If a carpenter uses a wooden board of length $7\frac{1}{4}$ feet and width $5\frac{2}{3}$ feet, will he be able to create a wooden board of area $24\frac{1}{12}$ square feet ?

The correct option is C Yes
Length of the wooden board $=4\frac{1}{4}$ ft
Width of the wooden board $=5\frac{2}{3}$ ft
Convert $4\frac{1}{4}and5\frac{2}{3}$ into standard fractions.
Length $=4\frac{1}{4}=\frac{4\times 4+1}{4}=\frac{17}{4}$ ft
Width$=5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}$ ft

Area of the board = length $\times$ width
$=\frac{17}{4}\times \frac{17}{3}$
$=\frac{17\times 17}{4\times 3}$
$=\frac{289}{12}$


Area of the board in mixed fraction=quotient$\frac{\text{reminder}}{\text{divisor}}=24\frac{1}{12}$ sq ft
Yes, the carpenter will be able to create a wooden board of area $24\frac{1}{12}$ sq ft.