The solution to 1/2 (3+4)2 is 7

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1/2 (3+4)2

Solution

\frac{1}{2} (3 + 4) 2

7

Solution steps

\frac{1}{2} (3 + 4) \cdot 2

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 4) : 7

3 + 4

3 + 4 = 7

= 7

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

Multiply and divide (left to right)

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

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

\frac{1}{2} 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 2

\frac{7}{2} 2 = 7

\frac{7}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= \frac{7}{1}

Divide the numbers:

\frac{7}{1} = 7

= 7

= 7

= 7

2 - 4 \times (3 - 12)

[11 - (18 \div 9)^{2}] \times 7 + 7

26481 + 307 \cdot 5 + 300 + 20 + 90 \cdot 4 + 60

(26 - 14) \div 12

3 + 4 \times (3 + 1)