Question

judy has a piece of wood that is 4 5/8 feet long. she cuts off 3 feet 6 inches of the wood for a project. how much wood, in feet does she have left

Answer 1

there are 12 inches in 1 foot, so 6 inches is really just half a foot, thus 3'6" is really just 3.5' or 3½ feet.

now, let's convert those mixed fractions to improper fractions and then subtract, bearing in mind our LCD will be 8.

$\bf \stackrel{mixed}{4\frac{5}{8}}\implies \cfrac{4\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{45}{8}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)45~~-~~(4)7}{8}}\implies \cfrac{45-28}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}$

Answer 2

She has 1 and 1/8 foot of wood left.

3 feet and 6 inches is equal to 3 and 1/2 feet.

3 and 1/2 feet are also equal to 3 and 4/8 feet.

Subtract 3 4/8 from 4 5/8.

4 5/8 - 3 4/8 = 1 1/8.

Hope this helps!

If it does, it would help me a lot if you could make me brainliest.