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

The solution to 4 1/2+(3/5-1/6) is 4 14/15

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

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

4 \frac{14}{15}

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

= \frac{9}{2} + (\frac{3}{5} - \frac{1}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{5} - \frac{1}{6}) : \frac{13}{30}

= \frac{9}{2} + \frac{13}{30}

Add and subtract (left to right)

\frac{9}{2} + \frac{13}{30} : \frac{74}{15}

= \frac{74}{15}

Convert improper fractions to mixed numbers:

\frac{74}{15} = 4 \frac{14}{15}

= 4 \frac{14}{15}

3^{4} + 3^{2}

(- 25) + (+ 5) + (+ 40) + (- 10)

2 (0) - 5

4 \times (5^{2} - 12) - 6

- 7^{2} + 4 (- 7) - 3