Question

A window is 8 2/3 feet wide and 5 3/4 feet high what is the area of the window

Answer 1

let's firstly convert the mixed fractions to improper fractions, then multiply.

`\stackrel{mixed}{8(2)/(3)}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}}~\hfill \stackrel{mixed}{5(3)/(4)} \implies \cfrac{5\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{23}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{26}{3}\cdot \cfrac{23}{4}\implies \cfrac{26}{4}\cdot \cfrac{23}{3}\implies \cfrac{13}{2}\cdot \cfrac{23}{3}\implies \cfrac{299}{6}\implies 49(5)/(6)~ft^2`

Answer 2

I worked this out & I got a horribly messy number, but if you still want it, here you go.

The answer I got is 49.833333333333333333333333333333, or
49 833333333333333333333333333333/100000000000000000000000000000.

I could not simplify it. Hopefully, your teacher accepts this.