Question

what is the area of the rectangle? 3\frac{1}{8} yd. 1\frac{1}{2} yd. square yards fraction mixed number whole number

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{1}{8}=\frac{3\times8 + 1}{8}=\frac{25}{8}$ and $1\frac{1}{2}=\frac{1\times2+1}{2}=\frac{3}{2}$

Step2: Use the area formula for a rectangle

The area formula of a rectangle is $A = l\times w$. Here, $l=\frac{25}{8}$ and $w = \frac{3}{2}$, so $A=\frac{25}{8}\times\frac{3}{2}=\frac{25\times3}{8\times2}=\frac{75}{16}$

Step3: Convert the improper fraction to a mixed - number

$\frac{75}{16}=4\frac{11}{16}$

Answer:

$4\frac{11}{16}$