Question

Can someone help me out with this please? I suck at fractions

The baseboard will not go across the doorway of the room which is 2 ¼ feet wide.
a. Taking into account the doorway, calculate the new length of baseboard needed for the room

b. The hardware store sells the baseboards in 8 foot lengths. How many boards need to be purchased to install new baseboards in the room?

Answer 1

164 inches x $\frac{1 foot}{12 inches}$ = $\frac{41}{3}$ft

147 inches x $\frac{1 foot}{12 inches}$ = $\frac{49}{4}$ft

2$\frac{1}{4}$ft = $\frac{9}{4}$

Perimeter = 2L + 2w - 1doorway

                 = 2$(\frac{41}{3})$ + 2($(\frac{49}{4})$ - $\frac{9}{4}$

                = $\frac{82}{3}$ + $\frac{98}{4}$ - $\frac{9}{4}$

                = $\frac{82}{3}$ + $\frac{89}{4}$

                 = $(\frac{4}{4} )$$\frac{82}{3}$ + $(\frac{3}{3} )$$\frac{89}{4}$

                 = $\frac{328}{12}$ + $\frac{267}{12}$

                 = $\frac{595}{12}$

                = 49$\frac{7}{12}$ft

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b) 49$\frac{7}{12}$ft ÷ 8ft = 6.2

7 boards need to be purchased