What is 2-1/2 \times 3 ?

The solution to 2-1/2 \times 3 is 1/2

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2-1/2 \times 3

2 - \frac{1}{2} \cdot 3

\frac{1}{2}

Solution steps

2 - \frac{1}{2} \cdot 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{2} \cdot 3 : \frac{3}{2}

\frac{1}{2} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{1}{2} \cdot \frac{3}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 3}{2 \cdot 1}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3}{2}

= 2 - \frac{3}{2}

Add and subtract (left to right)

2 - \frac{3}{2} : \frac{1}{2}

2 - \frac{3}{2}

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

2 - \frac{3}{2}

Convert element to fraction:

2 = \frac{2 \cdot 2}{2}

= \frac{2 \cdot 2}{2} - \frac{3}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 \cdot 2 - 3}{2}

2 \cdot 2 - 3 = 1

2 \cdot 2 - 3

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 3

Subtract the numbers:

4 - 3 = 1

= 1

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

1 5^{2} + 1 3^{2}

(- 1)^{2} - 6 (- 1) + 9

(- 2)^{2} - 4 (- 2)

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

80 - 3 \frac{3}{5} - 4 \frac{3}{10}