What is 3-(8-5 2/3 \times 2/17) ?

The solution to 3-(8-5 2/3 \times 2/17) is -13/3

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3-(8-5 2/3 \times 2/17)

3 - (8 - 5 \frac{2}{3} \cdot \frac{2}{17})

- \frac{13}{3}

Solution steps

3 - (8 - 5 \frac{2}{3} \cdot \frac{2}{17})

Convert mixed numbers to improper fractions:

5 \frac{2}{3} = \frac{17}{3}

5 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

5 \frac{2}{3} = \frac{5 \cdot 3 + 2}{3}

= \frac{17}{3}

= 3 - (8 - \frac{17}{3} \cdot \frac{2}{17})

Follow the PEMDAS order of operations

Calculate within parentheses

(8 - \frac{17}{3} \cdot \frac{2}{17}) : \frac{22}{3}

8 - \frac{17}{3} \cdot \frac{2}{17}

Multiply and divide (left to right)

\frac{17}{3} \cdot \frac{2}{17} : \frac{2}{3}

\frac{17}{3} \cdot \frac{2}{17}

\frac{17}{3} \cdot \frac{2}{17} = \frac{2}{3}

= \frac{2}{3}

= 8 - \frac{2}{3}

Add and subtract (left to right)

8 - \frac{2}{3} : \frac{22}{3}

8 - \frac{2}{3}

8 - \frac{2}{3} = \frac{22}{3}

8 - \frac{2}{3}

Convert element to fraction:

8 = \frac{8 \cdot 3}{3}

= \frac{8 \cdot 3}{3} - \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 3 - 2}{3}

8 \cdot 3 - 2 = 22

8 \cdot 3 - 2

Multiply the numbers:

8 \cdot 3 = 24

= 24 - 2

Subtract the numbers:

24 - 2 = 22

= 22

= \frac{22}{3}

= \frac{22}{3}

= \frac{22}{3}

= 3 - \frac{22}{3}

Add and subtract (left to right)

3 - \frac{22}{3} : - \frac{13}{3}

3 - \frac{22}{3}

3 - \frac{22}{3} = - \frac{13}{3}

3 - \frac{22}{3}

Convert element to fraction:

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

= \frac{3 \cdot 3}{3} - \frac{22}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 3 - 22}{3}

3 \cdot 3 - 22 = - 13

3 \cdot 3 - 22

Multiply the numbers:

3 \cdot 3 = 9

= 9 - 22

Subtract the numbers:

9 - 22 = - 13

= - 13

= \frac{- 13}{3}

Apply the fraction rule:

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

= - \frac{13}{3}

= - \frac{13}{3}

= - \frac{13}{3}

(3)^{2} + 5 (3) - 6

(5/5 + 8/4 + 8/3 + 10/2 + 9/3) /5

2^{3} + 7 (2)

10 \div 2 \times (- (12 \div 3 \times 4)) + 1

4 + (5 - (8 + (3 + 4 - 8) - (2 + 1)) 6)

What is 3-(8-5 2/3 \times 2/17) ?
The solution to 3-(8-5 2/3 \times 2/17) is -13/3