Solve $$ 3+(4+4) \div 5 imes 2-2^{2} $$

Question

Solve $$ 3+(4+4) \div 5 	imes 2-2^{2} $$

UpStudy AI · Accepted Answer

**Step 1. Evaluate the parentheses**

$$
4+4=8
$$

The expression becomes:

$$
3+8\div5\times2-2^{2}
$$

**Step 2. Evaluate the exponent**

$$
2^{2}=4
$$

Now the expression is:

$$
3+8\div5\times2-4
$$

**Step 3. Perform division and multiplication (from left to right)**

First, the division:

$$
8\div5=\frac{8}{5}
$$

Then, the multiplication:

$$
\frac{8}{5}\times2=\frac{16}{5}
$$

Now the expression simplifies to:

$$
3+\frac{16}{5}-4
$$

**Step 4. Perform addition and subtraction**

Convert the integers to fractions with denominator 5:

$$
3=\frac{15}{5},\quad 4=\frac{20}{5}
$$

Now, the expression becomes:

$$
\frac{15}{5}+\frac{16}{5}-\frac{20}{5}=\frac{15+16-20}{5}=\frac{11}{5}
$$

The final answer is:

$$
\frac{11}{5}
$$
The final answer is $$ \frac{11}{5} $$.

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