We need to solve the arithmetic problems shown in the image. The problems are: 1. $5 \times 8 \times 9 = $

1. Problem Description

We need to solve the arithmetic problems shown in the image. The problems are:

1. $5 \times 8 \times 9 = $

2. $\frac{4}{6} \div \frac{2}{5} = $

3. $8^2 + 18 = $

4. $40\% \text{ of } 2800 = $

5. $38 \times 7 = $

6. $322 \times 53 = $

2. Solution Steps

Problem 1: $5 \times 8 \times 9$

Multiply $5$ and $8$ first: $5 \times 8 = 40$

Then multiply $40$ by $9$: $40 \times 9 = 360$

Problem 2: $\frac{4}{6} \div \frac{2}{5}$

To divide fractions, we multiply by the reciprocal of the second fraction:

$\frac{4}{6} \div \frac{2}{5} = \frac{4}{6} \times \frac{5}{2}$

Multiply the numerators: $4 \times 5 = 20$

Multiply the denominators: $6 \times 2 = 12$

So, $\frac{4}{6} \times \frac{5}{2} = \frac{20}{12}$

Simplify the fraction by dividing both numerator and denominator by 4:

$\frac{20}{12} = \frac{20 \div 4}{12 \div 4} = \frac{5}{3}$

Problem 3: $8^2 + 18$

First, calculate $8^2$: $8^2 = 8 \times 8 = 64$

Then, add $18$: $64 + 18 = 82$

Problem 4: $40\% \text{ of } 2800$

To find the percentage of a number, we convert the percentage to a decimal and multiply.

$40\% = \frac{40}{100} = 0.40 = 0.4$

Multiply $0.4$ by $2800$:

$0.4 \times 2800 = 1120$

Problem 5: $38 \times 7$

$38 \times 7 = 266$

Problem 6: $322 \times 53$

Multiply $322$ by $3$: $322 \times 3 = 966$

Multiply $322$ by $50$: $322 \times 50 = 16100$

Add the two results: $966 + 16100 = 17066$

3. Final Answer

1. $5 \times 8 \times 9 = 360$

2. $\frac{4}{6} \div \frac{2}{5} = \frac{5}{3}$

3. $8^2 + 18 = 82$

4. $40\% \text{ of } 2800 = 1120$

5. $38 \times 7 = 266$

6. $322 \times 53 = 17066$