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

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

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

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

1 \frac{1}{4}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{2} + 1 - \frac{1}{4}) : \frac{9}{4}

= \frac{7}{2} - \frac{9}{4}

Add and subtract (left to right)

\frac{7}{2} - \frac{9}{4} : \frac{5}{4}

= \frac{5}{4}

Convert improper fractions to mixed numbers:

\frac{5}{4} = 1 \frac{1}{4}

= 1 \frac{1}{4}

2 (1)^{2} + 1

2 (1)^{2} - 4

15 - 2 (- 5) - (20 - 4) /8

(1 + 4)^{2}

2 (7)^{2}