4200:72:24:100•5+1700-900:400

To simplify the expression \(4200:72:24:100\cdot 5 + 1700 - 900:400\), we will break it down step by step. 1. **Interpret the colons and operations**: The colons (:) in your expression can be treated as division. Thus, we rewrite the expression: \[ \frac{4200}{72} \cdot \frac{24}{100} \cdot 5 + 1700 - \frac{900}{400} \] 2. **Simplify \( \frac{900}{400} \)**: \[ \frac{900}{400} = \frac{9}{4} = 2.25 \] 3. **Calculate \( \frac{4200}{72} \)**: \[ \frac{4200}{72} = 58.33 \quad (\text{approximately}) \] 4. **Calculate \( \frac{24}{100} \)**: \[ \frac{24}{100} = 0.24 \] 5. **Combine the results**: Now we multiply: \[ 58.33 \cdot 0.24 \cdot 5 \] First, \( 58.33 \cdot 0.24 \): \[ 58.33 \cdot 0.24 \approx 14 \] Now multiply by 5: \[ 14 \cdot 5 = 70 \] 6. **Now add \( 1700 \)**: \[ 70 + 1700 = 1770 \] 7. **Finally, subtract \( 2.25 \)**: \[ 1770 - 2.25 = 1767.75 \] Thus, the final result of the expression \(4200:72:24:100\cdot 5 + 1700 - 900:400\) is approximately \( 1767.75 \).