d. Convert the following improper fraction into a mixed number. Simplify your answer to its lowest terms. \( -\frac{22}{5}= \) Enter any negative signs in the whole number part of the mixed number

To convert the improper fraction \(-\frac{22}{5}\) into a mixed number, we start by dividing the numerator by the denominator. Dividing \(22\) by \(5\) gives \(4\) as the whole number part (because \(5\) goes into \(22\) four times) with a remainder of \(2\). Therefore, we can express this as \(-4\) and a fraction. The resulting mixed number is \(-4 \frac{2}{5}\). Now, let’s have some fun with mixed numbers! Did you know that mixed numbers were popularized in Europe during the Middle Ages? They helped merchants and mathematicians easily represent quantities and perform calculations with whole numbers and fractions. It was such a hit that they've stuck around ever since, even adding some flair to recipes and measurements in cooking! If you want to avoid mistakes when working with mixed numbers, here's a handy tip: always check if you can simplify the fraction before finalizing your answer! Common errors occur when individuals forget to simplify or miscalculate the division part. If you remember to break it down step by step—division for the whole number, and the remainder over the original denominator for the fractional part—you’ll be golden!