data and graphing worksheet\nthe graph shows the favorite field trips of the students. study the graph and…

data and graphing worksheet\nthe graph shows the favorite field trips of the students. study the graph and answer the questions below.\nbotanical garden $\frac{1}{8}$\nmuseum $\frac{1}{4}$\nhistorical sites $\frac{1}{3}$\nplanetarium $\frac{1}{6}$\nzoo $\frac{1}{8}$\n1. which place is most liked by the students?\n2. what fraction of the students like zoo?\n3. what fraction of the students like garden and zoo?\n4. which place is liked by one - sixth of the students?\n5. which place is liked twice as much as the botanical gardens?
Answer
Explanation:
Step1: Compare the fractions
We have fractions $\frac{1}{8}$ (Botanical Garden and Zoo), $\frac{1}{4}$ (Museum), $\frac{1}{3}$ (Historical Sites), $\frac{1}{6}$ (Planetarium). Since $\frac{1}{3}>\frac{1}{4}>\frac{1}{6}>\frac{1}{8}$, Historical Sites have the largest fraction.
Step2: Identify the fraction for Zoo
From the pie - chart, the fraction of students who like Zoo is $\frac{1}{8}$.
Step3: Add the fractions for Garden and Zoo
The fraction of students who like Botanical Garden is $\frac{1}{8}$ and for Zoo is $\frac{1}{8}$. So, $\frac{1}{8}+\frac{1}{8}=\frac{1 + 1}{8}=\frac{2}{8}=\frac{1}{4}$.
Step4: Match the fraction $\frac{1}{6}$
From the pie - chart, the place liked by $\frac{1}{6}$ of the students is Planetarium.
Step5: Find the place liked twice as much as Botanical Garden
The fraction of students who like Botanical Garden is $\frac{1}{8}$. Twice of $\frac{1}{8}$ is $\frac{2}{8}=\frac{1}{4}$, and the place with fraction $\frac{1}{4}$ is Museum.
Answer:
- Historical Sites
- $\frac{1}{8}$
- $\frac{1}{4}$
- Planetarium
- Museum