What is 3(2(5\div 2)+5) ?

The solution to 3(2(5\div 2)+5) is 30

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3(2(5\div 2)+5)

3 (2 (5 \div 2) + 5)

30

Solution steps

3 (2 (5 \div 2) + 5)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (5 \div 2) + 5) : 10

2 (5 \div 2) + 5

Calculate within parentheses

(5 \div 2) : \frac{5}{2}

5 \div 2

5 \div 2 = \frac{5}{2}

= \frac{5}{2}

= 2 \cdot \frac{5}{2} + 5

Multiply and divide (left to right)

2 \cdot \frac{5}{2} : 5

2 \cdot \frac{5}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{5}{2}

Cross-cancel common factor:

2

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= 5 + 5

Add and subtract (left to right)

5 + 5 : 10

5 + 5

5 + 5 = 10

= 10

= 10

= 3 \cdot 10

Multiply and divide (left to right)

3 \cdot 10 : 30

3 \cdot 10

3 \cdot 10 = 30

= 30

= 30

- 1 + \frac{1}{8} - \frac{1}{27}

(12 - 4) (- 5)

8 \times 3 \div 4 \div (10 \div 2 - 4) + 20

5 (2^{3} - 4)

(\times 4) 3 (\times 2) 3