Question

Jessica bought 3 1/3 yards of fabric. How much is this in feet?Write your answer as a whole number or a mixed number in simplest form.

Answer 1

10 ft

Step-by-step explanation

to solve this we need to know the equivalence, in this case it is

`1\text{ yd = 3 ft}`

so

Step 1

convert the mixed number into a fraction

remember how:

`a(b)/(c)=((a*c)+b)/(c)`

hence

`\begin{gathered} 3\text{ }(1)/(3) \\ 3(1)/(3)=((3*3)+1)/(3)=(10)/(3) \end{gathered}`

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

`\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}`

so, multiply the amount ( in yd) by the equivalent fraction

hence

`(10)/(3)\text{ yd*\lparen}\frac{3\text{ ft}}{1\text{ yd}}\text{\rparen=10 ft}`

therefore, the answer is

10 ft

I hope this helps you