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11. find the area. a = lw 6\\frac{2}{7} 3\\frac{3}{4} type a response

Question

  1. find the area.

a = lw
6\frac{2}{7}
3\frac{3}{4}
type a response

Explanation:

Step1: Convert mixed numbers to improper fractions

$6\frac{2}{7}=\frac{6\times7 + 2}{7}=\frac{44}{7}$,$3\frac{3}{4}=\frac{3\times4+3}{4}=\frac{15}{4}$

Step2: Calculate the area using the formula $A = LW$

$A=\frac{44}{7}\times\frac{15}{4}$

Step3: Simplify the multiplication

$\frac{44}{7}\times\frac{15}{4}=\frac{44\div4}{7}\times\frac{15}{1}=\frac{11}{7}\times15=\frac{165}{7} = 23\frac{4}{7}=\frac{273}{14}$

Answer:

$\frac{273}{14}$