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What is the value of [tex][tex]$(20 \div 5) \div 2+(16 \div 8) \times 2+(10 \div 5) \times(3+2)$[/tex][/tex]?

A. 12
B. 15
C. 16
D. 18


Sagot :

Let's solve the given expression step by step:

The expression is:

[tex]\[ \left( \frac{20}{5} \right) \div 2 + \left( \frac{16}{8} \right) \times 2 + \left( \frac{10}{5} \right) \times (3 + 2) \][/tex]

### Breaking it down into segments:

1. First Segment:
[tex]\[ \left( \frac{20}{5} \right) \div 2 \][/tex]

First, calculate the fraction inside the parentheses:
[tex]\[ \frac{20}{5} = 4 \][/tex]

Next, divide by 2:
[tex]\[ 4 \div 2 = 2.0 \][/tex]

So the value of the first segment is:
[tex]\[ 2.0 \][/tex]

2. Second Segment:
[tex]\[ \left( \frac{16}{8} \right) \times 2 \][/tex]

Calculate the fraction:
[tex]\[ \frac{16}{8} = 2 \][/tex]

Then multiply by 2:
[tex]\[ 2 \times 2 = 4.0 \][/tex]

So the value of the second segment is:
[tex]\[ 4.0 \][/tex]

3. Third Segment:
[tex]\[ \left( \frac{10}{5} \right) \times (3 + 2) \][/tex]

First, calculate the fraction:
[tex]\[ \frac{10}{5} = 2 \][/tex]

Then, calculate the value inside the parentheses:
[tex]\[ 3 + 2 = 5 \][/tex]

Finally, multiply these results:
[tex]\[ 2 \times 5 = 10.0 \][/tex]

So the value of the third segment is:
[tex]\[ 10.0 \][/tex]

### Adding all segments together:

Now, sum the values of all three segments:
[tex]\[ 2.0 + 4.0 + 10.0 \][/tex]

Adding these:
[tex]\[ 2.0 + 4.0 = 6.0 \][/tex]
[tex]\[ 6.0 + 10.0 = 16.0 \][/tex]

So, the total value of the expression is:
[tex]\[ 16.0 \][/tex]

Hence, the correct answer is:
[tex]\[ \boxed{16} \][/tex]