What is 2+(7/3-5/6)-1/4 ?

The solution to 2+(7/3-5/6)-1/4 is 3 1/4

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2+(7/3-5/6)-1/4

2 + (\frac{7}{3} - \frac{5}{6}) - \frac{1}{4}

3 \frac{1}{4}

Solution steps

2 + (\frac{7}{3} - \frac{5}{6}) - \frac{1}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{7}{3} - \frac{5}{6}) : \frac{3}{2}

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

Add and subtract (left to right)

2 + \frac{3}{2} - \frac{1}{4} : \frac{13}{4}

= \frac{13}{4}

Convert improper fractions to mixed numbers:

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

= 3 \frac{1}{4}

2 (5)^{2}

4^{2} + 8^{2}

1 - (\frac{1}{3} + \frac{1}{4})

20 \times 2 - (10 - 4)

\frac{1}{2} (2)^{2}