What is 11\div 2+3 1/2 ?

The solution to 11\div 2+3 1/2 is 9

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11\div 2+3 1/2

11 \div 2 + 3 \frac{1}{2}

9

Solution steps

11 \div 2 + 3 \frac{1}{2}

Convert mixed numbers to improper fractions:

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

3 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

3 \frac{1}{2} = \frac{3 \cdot 2 + 1}{2}

= \frac{7}{2}

= 11 \div 2 + \frac{7}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

11 \div 2 : \frac{11}{2}

11 \div 2

11 \div 2 = \frac{11}{2}

= \frac{11}{2}

= \frac{11}{2} + \frac{7}{2}

Add and subtract (left to right)

\frac{11}{2} + \frac{7}{2} : 9

\frac{11}{2} + \frac{7}{2}

\frac{11}{2} + \frac{7}{2} = 9

\frac{11}{2} + \frac{7}{2}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{11 + 7}{2}

Add the numbers:

11 + 7 = 18

= \frac{18}{2}

Divide the numbers:

\frac{18}{2} = 9

= 9

= 9

= 9

10 \times 5 + 3

2 + 1 \times \frac{2}{5}

4 (2)^{1}

(84 + 65) - 41 + 75

1 3^{2} + 1 4^{2}