Question

1. a board that is 14 feet long is cut into pieces that are each 2\frac{1}{3} feet long. into how many pieces was the board cut? (lesson 7)
2. what number multiplied by \frac{7}{9} has a product of 1? (lesson 5)

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}$

Step2: Divide total length by length of each piece

$14\div\frac{7}{3}=14\times\frac{3}{7}$

Step3: Simplify the expression

$14\times\frac{3}{7}=\frac{14\times3}{7}=6$

Let the number be $x$. We have the equation $\frac{7}{9}x = 1$.

Step1: Solve for $x$

$x=1\div\frac{7}{9}=1\times\frac{9}{7}=\frac{9}{7}$

Answer:

6