What is 7/2-3+9/4-1/6 ?

The solution to 7/2-3+9/4-1/6 is 2 7/12

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7/2-3+9/4-1/6

\frac{7}{2} - 3 + \frac{9}{4} - \frac{1}{6}

2 \frac{7}{12}

Solution steps

\frac{7}{2} - 3 + \frac{9}{4} - \frac{1}{6}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{7}{2} - 3 = \frac{1}{2}

= \frac{1}{2} + \frac{9}{4} - \frac{1}{6}

\frac{1}{2} + \frac{9}{4} = \frac{11}{4}

= \frac{11}{4} - \frac{1}{6}

\frac{11}{4} - \frac{1}{6} = \frac{31}{12}

= \frac{31}{12}

Convert improper fractions to mixed numbers:

\frac{31}{12} = 2 \frac{7}{12}

= 2 \frac{7}{12}

- 1^{2} - 1 + 1

6 \div 3 + 9^{2} - 4

- 3^{2} + 5

- 3^{2} + 7 (- 3) + 1

32 - 19 + 43 - 18 + 35 - 53