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

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

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

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

4 \frac{1}{2}

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

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

Convert mixed numbers to improper fractions:

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

= (\frac{5}{2} + \frac{13}{4}) - \frac{5}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{5}{2} + \frac{13}{4}) : \frac{23}{4}

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

Add and subtract (left to right)

\frac{23}{4} - \frac{5}{4} : \frac{9}{2}

= \frac{9}{2}

Convert improper fractions to mixed numbers:

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

= 4 \frac{1}{2}

[6 \times 3 + (3 \times 1)] - 10

- 6 - (- 9) \div 3

20 \cdot (- 1) + 30

2 + 3 \cdot \frac{3}{5}

8 (- 2)^{3} - 8 (- 2)