Question

1. find the area.

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

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 \(A = LW\)

\(A=\frac{44}{7}\times\frac{15}{4}\)
\(A=\frac{44\times15}{7\times4}\)
Cancel out the common factor of \(4\) in the numerator \(44\) and denominator \(4\) (since \(44\div4 = 11\) and \(4\div4=1\))
\(A=\frac{11\times15}{7\times1}=\frac{165}{7}=\frac{273}{14}\) (if we want to write it as an equivalent fraction with denominator \(14\), \(\frac{165\times2}{7\times2}=\frac{273}{14}\))

Answer:

\(\frac{273}{14}\)