Question

David. Has a piece of wood measuring 12 1/8 feet that he wants to use for a project he needs to cut the wood into pieces that measure 1 13/16 feet how many pieces of wood can he cut measuring exactly 1 13/16 feet?

5
6
7
8

Answer 1

Using Unitary Method
No. of pieces= 97/8 ÷ 29/16= 6.68 ~~~= 7 pieces.

Answer 2

A calculator can figure this for you, or you can do the arithmetic by hand.

$\dfrac{12\frac{1}{8}}{1\frac{13}{16}}=\dfrac{\left(\dfrac{12\cdot 8+1}{8}\right)}{\left(\dfrac{1\cdot 16+13}{16}\right)}\\\\=\dfrac{97}{8}\cdot\dfrac{16}{29}=\dfrac{97\cdot 2}{29}=\dfrac{194}{29}\\\\=\dfrac{6\cdot 29+20}{29}=6\frac{20}{29}$

6 pieces can be cut measuring exactly 1 13/16.