Question

how do you show division using fractions? study the example problem showing how to write a division problem as a fraction. then solve problems 1–7. example there are 3 bags of popcorn to divide equally among 2 students. how much popcorn will each student get? there are 3 bags of popcorn for 2 students to share, which is 3 ÷ 2. divide each of the 3 bags into 2 equal parts. each student will get \\(\frac{1}{2}\\) of each bag. \\(\frac{1}{2} \times 3 = \frac{3}{2}\\) \\(3 \div 2 = \frac{3}{2}\\) each student will get \\(\frac{3}{2}\\) bags of popcorn. 1 how many whole bags plus how many one - half bags of popcorn would each student get? \\(\underline{\quad\quad}\\) whole bag(s) \\(\underline{\quad\quad}\\) one - half bag(s) 2 how can you combine your answers in problem 1 to write how many bags of popcorn each student will get as a mixed number? 3 nine yards of ribbon are cut into 8 equal pieces. what is the length of each piece of ribbon?

Explanation:

Step1: Convert improper fraction to parts

$\frac{3}{2} = 1 + \frac{1}{2}$

Step2: Identify whole and half bags

Whole bags: $1$, Half bags: $1$

Step3: Write as mixed number

Combine whole and fractional parts: $1\frac{1}{2}$

Step4: Set up ribbon division

Total length: 9 yards, pieces: 8. Expression: $9 \div 8$

Step5: Convert division to fraction

$9 \div 8 = \frac{9}{8}$

Answer:

1. 1 whole bag(s) 1 one-half bag(s)
2. $1\frac{1}{2}$ bags
3. $\frac{9}{8}$ yards