What is (6-5/2)(3+8/3) ?

The solution to (6-5/2)(3+8/3) is 19 5/6

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(6-5/2)(3+8/3)

(6 - \frac{5}{2}) (3 + \frac{8}{3})

19 \frac{5}{6}

Solution steps

(6 - \frac{5}{2}) (3 + \frac{8}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{5}{2}) : \frac{7}{2}

= \frac{7}{2} (3 + \frac{8}{3})

Calculate within parentheses

(3 + \frac{8}{3}) : \frac{17}{3}

= \frac{7}{2} \cdot \frac{17}{3}

Multiply and divide (left to right)

\frac{7}{2} \cdot \frac{17}{3} : \frac{119}{6}

= \frac{119}{6}

Convert improper fractions to mixed numbers:

\frac{119}{6} = 19 \frac{5}{6}

= 19 \frac{5}{6}

(3)^{2} - (12 - 6) + 7 + 5 (6 + 2)^{2}

11 + [(5 - 4) \times (3 - 2 - 1)]

15 (2)^{2} + 10 (2)

\frac{1}{2} + 15 \div 3 + (4^{2} + 3)

- 8 (- 2)^{3} + 9 (- 2)^{2} - 2 (- 2)