Question

practice: ratios and ratio tables6. find the missing values in the ratio table. then write the equivalent ratios.meters 8 4 □ □minutes $\frac{1}{3}$ □ $\frac{1}{4}$ $\frac{5}{12}$the equivalent ratios are $8 : \frac{1}{3}$, $4:square$ , $square:\frac{1}{4}$ , and $square:square$ .

Explanation:

Step1: Find unit rate (meters/min)

$\text{Unit rate} = \frac{8}{\frac{1}{3}} = 8 \times 3 = 24$ meters per minute

Step2: Find missing minutes for 4m

$\text{Minutes} = \frac{4}{24} = \frac{1}{6}$

Step3: Find meters for $\frac{1}{4}$ min

$\text{Meters} = 24 \times \frac{1}{4} = 6$

Step4: Find meters for $\frac{5}{12}$ min

$\text{Meters} = 24 \times \frac{5}{12} = 10$

Answer:

Completed Ratio Table:

Meters	8	4	6	10

Equivalent Ratios:

$8:\frac{1}{3}$, $4:\frac{1}{6}$, $6:\frac{1}{4}$, and $10:\frac{5}{12}$