Question

*Change each whole number into a fraction by placing the whole number in the numerator and 1 in the denominator. Then multiply numerator times numerator and denominator times denominator. Then rewrite your improper fraction as a mixed number.

Example: 5 x 1/3
5/1 x 1/3 = 5/3 = 1 ⅔

3/8 x 4
Answer:


8 x 5/6
Answer:


5 x 4/7
Answer:


2/3 x 5
Answer:

Answer 1

Let's go through each multiplication problem according to the instructions:

1. **Problem: 3/8 x 4**

Step 1: Convert 4 into a fraction.
\[
4 = \frac{4}{1}
\]

Step 2: Multiply the fractions.
\[
\frac{3}{8} \times \frac{4}{1} = \frac{3 \times 4}{8 \times 1} = \frac{12}{8}
\]

Step 3: Simplify the fraction.
\[
\frac{12}{8} = \frac{3}{2}
\]

Step 4: Convert to a mixed number.
\[
\frac{3}{2} = 1 \frac{1}{2}
\]

**Answer: 1 ½**

---

2. **Problem: 8 x 5/6**

Step 1: Convert 8 into a fraction.
\[
8 = \frac{8}{1}
\]

Step 2: Multiply the fractions.
\[
\frac{8}{1} \times \frac{5}{6} = \frac{8 \times 5}{1 \times 6} = \frac{40}{6}
\]

Step 3: Simplify the fraction.
\[
\frac{40}{6} = \frac{20}{3}
\]

Step 4: Convert to a mixed number.
\[
\frac{20}{3} = 6 \frac{2}{3}
\]

**Answer: 6 ⅔**

---

3. **Problem: 5 x 4/7**

Step 1: Convert 5 into a fraction.
\[
5 = \frac{5}{1}
\]

Step 2: Multiply the fractions.
\[
\frac{5}{1} \times \frac{4}{7} = \frac{5 \times 4}{1 \times 7} = \frac{20}{7}
\]

Step 3: Convert to a mixed number.
\[
\frac{20}{7} = 2 \frac{6}{7}
\]

**Answer: 2 ⅗**

---

4. **Problem: 2/3 x 5**

Step 1: Convert 5 into a fraction.
\[
5 = \frac{5}{1}
\]

Step 2: Multiply the fractions.
\[
\frac{2}{3} \times \frac{5}{1} = \frac{2 \times 5}{3 \times 1} = \frac{10}{3}
\]

Step 3: Convert to a mixed number.
\[
\frac{10}{3} = 3 \frac{1}{3}
\]

**Answer: 3 ⅓**

---

Here are the answers summarized:

1. \( \frac{3}{8} \times 4 = 1 \frac{1}{2} \)

2. \( 8 \times \frac{5}{6} = 6 \frac{2}{3} \)

3. \( 5 \times \frac{4}{7} = 2 \frac{6}{7} \)

4. \( \frac{2}{3} \times 5 = 3 \frac{1}{3} \)