What is 1/4+2-5/2+6 ?

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

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1/4+2-5/2+6

\frac{1}{4} + 2 - \frac{5}{2} + 6

5 \frac{3}{4}

Solution steps

\frac{1}{4} + 2 - \frac{5}{2} + 6

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

= \frac{9}{4} - \frac{5}{2} + 6

\frac{9}{4} - \frac{5}{2} = - \frac{1}{4}

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

- \frac{1}{4} + 6 = \frac{23}{4}

= \frac{23}{4}

Convert improper fractions to mixed numbers:

\frac{23}{4} = 5 \frac{3}{4}

= 5 \frac{3}{4}

15 + (- 6) - 3 + 6

(5) (- 3) (- 4) - 24 \div 6

2 (0)^{3} + (1)^{4}

- 5^{2} \times 3 - 1

\frac{1}{4} (2468) + 43