Question

Nate's classroom has three tables of different lengths. One has a length of 4 1/2 feet, another has a length of 4 feet, and a third has a length of 2 1/2 feet. What is the length of all three tables when pushed end to end?

Answer 1

Answer:

$11\ ft$

Step-by-step explanation:

we have

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

$4\ ft$

$2\frac{1}{2}\ ft$

we know that

The length of all three tables when pushed end to end is the sum of the three lengths

Convert mixed number to an improper fraction

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

$2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft$

therefore

$\frac{9}{2}\ ft+4\ ft+\frac{5}{2}\ ft$

Rewrite $4\ ft$ as $\frac{8}{2}\ ft$

so

$\frac{9}{2}\ ft+\frac{8}{2}\ ft+\frac{5}{2}\ ft=\frac{22}{2}\ ft=11\ ft$

Answer 2

12 feet.
4 1/2= 4.5 
4 1/2+ 4= 9.5 + 2.5 = 12