Question

here is a table of paired values.

x	0.3	$1\frac{1}{3}$	1.5	$2\frac{1}{2}$

divide each y - value by its x - value.

enter your answers as whole numbers or as mixed numbers in simplest form in the boxes.

$\frac{y}{x}=\frac{1\frac{1}{2}}{0.3}=\square$

$\frac{y}{x}=\frac{6\frac{2}{3}}{1\frac{1}{3}}=\square$

Explanation:

Step1: Convert to improper fractions

First pair: $1\frac{1}{2}=\frac{3}{2}$, $0.3=\frac{3}{10}$
Second pair: $6\frac{2}{3}=\frac{20}{3}$, $1\frac{1}{3}=\frac{4}{3}$

Step2: Divide fractions (multiply by reciprocal)

First calculation: $\frac{3}{2} \div \frac{3}{10} = \frac{3}{2} \times \frac{10}{3}$
Second calculation: $\frac{20}{3} \div \frac{4}{3} = \frac{20}{3} \times \frac{3}{4}$

Step3: Simplify the expressions

First result: $\frac{3 \times 10}{2 \times 3} = \frac{10}{2} = 5$
Second result: $\frac{20 \times 3}{3 \times 4} = \frac{20}{4} = 5$

Answer:

$\frac{y}{x} = \frac{1\frac{1}{2}}{0.3} = 5$
$\frac{y}{x} = \frac{6\frac{2}{3}}{1\frac{1}{3}} = 5$