What is 6+5 1/3-4 1/6-1 1/2 ?

The solution to 6+5 1/3-4 1/6-1 1/2 is 5 2/3

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6+5 1/3-4 1/6-1 1/2

6 + 5 \frac{1}{3} - 4 \frac{1}{6} - 1 \frac{1}{2}

5 \frac{2}{3}

Solution steps

6 + 5 \frac{1}{3} - 4 \frac{1}{6} - 1 \frac{1}{2}

Convert mixed numbers to improper fractions:

5 \frac{1}{3} = \frac{16}{3}

= 6 + \frac{16}{3} - 4 \frac{1}{6} - 1 \frac{1}{2}

Convert mixed numbers to improper fractions:

4 \frac{1}{6} = \frac{25}{6}

= 6 + \frac{16}{3} - \frac{25}{6} - 1 \frac{1}{2}

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

= 6 + \frac{16}{3} - \frac{25}{6} - \frac{3}{2}

Follow the PEMDAS order of operations

Add and subtract (left to right)

6 + \frac{16}{3} - \frac{25}{6} - \frac{3}{2} : \frac{17}{3}

= \frac{17}{3}

Convert improper fractions to mixed numbers:

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

= 5 \frac{2}{3}

(3 - 8) (- 2) + (8 \div 4)

3 \times 1 0^{1}

(3 + 3)^{3}

(0 - 1)^{3}

512 + 3 (64) \times 5 + 3 (8) \times (25) + 25