What is 125/3-6*25/2+5 ?

The solution to 125/3-6*25/2+5 is -85/3

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125/3-6*25/2+5

\frac{125}{3} - 6 \cdot \frac{25}{2} + 5

- \frac{85}{3}

Solution steps

\frac{125}{3} - 6 \cdot \frac{25}{2} + 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

6 \cdot \frac{25}{2} : 75

6 \cdot \frac{25}{2}

Convert element to fraction:

6 = \frac{6}{1}

= \frac{6}{1} \cdot \frac{25}{2}

Apply the fraction rule:

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

= \frac{6 \cdot 25}{1 \cdot 2}

Cancel

\frac{6 \cdot 25}{1 \cdot 2} : 75

\frac{6 \cdot 25}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{6 \cdot 25}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 \cdot 25

Multiply the numbers:

3 \cdot 25 = 75

= 75

= 75

= \frac{125}{3} - 75 + 5

Add and subtract (left to right)

\frac{125}{3} - 75 + 5 : - \frac{85}{3}

\frac{125}{3} - 75 + 5

\frac{125}{3} - 75 = - \frac{100}{3}

\frac{125}{3} - 75

Convert element to fraction:

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

= - \frac{75 \cdot 3}{3} + \frac{125}{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 + 125}{3}

- 75 \cdot 3 + 125 = - 100

- 75 \cdot 3 + 125

Multiply the numbers:

75 \cdot 3 = 225

= - 225 + 125

Add/Subtract the numbers:

- 225 + 125 = - 100

= - 100

= \frac{- 100}{3}

Apply the fraction rule:

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

= - \frac{100}{3}

= - \frac{100}{3} + 5

- \frac{100}{3} + 5 = - \frac{85}{3}

- \frac{100}{3} + 5

Convert element to fraction:

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

= \frac{5 \cdot 3}{3} - \frac{100}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 3 - 100}{3}

5 \cdot 3 - 100 = - 85

5 \cdot 3 - 100

Multiply the numbers:

5 \cdot 3 = 15

= 15 - 100

Subtract the numbers:

15 - 100 = - 85

= - 85

= \frac{- 85}{3}

Apply the fraction rule:

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

= - \frac{85}{3}

= - \frac{85}{3}

= - \frac{85}{3}

100 \div 5 \times 3 - 46

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

3^{7} \cdot 3

(5 - 2)^{2} - 2^{2}

(36 \times 2) \div 12