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

The solution to (1 1/3-2)\times 6 is -4

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(1 1/3-2)\times 6

(1 \frac{1}{3} - 2) \cdot 6

- 4

Solution steps

(1 \frac{1}{3} - 2) \cdot 6

Convert mixed numbers to improper fractions:

1 \frac{1}{3} = \frac{4}{3}

1 \frac{1}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{4}{3}

= (\frac{4}{3} - 2) \cdot 6

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{4}{3} - 2) : - \frac{2}{3}

\frac{4}{3} - 2

\frac{4}{3} - 2 = - \frac{2}{3}

\frac{4}{3} - 2

Convert element to fraction:

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

= - \frac{2 \cdot 3}{3} + \frac{4}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 3 + 4}{3}

- 2 \cdot 3 + 4 = - 2

- 2 \cdot 3 + 4

Multiply the numbers:

2 \cdot 3 = 6

= - 6 + 4

Add/Subtract the numbers:

- 6 + 4 = - 2

= - 2

= \frac{- 2}{3}

Apply the fraction rule:

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

= - \frac{2}{3}

= - \frac{2}{3}

= - \frac{2}{3} \cdot 6

Multiply and divide (left to right)

- \frac{2}{3} \cdot 6 : - 4

- \frac{2}{3} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{2}{3} \cdot \frac{6}{1}

Apply the fraction rule:

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

\frac{2}{3} \cdot \frac{6}{1} = \frac{2 \cdot 6}{3 \cdot 1}

= - \frac{2 \cdot 6}{3 \cdot 1}

Cancel

\frac{2 \cdot 6}{3 \cdot 1} : 4

\frac{2 \cdot 6}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2 \cdot 6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= - 4

= - 4

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

15 \times 37 + 15 \times 63

\frac{2}{3} + (\frac{1}{2} - \frac{5}{4})

- ((- 8 \div 2) + (4 \times (- 24)) \div (- 3 + (- 1)))

[4 \div 7 (6 + 40) - 5 \div 4 (7 - 9 + 54)] \times 5