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11. $12 + 5 \\div 8 + 24 \\div 8 + 4^2 \\div 8$ 12. $3(4.5 + 7.2) - 5 \…

Question

  1. $12 + 5 \div 8 + 24 \div 8 + 4^2 \div 8$
  2. $3(4.5 + 7.2) - 5 \cdot 4$

Explanation:

Step1: Solve exponent first

$4^2 = 16$

Step2: Rewrite divisions as fractions

$12 + \frac{5}{8} + \frac{24}{8} + \frac{16}{8}$

Step3: Simplify the fractions

$\frac{5}{8}=0.625$, $\frac{24}{8}=3$, $\frac{16}{8}=2$

Step4: Sum all terms

$12 + 0.625 + 3 + 2 = 17.625$

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Step1: Calculate parentheses first

$4.5 + 7.2 = 11.7$

Step2: Perform multiplication operations

$3\times11.7=35.1$, $5\cdot4=20$

Step3: Subtract the two results

$35.1 - 20 = 15.1$

Answer:

  1. $17.625$ (or $\frac{141}{8}$)
  2. $15.1$