Question

explore area and mixed numbers. use tools marisol hangs a painting on the wall. what is the area of the painting? use the rectangle to draw an area model. then solve the problems. use the rectangle to draw an area model to find the product. 2 1/2×3 1/2

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ and $3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}$

Step2: Multiply the improper fractions

$\frac{5}{2}\times\frac{7}{2}=\frac{5\times7}{2\times2}=\frac{35}{4}$

Step3: Convert the improper fraction back to a mixed - number

$\frac{35}{4}=8\frac{3}{4}$

Answer:

$8\frac{3}{4}$