What is 1/2*5(8+18) ?

The solution to 1/2*5(8+18) is 65

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1/2*5(8+18)

\frac{1}{2} \cdot 5 (8 + 18)

65

Solution steps

\frac{1}{2} \cdot 5 (8 + 18)

Follow the PEMDAS order of operations

Calculate within parentheses

(8 + 18) : 26

8 + 18

8 + 18 = 26

= 26

= \frac{1}{2} \cdot 5 \cdot 26

Multiply and divide (left to right)

\frac{1}{2} \cdot 5 \cdot 26 : 65

\frac{1}{2} \cdot 5 \cdot 26

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

\frac{1}{2} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Multiply the numbers:

1 \cdot 5 = 5

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

Multiply the numbers:

2 \cdot 1 = 2

= \frac{5}{2}

= \frac{5}{2} \cdot 26

\frac{5}{2} 26 = 65

\frac{5}{2} \cdot 26

Convert element to fraction:

26 = \frac{26}{1}

= \frac{5}{2} \cdot \frac{26}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 \cdot 26}{2 \cdot 1}

Cancel

\frac{5 \cdot 26}{2 \cdot 1} : 65

\frac{5 \cdot 26}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{5 \cdot 26}{2}

Divide the numbers:

\frac{26}{2} = 13

= 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 65

= 65

= 65

= 65

3 - 1^{2}

(\frac{5}{8} + \frac{15}{4}) \div 5

- 4 [8 - (5 - 2)] - 3

- 3 (2)^{0}

- 3 (2)^{1}