Question

unit 6 review (measurement)
score: 10/52 10/52 answered
question 2
convert the following:
19 feet = yards
(any answer that is not a whole number can be written as a decimal only if it is a terminating decimal. if it is not, the answer must be written as a mixed number.)
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Explanation:

Step1: Recall the conversion factor

We know that 1 yard is equal to 3 feet, so the conversion factor from feet to yards is $\frac{1}{3}$ (yards per foot).

Step2: Perform the conversion

To convert 19 feet to yards, we divide the number of feet by 3. So we calculate $19\div3$.
$19\div3 = 6\frac{1}{3}$ or as a decimal, since $\frac{1}{3}\approx0.333\cdots$, but wait, actually $19\div3 = 6.333\cdots$? Wait no, wait 36 = 18, so 19 - 18 = 1, so $19\div3=\frac{19}{3}=6\frac{1}{3}\approx6.333\cdots$? Wait no, wait the problem says "Any answer that is not a whole number can be written as a decimal only if it is a terminating decimal. If it is not, the answer must be written as a mixed number." Since $\frac{1}{3}$ is a repeating decimal, we should write it as a mixed number. Wait, but let's check the division: 19 divided by 3. 36 = 18, remainder 1. So $19\div3 = 6\frac{1}{3}$. But wait, maybe the problem allows decimal? Wait no, the problem says "decimal only if it is a terminating decimal". Since $\frac{1}{3}$ is non - terminating, we use mixed number or improper fraction? Wait, the problem says "written as a mixed number" if not terminating. So $19\div3 = 6\frac{1}{3}$ or as a decimal, but since it's non - terminating, mixed number is better. Wait, but let's do the division: 19 ÷ 3. Let's compute it: 3*6 = 18, 19 - 18 = 1, so $\frac{19}{3}=6\frac{1}{3}\approx6.333\cdots$ but since it's not terminating, we use mixed number. Wait, but maybe the problem expects decimal? Wait no, the instruction is clear: "decimal only if it is a terminating decimal". So we have to write it as a mixed number. Wait, but let's check again. 1 yard = 3 feet, so yards = feet / 3. So 19 feet = 19/3 yards = $6\frac{1}{3}$ yards or approximately 6.333... but since 1/3 is non - terminating, mixed number is correct.

Answer:

$6\frac{1}{3}$ (or if we consider the decimal, but since it's non - terminating, mixed number is required. Wait, but maybe the problem has a typo? Wait no, 19 divided by 3 is $6\frac{1}{3}$ or approximately 6.333... but according to the problem's instruction, since it's not a terminating decimal, we write it as a mixed number. So the answer is $6\frac{1}{3}$ or in decimal, but since it's non - terminating, mixed number. So the answer is $\frac{19}{3}$ or $6\frac{1}{3}$.