What is 1/2*7(15+11) ?

The solution to 1/2*7(15+11) is 91

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1/2*7(15+11)

\frac{1}{2} \cdot 7 (15 + 11)

91

Solution steps

\frac{1}{2} \cdot 7 (15 + 11)

Follow the PEMDAS order of operations

Calculate within parentheses

(15 + 11) : 26

15 + 11

15 + 11 = 26

= 26

= \frac{1}{2} \cdot 7 \cdot 26

Multiply and divide (left to right)

\frac{1}{2} \cdot 7 \cdot 26 : 91

\frac{1}{2} \cdot 7 \cdot 26

\frac{1}{2} \cdot 7 = \frac{7}{2}

\frac{1}{2} \cdot 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{1}{2} \cdot \frac{7}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 7}{2 \cdot 1}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{7}{2}

= \frac{7}{2} \cdot 26

\frac{7}{2} 26 = 91

\frac{7}{2} \cdot 26

Convert element to fraction:

26 = \frac{26}{1}

= \frac{7}{2} \cdot \frac{26}{1}

Apply the fraction rule:

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

= \frac{7 \cdot 26}{2 \cdot 1}

Cancel

\frac{7 \cdot 26}{2 \cdot 1} : 91

\frac{7 \cdot 26}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{7 \cdot 26}{2}

Divide the numbers:

\frac{26}{2} = 13

= 7 \cdot 13

Multiply the numbers:

7 \cdot 13 = 91

= 91

= 91

= 91

= 91

- 22 + 65 + (- 30)

10 + 5 + (- 10)

3 \cdot 2^{2} - 2 \cdot 2 \cdot (- 3) - 4 \cdot (- 3^{2})

1 + 2^{2}

2 + 3 \cdot 5