Question

1. find the missing values in the ratio table. then write the equivalent ratios.

feet $\frac{1}{24}$ $square$ $\frac{1}{8}$ $square$
inches $\frac{1}{2}$ 1 $square$ $\frac{1}{4}$
the equivalent ratios are $\frac{1}{24} : \frac{1}{2}$, $square$:1 , $\frac{1}{8}$:$square$ , and $square$:$square$ .

Explanation:

Step1: Find the conversion ratio

First, confirm the ratio of feet to inches using the first row:
$\frac{\frac{1}{24}}{\frac{1}{2}} = \frac{1}{24} \times \frac{2}{1} = \frac{1}{12}$
This means $\text{Feet} = \frac{1}{12} \times \text{Inches}$, and $\text{Inches} = 12 \times \text{Feet}$.

Step2: Find missing feet (inches=1)

Calculate feet when inches = 1:
$\text{Feet} = \frac{1}{12} \times 1 = \frac{1}{12}$

Step3: Find missing inches (feet=$\frac{1}{8}$)

Calculate inches when feet = $\frac{1}{8}$:
$\text{Inches} = 12 \times \frac{1}{8} = \frac{12}{8} = \frac{3}{2}$

Step4: Find missing feet (inches=$\frac{1}{4}$)

Calculate feet when inches = $\frac{1}{4}$:
$\text{Feet} = \frac{1}{12} \times \frac{1}{4} = \frac{1}{48}$

Answer:

Completed Table:

Feet	$\frac{1}{24}$	$\frac{1}{12}$	$\frac{1}{8}$	$\frac{1}{48}$

Equivalent Ratios:

$\frac{1}{24} : \frac{1}{2}$, $\boldsymbol{\frac{1}{12}:1}$ , $\boldsymbol{\frac{1}{8}:\frac{3}{2}}$ , and $\boldsymbol{\frac{1}{48}:\frac{1}{4}}$