Question

jenna has 4\frac{1}{2} yards of thread. she cuts the thread into equal pieces such that each piece measures \frac{1}{4} yard. how many pieces of thread does jenna have?

Explanation:

Step1: Convert the mixed - number to an improper fraction.

$4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$

Step2: Divide the total length of thread by the length of each piece.

The number of pieces $n=\frac{\frac{9}{2}}{\frac{1}{4}}$. When dividing by a fraction, we multiply by its reciprocal, so $n=\frac{9}{2}\times4$.
$\frac{9}{2}\times4 = 9\times2=18$

Answer:

18