What is 5/4-(1/12-5/3) ?

The solution to 5/4-(1/12-5/3) is 2 5/6

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5/4-(1/12-5/3)

\frac{5}{4} - (\frac{1}{12} - \frac{5}{3})

2 \frac{5}{6}

Solution steps

\frac{5}{4} - (\frac{1}{12} - \frac{5}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{12} - \frac{5}{3}) : - \frac{19}{12}

= \frac{5}{4} - (- \frac{19}{12})

Add and subtract (left to right)

\frac{5}{4} - (- \frac{19}{12}) : \frac{17}{6}

= \frac{17}{6}

Convert improper fractions to mixed numbers:

\frac{17}{6} = 2 \frac{5}{6}

= 2 \frac{5}{6}

- 2 + 2 + 1

[(9 + 4^{2} \div 8) + 16] \div 3^{2}

(- 2 \times (- 3) \times (- 4))^{2}

(7 - 4) \times 5

4 - 29 - 101 + 91 + 9