- Multiply and Divide Fractions
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- Product of a Unit Fraction and a Whole Number
- Product of a Fraction and a Whole Number: Problem Type 1
- Introduction to Fraction Multiplication
- Fraction Multiplication
- Product of a Fraction and a Whole Number Problem Type 2
- Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction
- Modeling Multiplication of Proper Fractions
- Multiplication of 3 Fractions
- Word Problem Involving Fractions and Multiplication
- The Reciprocal of a Number
- Division Involving a Whole Number and a Fraction
- Fraction Division
- Fact Families for Multiplication and Division of Fractions
- Modeling Division of a Whole Number by a Fraction
- Word Problem Involving Fractions and Division

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# Word Problem Involving Fractions and Division

Three children share 2$\frac{1}{2}$ chocolate bars with each child getting the same amount. How much does each child get?

### Solution

**Step 1:**

Number of chocolates that are shared = 2$\frac{1}{2}$ = $\frac{5}{2}$

Number of children = 3

**Step 2:**

The fraction of chocolate each child gets

= 2$\frac{1}{2}$ ÷ 3 =$\frac{5}{2}$ ÷ 3 = $\frac{5}{2}$ ÷ $\frac{3}{1}$

= $\frac{5}{2}$ × $\frac{1}{3}$ = $\frac{(5×1)}{(2×3)}$ = $\frac{5}{6}$

Four brothers inherit 30$\frac{1}{3}$ acres of land altogether. They decide to share it equally. How much land does each brother get?

### Solution

**Step 1:**

Number of acres of land inherited = 30$\frac{1}{3}$ = $\frac{91}{3}$

Number of brothers = 4

**Step 2:**

The fraction of land each brother gets

= 30$\frac{1}{3}$ ÷ 4 = $\frac{91}{3}$ ÷ 4

= $\frac{91}{3}$ ÷ $\frac{4}{1}$ = $\frac{91}{3}$ × $\frac{1}{4}$

= $\frac{(91×1)}{(3×4)}$ = $\frac{91}{12}$ = 7$\frac{7}{12}$ acres

If it rained the same amount each day for 3 days and the total amount of rain received was 4$\frac{1}{3}$ inches, how much did it rain each day?

### Solution

**Step 1:**

Total amount of rain received = 4$\frac{1}{3}$ = $\frac{13}{3}$

Number of days it rained = 3

**Step 2:**

The amount of rain received per day

= 4$\frac{1}{3}$ ÷ 3 = $\frac{13}{3}$ ÷ 3

= $\frac{13}{3}$ ÷ $\frac{3}{1}$ = $\frac{13}{3}$ × $\frac{1}{3}$

= $\frac{(13×1)}{(3×3)}$ = $\frac{13}{9}$ = 1$\frac{4}{9}$ inches