What is 4 1/3 \times (3+5/2) ?

The solution to 4 1/3 \times (3+5/2) is 23 5/6

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4 1/3 \times (3+5/2)

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

23 \frac{5}{6}

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{3} = \frac{13}{3}

= \frac{13}{3} \cdot (3 + \frac{5}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + \frac{5}{2}) : \frac{11}{2}

= \frac{13}{3} \cdot \frac{11}{2}

Multiply and divide (left to right)

\frac{13}{3} \cdot \frac{11}{2} : \frac{143}{6}

= \frac{143}{6}

Convert improper fractions to mixed numbers:

\frac{143}{6} = 23 \frac{5}{6}

= 23 \frac{5}{6}

(- 5) + (- 3) \cdot (- 4) - (- 10) \cdot (- 2)

(- 2 \times 3)^{2}

1 + (- 2) - 8

- 2^{0} + 3

\frac{1}{2} \cdot 2^{0}