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Simplify the following expression by doing one calcu \[ \begin{array}{ll} 2.30^{*} & 4+2 \times 3-1 \\ 2.31^{*} & 1+3 \times 2 \div 6-2 \\ 2.32^{* *} & 9-(12-8) \\ 2.33^{* *} & 3+3 \times 3-3 \\ 2.34^{* *} & (3+2) \times(6-2) \\ 2.35^{* *} & 2+2 \times 2+2-2+(2+2) \\ 2.36^{* *} & 8-2 \times 3+6-(5-1) \\ 2.37^{* *} & 10-4+(3-1) \times 3 \\ 2.38^{* *} & 3 \times 0+2 \times 0 \\ 2.39^{* *} & (6-2+7)+(3-2+12) \end{array} \] \( 2.40^{* * *} \) Simplify by doing only one calculation each step. \[ \frac{(5 \times 12+16 \div 4) \div 8}{(16-8) \times 2} \]

Ask by Griffin Jimenez. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The simplified expression is \( \frac{1}{2} \) or 0.5.

Solution

Calculate or simplify the expression \( \frac{(5 \times 12+16 \div 4) \div 8}{(16-8) \times 2} \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(5\times 12+16\div 4\right)\div 8}{\left(16-8\right)\times 2}\) - step1: Multiply the numbers: \(\frac{\left(60+16\div 4\right)\div 8}{\left(16-8\right)\times 2}\) - step2: Divide the numbers: \(\frac{\left(60+4\right)\div 8}{\left(16-8\right)\times 2}\) - step3: Add the numbers: \(\frac{64\div 8}{\left(16-8\right)\times 2}\) - step4: Subtract the numbers: \(\frac{64\div 8}{8\times 2}\) - step5: Divide the numbers: \(\frac{8}{8\times 2}\) - step6: Multiply the numbers: \(\frac{8}{16}\) - step7: Reduce the fraction: \(\frac{1}{2}\) The simplified expression is \( \frac{1}{2} \) or 0.5.

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Extra Insights

First, let's simplify the numerator of the fraction \(\frac{(5 \times 12 + 16 \div 4) \div 8}{(16 - 8) \times 2}\). Starting with the expression inside the parentheses, we calculate \(5 \times 12\), which equals 60, and then simplify \(16 \div 4\) to get 4. Adding these results together gives us \(60 + 4 = 64\). Now, we divide \(64\) by \(8\), which results in \(8\). Next, we simplify the denominator \((16 - 8) \times 2\). First, calculate \(16 - 8\) to get \(8\), and then multiply by \(2\) to yield \(16\). Now, we have \(\frac{8}{16}\), which simplifies to \(\frac{1}{2}\). Therefore, the final simplified result of the expression is \(\frac{1}{2}\).

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