What is 38\div 6-75 ?

The solution to 38\div 6-75 is -206/3

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38\div 6-75

38 \div 6 - 75

- \frac{206}{3}

Solution steps

38 \div 6 - 75

Follow the PEMDAS order of operations

Multiply and divide (left to right)

38 \div 6 : \frac{38}{6}

38 \div 6

38 \div 6 = \frac{38}{6}

= \frac{38}{6}

= \frac{38}{6} - 75

Add and subtract (left to right)

\frac{38}{6} - 75 : - \frac{206}{3}

\frac{38}{6} - 75

\frac{38}{6} - 75 = - \frac{206}{3}

\frac{38}{6} - 75

Cancel

\frac{38}{6} : \frac{19}{3}

\frac{38}{6}

Cancel the common factor:

2

= \frac{19}{3}

= \frac{19}{3} - 75

Convert element to fraction:

75 = \frac{75 \cdot 3}{3}

= - \frac{75 \cdot 3}{3} + \frac{19}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 75 \cdot 3 + 19}{3}

- 75 \cdot 3 + 19 = - 206

- 75 \cdot 3 + 19

Multiply the numbers:

75 \cdot 3 = 225

= - 225 + 19

Add/Subtract the numbers:

- 225 + 19 = - 206

= - 206

= \frac{- 206}{3}

Apply the fraction rule:

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

= - \frac{206}{3}

= - \frac{206}{3}

= - \frac{206}{3}

25 - 3^{2}

- 8 + [- (13 + (- 5) - 4 + 16)] - 15

5000 - 11% - 27%

- (- 1)^{4} - (- 1)^{3} + (- 1^{2}) + (- 1) - 1

\frac{5 ^{2} - 16}{5 - 4}