How many 5/16 foot pieces of wood can you cut from a board that is 1 19/16 feet long?

5 pieces

Step-by-step explanation:

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

Change 1 7/8 to an improper fraction

substitute this value into the equation

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

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

dividing by 1 gives just the top fraction.

Dividing out common factors leaves

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x