What is (18\div 3)\times 2 1/6 ?

The solution to (18\div 3)\times 2 1/6 is 13

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(18\div 3)\times 2 1/6

(18 \div 3) \times 2 \frac{1}{6}

13

Solution steps

(18 \div 3) \times 2 \frac{1}{6}

Convert mixed numbers to improper fractions:

2 \frac{1}{6} = \frac{13}{6}

2 \frac{1}{6}

Convert mixed numbers to improper fraction:

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

2 \frac{1}{6} = \frac{2 \cdot 6 + 1}{6}

= \frac{13}{6}

= (18 \div 3) \times \frac{13}{6}

Follow the PEMDAS order of operations

Calculate within parentheses

(18 \div 3) : 6

18 \div 3

18 \div 3 = 6

= 6

= 6 \times \frac{13}{6}

Multiply and divide (left to right)

6 \times \frac{13}{6} : 13

6 \times \frac{13}{6}

Convert element to fraction:

6 = \frac{6}{1}

= \frac{6}{1} \cdot \frac{13}{6}

Cross-cancel common factor:

6

= \frac{13}{1}

Divide the numbers:

\frac{13}{1} = 13

= 13

= 13

(- 7)^{3} \times (- 7)

1 \div 2 + 2

3 \times \frac{1}{3} - \frac{18}{11}

(14 + 2)^{2} + 86

\frac{( - 7 ) ^{12}}{( - 7 ) ^{5}}