9,2 * 6,4 * 0,15 ———————— 1,6 * 4,6 * 0,03 4 3 4 3 7 — * — + 2 — : 8 — 5 5 5 4 ————————————— 0,18 : 1,5 + 2,88

To solve the expressions step-by-step, let's break it down systematically.

Expression 1:

Calculate the value of \[ \frac{9.2 \times 6.4 \times 0.15}{1.6 \times 4.6 \times 0.03} \]

1. Calculate the numerator: \[ 9.2 \times 6.4 = 58.88 \] \[ 58.88 \times 0.15 = 8.832 \]

2. Calculate the denominator: \[ 1.6 \times 4.6 = 7.36 \] \[ 7.36 \times 0.03 = 0.2208 \]

3. Divide the numerator by the denominator: \[ \frac{8.832}{0.2208} \approx 40 \]

Expression 2:

Calculate the value of \[ \frac{7}{5} \times \frac{4}{3} + \frac{2}{5} \div \frac{8}{4} \]

1. Calculate \( \frac{2}{5} \div \frac{8}{4} \): \[ \frac{2}{5} \div \frac{8}{4} = \frac{2}{5} \times \frac{4}{8} = \frac{2 \times 4}{5 \times 8} = \frac{8}{40} = \frac{1}{5} \]

2. Now, calculate \( \frac{7}{5} \times \frac{4}{3} \): \[ \frac{7 \times 4}{5 \times 3} = \frac{28}{15} \]

3. So, combine both parts: \[ \frac{28}{15} + \frac{1}{5} = \frac{28}{15} + \frac{3}{15} = \frac{31}{15} \]

Expression 3:

Calculate \[ 0.18 \div 1.5 + 2.88 \]

1. Calculate \( 0.18 \div 1.5 \): \[ 0.18 \div 1.5 = \frac{0.18}{1.5} \approx 0.12 \]

2. Therefore, add \( 0.12 \) to \( 2.88 \): \[ 0.12 + 2.88 = 3.00 \]

Summary

• The result of the first expression is approximately 40.
• The result of the second expression is \( \frac{31}{15} \) or approximately 2.067.
• The result of the third expression is 3.00.

If you need any further calculations or explanations, feel free to ask!