{28} \). Additionally, fractions can be simplified! For example, while \( \frac{12}{28} \) simplifies to \( \frac{3}{7} \), understanding this can help solidify your grasp on fraction equivalencies. Using fractions in real life is as easy as pie—quite literally! When preparing recipes, adjusting servings often means manipulating fractions. If you’re making a dish that serves 7 people and want to adjust it to serve 28, knowing conversion between these fractions can save you from accidentally making too much or too little.