# How many 3/8 foot pieces of wood can you cut from a board that is 1 7/8 feet long?

Mar 20, 2018

5 pieces.

#### Explanation:

To find the number of pieces divide 1 7/8 by 3/8

$1 \frac{7}{8} / \frac{3}{8}$

Change 1 7/8 to an improper fraction

$1 \frac{7}{8} = \frac{15}{8}$ substitute this value into the equation

$\frac{\frac{15}{8}}{\frac{3}{8}}$ l

to solve this complex fraction remove the bottom fraction by multiplying both the top and bottom fractions by the inverse of the bottom fraction.

$\frac{\frac{15}{8} \times \frac{8}{3}}{\frac{3}{8} \times \frac{8}{3}}$

Multiplying by the inverse results in a product of 1 so the result is

$\frac{\frac{15}{8} \times \frac{8}{3}}{1}$ dividing by 1 gives just the top fraction.

$\frac{15}{8} \times \frac{8}{3} = \frac{5 \times 3 \times 8}{3 \times 8}$

Dividing out common factors leaves

$5 \times \left(\frac{3}{3}\right) \times \left(\frac{8}{8}\right) = 5$