10 ft
Explanation
to solve this we need to know the equivalence, in this case it is
[tex]1\text{ yd = 3 ft}[/tex]
so
Step 1
convert the mixed number into a fraction
remember how:
[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}[/tex]
hence
[tex]\begin{gathered} 3\text{ }\frac{1}{3} \\ 3\frac{1}{3}=\frac{(3*3)+1}{3}=\frac{10}{3} \end{gathered}[/tex]
Step 2
now, to convert we need to multiply by the equivalent fraction, this fraction must have the unit to convert in the denominator
so
[tex]\begin{gathered} equivalent\text{ fraction} \\ \frac{3\text{ ft}}{1\text{ yd}} \\ note\text{ that } \\ \frac{3\text{ft}}{1\text{yd}}=1 \\ so\text{ we are changing the unit of measure, not the amount} \end{gathered}[/tex]
so, multiply the amount ( in yd) by the equivalent fraction
hence
[tex]\frac{10}{3}\text{ yd*\lparen}\frac{3\text{ ft}}{1\text{ yd}}\text{\rparen=10 ft}[/tex]
therefore, the answer is
10 ft
I hope this helps you
