What is 3\times 1/3-18/11 ?

The solution to 3\times 1/3-18/11 is -7/11

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3\times 1/3-18/11

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

- \frac{7}{11}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot \frac{1}{3} : 1

3 \cdot \frac{1}{3}

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= 1

= 1 - \frac{18}{11}

Add and subtract (left to right)

1 - \frac{18}{11} : - \frac{7}{11}

1 - \frac{18}{11}

1 - \frac{18}{11} = - \frac{7}{11}

1 - \frac{18}{11}

Convert element to fraction:

1 = \frac{1 \cdot 11}{11}

= \frac{1 \cdot 11}{11} - \frac{18}{11}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 11 - 18}{11}

1 \cdot 11 - 18 = - 7

1 \cdot 11 - 18

Multiply the numbers:

1 \cdot 11 = 11

= 11 - 18

Subtract the numbers:

11 - 18 = - 7

= - 7

= \frac{- 7}{11}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{7}{11}

= - \frac{7}{11}

= - \frac{7}{11}

(14 + 2)^{2} + 86

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

3 (- 4 - 10)^{2} - 7

44 - (4 \times 9 - 25) - 12

- 27 - 8 (- \frac{44}{15})