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

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

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

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

- \frac{5}{4}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} + \frac{1}{4}) : \frac{3}{4}

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

Calculate within parentheses

(\frac{1}{3} + \frac{5}{3}) : 2

= \frac{3}{4} - 2

Add and subtract (left to right)

\frac{3}{4} - 2 : - \frac{5}{4}

= - \frac{5}{4}

2 x + 1 > 2 + 2 x + 1

9 (- 3) + 4 (- 2) < 14

\frac{2}{6 + 2}

5 x + 10 = 5 x + 20

7^{- \frac{1}{6}}