Question

1. shawns golf club is $3\frac{3}{4}$ feet tall. shawns hockey stick is $5\frac{1}{2}$ feet tall.

a how many times as tall as the golf club is the hockey stick? show your thinking.

b what fraction of the hockey sticks height is the golf club? show your thinking.

Explanation:

Part a

Step1: Convert mixed numbers to improper fractions

Golf club height: $3\frac{3}{4}=\frac{3\times4 + 3}{4}=\frac{15}{4}$ feet.
Hockey stick height: $5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}$ feet.

Step2: Divide hockey stick height by golf club height

To find how many times taller the hockey stick is, calculate $\frac{11}{2}\div\frac{15}{4}$.
Dividing fractions: $\frac{11}{2}\times\frac{4}{15}=\frac{11\times4}{2\times15}=\frac{44}{30}=\frac{22}{15}=1\frac{7}{15}$.

Step1: Use the same improper fractions as part a

Golf club: $\frac{15}{4}$ feet, Hockey stick: $\frac{11}{2}$ feet.

Step2: Divide golf club height by hockey stick height

Calculate $\frac{15}{4}\div\frac{11}{2}$.
Dividing fractions: $\frac{15}{4}\times\frac{2}{11}=\frac{15\times2}{4\times11}=\frac{30}{44}=\frac{15}{22}$.

Answer:

$1\frac{7}{15}$

Part b