Question

a zookeeper is $6\frac{1}{4}$ feet tall. a young giraffe in his care is $9\frac{3}{8}$ feet tall. type the answers in the boxes below. 1. how many times as tall as the zookeeper is the giraffe? 2. what fraction of the giraffes height is the zookeepers height?

Explanation:

Step1: Convert mixed numbers to improper fractions

Zookeeper's height: $6\frac{1}{4} = \frac{6\times4 + 1}{4} = \frac{25}{4}$ feet
Giraffe's height: $9\frac{3}{8} = \frac{9\times8 + 3}{8} = \frac{75}{8}$ feet

Step2: Solve question 1 (giraffe ÷ zookeeper)

To find how many times taller the giraffe is, divide the giraffe's height by the zookeeper's height:
$\frac{75}{8} \div \frac{25}{4} = \frac{75}{8} \times \frac{4}{25} = \frac{75\times4}{8\times25} = \frac{300}{200} = \frac{3}{2}$

Step3: Solve question 2 (zookeeper ÷ giraffe)

To find the fraction of the giraffe's height that the zookeeper is, divide the zookeeper's height by the giraffe's height:
$\frac{25}{4} \div \frac{75}{8} = \frac{25}{4} \times \frac{8}{75} = \frac{25\times8}{4\times75} = \frac{200}{300} = \frac{2}{3}$

Answer:

1. $\frac{3}{2}$
2. $\frac{2}{3}$