Question

Kiran has LaTeX: 10\frac{1}{2} 10 1 2 feet of lumber and wants to make a bookshelf. Kiran needs two side panels that are each LaTeX: 5\frac{2}{3} 5 2 3 feet. How much more lumber does Kiran need in order to make the side panels? A) LaTeX: \frac{5}{6} 5 6 feet B) LaTeX: \frac{1}{2} 1 2 feet C) LaTeX: 1\frac{5}{6} 1 5 6 feet D) LaTeX: 1\frac{1}{2} 1 1 2 feet

Answer 1

A) LaTeX: \frac{5}{6} 5 6 feet

Explanation:

Kiran has 10 1/2 feet of lumber and wants to make a bookshelf.

Kiran needs two side panels that are each 5 2/3 feet.

1 side panel = 5 2/3 feet

2 side panels =

2 × 5 2/3

2 × 17/3

= 34/3

= 11 1/3 feet

Kiran would need 11 1/3 feet of lumber.

Kiran already has 10 1/2 feet

How much more lumber does Kiran need in order to make the side panels?

This is calculated as:

11 1/3 - 10 1/2

11 - 10 + (1/3 - 1/2)

1 + ( 2 - 3/6)

1 + (-1/6)

1 - 1/6

= 5/6

Hence, Kiran need 5/6 feet more of Lumber.