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if 3 pizzas are shared equally among 8 people, what fraction of a pizza will each person get?
step 1
partition each pizza into 8 equal pieces. each piece is $\frac{1}{8}$ of the whole.
since there are more people than pizzas, each person will get less than a whole pizza.
step 2
each person gets 1 piece of each pizza. this is the same as $\frac{3}{8}$ of one pizza.
so, $3\div8 = \frac{3}{8}$. each person gets $\frac{3}{8}$ of a pizza.
in 1 - 5, write a division expression for each fraction.
1. $\frac{1}{2}$ 2. $\frac{5}{6}$ 3. $\frac{9}{15}$ 4. $\frac{10}{25}$ 5. $\frac{16}{31}$
in 6 - 10, write each division expression as a fraction.
6. $5\div9$ 7. $1\div12$ 8. $4\div21$ 9. $8\div30$ 10. $15\div45$
in 11 - 14, tell what fraction each person gets when they share equally.
11. 6 friends share 3 apples.
12. 8 people share 1 pizza.
13. 10 students share 1 hour to give their science reports,
14. 5 women each run an equal part of a 3 - mile relay.
additional practice 10 - 1
connect fractions and division
go online | savvasrealize.com topic 10 | lesson 10 - 1

Question

Accepted Answer

### Problem 1: Write a division expression for $\frac{1}{2}$
# Explanation:
## Step 1: Recall the relationship between fractions and division
A fraction $\frac{a}{b}$ (where $b
eq0$) can be written as the division expression $a\div b$. For the fraction $\frac{1}{2}$, $a = 1$ and $b = 2$.
## Step 2: Write the division expression
Using the relationship from Step 1, the division expression for $\frac{1}{2}$ is $1\div2$.
# Answer: $1\div2$

### Problem 2: Write a division expression for $\frac{5}{6}$
# Explanation:
## Step 1: Recall the fraction - division relationship
For a fraction $\frac{a}{b}$ ($b
eq0$), it is equivalent to $a\div b$. Here, $a = 5$ and $b = 6$ for the fraction $\frac{5}{6}$.
## Step 2: Form the division expression
Applying the relationship, the division expression for $\frac{5}{6}$ is $5\div6$.
# Answer: $5\div6$

### Problem 3: Write a division expression for $\frac{9}{15}$
# Explanation:
## Step 1: Recall the fraction - division rule
A fraction $\frac{a}{b}$ ($b
eq0$) can be expressed as $a\div b$. For $\frac{9}{15}$, $a = 9$ and $b = 15$.
## Step 2: Write the division expression
Using the rule, the division expression for $\frac{9}{15}$ is $9\div15$.
# Answer: $9\div15$

### Problem 4: Write a division expression for $\frac{10}{25}$
# Explanation:
## Step 1: Recall the fraction - division relationship
For a fraction $\frac{a}{b}$ ($b
eq0$), the division form is $a\div b$. For $\frac{10}{25}$, $a = 10$ and $b = 25$.
## Step 2: Form the division expression
Applying the relationship, the division expression for $\frac{10}{25}$ is $10\div25$.
# Answer: $10\div25$

### Problem 5: Write a division expression for $\frac{16}{31}$
# Explanation:
## Step 1: Recall the fraction - division rule
A fraction $\frac{a}{b}$ ($b
eq0$) is equal to $a\div b$. For $\frac{16}{31}$, $a = 16$ and $b = 31$.
## Step 2: Write the division expression
Using the rule, the division expression for $\frac{16}{31}$ is $16\div31$.
# Answer: $16\div31$

### Problem 6: Write $5\div9$ as a fraction
# Explanation:
## Step 1: Recall the division - fraction relationship
When we have a division expression $a\div b$ ($b
eq0$), it can be written as the fraction $\frac{a}{b}$. Here, $a = 5$ and $b = 9$.
## Step 2: Write the fraction
Applying the relationship, $5\div9=\frac{5}{9}$.
# Answer: $\frac{5}{9}$

### Problem 7: Write $1\div12$ as a fraction
# Explanation:
## Step 1: Recall the division - fraction rule
For a division expression $a\div b$ ($b
eq0$), it is equivalent to $\frac{a}{b}$. Here, $a = 1$ and $b = 12$.
## Step 2: Form the fraction
Using the rule, $1\div12=\frac{1}{12}$.
# Answer: $\frac{1}{12}$

