Question

rs market, destiny bought 4 1/2 pounds of string beans and 2 3/12 pounds how many more pounds of string beans did destiny purchase? answer as a fraction or as a whole or mixed number. pounds

Explanation:

Step1: Convert mixed numbers to fractions

First, convert \(4\frac{1}{2}\) to an improper fraction. \(4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}\). Then, simplify \(2\frac{3}{12}\). The fraction \(\frac{3}{12}\) simplifies to \(\frac{1}{4}\), so \(2\frac{3}{12}=2\frac{1}{4}=\frac{2\times4+1}{4}=\frac{9}{4}\).

Step2: Find a common denominator and subtract

The common denominator of 2 and 4 is 4. So, \(\frac{9}{2}=\frac{9\times2}{2\times2}=\frac{18}{4}\). Now subtract \(\frac{9}{4}\) from \(\frac{18}{4}\): \(\frac{18}{4}-\frac{9}{4}=\frac{18 - 9}{4}=\frac{9}{4}\). Convert \(\frac{9}{4}\) back to a mixed number: \(\frac{9}{4}=2\frac{1}{4}\).

Answer:

\(2\frac{1}{4}\)