c. Convert the following mixed number into an improper fraction. Simplify your answer and express it in lowest terms, if applicable. \( -7 \frac{1}{2}= \) Enter any negative signs in the numerator

To convert the mixed number \( -7 \frac{1}{2} \) into an improper fraction, first multiply the whole number by the denominator: \( 7 \times 2 = 14 \). Then, add the numerator: \( 14 + 1 = 15 \). Since it’s negative, your improper fraction is \( -\frac{15}{2} \). It's already simplified, so that's your final answer! Improper fractions might seem tricky, but they can be super helpful for calculations, especially in algebra! They allow you to work with values that may not fit nicely in the traditional whole-number format, which is great when you're tackling equations or comparing sizes of fractions. Mistakes often occur when people forget to apply the negative sign correctly. Always ensure that the sign of the whole number in the mixed number carries over when you convert it to an improper fraction. This prevents confusion when performing further calculations or trying to simplify. Happy fractioning!