### Problem 8: Write $4\div21$ as a fraction
# Explanation:
## Step 1: Recall the division - fraction relationship
A division expression $a\div b$ ($b
eq0$) can be written as $\frac{a}{b}$. For $4\div21$, $a = 4$ and $b = 21$.
## Step 2: Write the fraction
Applying the relationship, $4\div21=\frac{4}{21}$.
# Answer: $\frac{4}{21}$

### Problem 9: Write $8\div30$ as a fraction
# Explanation:
## Step 1: Recall the division - fraction rule
For a division expression $a\div b$ ($b
eq0$), it is equal to $\frac{a}{b}$. Here, $a = 8$ and $b = 30$.
## Step 2: Form the fraction
Using the rule, $8\div30=\frac{8}{30}$ (we can also simplify it to $\frac{4}{15}$, but the question just asks to write it as a fraction from the division, so $\frac{8}{30}$ is acceptable. If simplification is required, $\frac{4}{15}$ is also correct).
# Answer: $\frac{8}{30}$ (or $\frac{4}{15}$)

### Problem 10: Write $15\div45$ as a fraction
# Explanation:
## Step 1: Recall the division - fraction relationship
A division expression $a\div b$ ($b
eq0$) can be written as $\frac{a}{b}$. For $15\div45$, $a = 15$ and $b = 45$.
## Step 2: Write the fraction
Applying the relationship, $15\div45=\frac{15}{45}$ (we can simplify it to $\frac{1}{3}$, but the question just asks to write it as a fraction from the division, so $\frac{15}{45}$ is acceptable. If simplification is required, $\frac{1}{3}$ is also correct).
# Answer: $\frac{15}{45}$ (or $\frac{1}{3}$)

### Problem 11: 6 friends share 3 apples. What fraction does each person get?
# Explanation:
## Step 1: Recall the sharing - fraction relationship
When $n$ objects are shared equally among $m$ people, the fraction each person gets is $\frac{n}{m}$. Here, $n = 3$ (apples) and $m = 6$ (friends).
## Step 2: Calculate the fraction
Using the relationship, each person gets $\frac{3}{6}=\frac{1}{2}$ of an apple.
# Answer: $\frac{1}{2}$

### Problem 12: 8 people share 1 pizza. What fraction does each person get?
# Explanation:
## Step 1: Recall the sharing - fraction rule
When $n$ objects are shared equally among $m$ people, the fraction per person is $\frac{n}{m}$. Here, $n = 1$ (pizza) and $m = 8$ (people).
## Step 2: Calculate the fraction
Applying the rule, each person gets $\frac{1}{8}$ of a pizza.
# Answer: $\frac{1}{8}$

### Problem 13: 10 students share 1 hour. What fraction does each student get?
# Explanation:
## Step 1: Recall the sharing - fraction relationship
When $n$ units of time are shared equally among $m$ students, the fraction per student is $\frac{n}{m}$. Here, $n = 1$ (hour) and $m = 10$ (students).
## Step 2: Calculate the fraction
Using the relationship, each student gets $\frac{1}{10}$ of an hour.
# Answer: $\frac{1}{10}$

### Problem 14: 5 women each run an equal part of a 3 - mile relay. What fraction does each woman run?
# Explanation:
## Step 1: Recall the sharing - fraction rule
When $n$ miles are shared equally among $m$ women, the fraction per woman is $\frac{n}{m}$. Here, $n = 3$ (miles) and $m = 5$ (women).
## Step 2: Calculate the fraction
Applying the rule, each woman runs $\frac{3}{5}$ of a mile.
# Answer: $\frac{3}{5}$

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QUESTION IMAGE

Question

Explanation:

Problem 1: Write a division expression for \(\frac{1}{2}\)

Step 1: Recall the relationship between fractions and division

Step 2: Write the division expression

Step 1: Recall the fraction - division relationship

Step 2: Form the division expression

Step 1: Recall the fraction - division rule

Step 2: Write the division expression

Answer:

Problem 2: Write a division expression for \(\frac{5}{6}\)