Basic Math Examples

- 2.3 - (4.5 - 3 \frac{1}{2})

$- 2.3 - (4.5 - 3 \frac{1}{2})$

Step 1

Convert

3 \frac{1}{2}

$3 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

- 2.3 - (4.5 - (3 + \frac{1}{2}))

$- 2.3 - (4.5 - (3 + \frac{1}{2}))$

Step 1.2

Add

3

$3$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- 2.3 - (4.5 - (3 \cdot \frac{2}{2} + \frac{1}{2}))

$- 2.3 - (4.5 - (3 \cdot \frac{2}{2} + \frac{1}{2}))$

Step 1.2.2

Combine

3

$3$ and

\frac{2}{2}

$\frac{2}{2}$ .

- 2.3 - (4.5 - (\frac{3 \cdot 2}{2} + \frac{1}{2}))

$- 2.3 - (4.5 - (\frac{3 \cdot 2}{2} + \frac{1}{2}))$

Step 1.2.3

Combine the numerators over the common denominator.

- 2.3 - (4.5 - \frac{3 \cdot 2 + 1}{2})

$- 2.3 - (4.5 - \frac{3 \cdot 2 + 1}{2})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

2

$2$ .

- 2.3 - (4.5 - \frac{6 + 1}{2})

$- 2.3 - (4.5 - \frac{6 + 1}{2})$

Step 1.2.4.2

Add

6

$6$ and

1

$1$ .

- 2.3 - (4.5 - \frac{7}{2})

$- 2.3 - (4.5 - \frac{7}{2})$

- 2.3 - (4.5 - \frac{7}{2})

$- 2.3 - (4.5 - \frac{7}{2})$

- 2.3 - (4.5 - \frac{7}{2})

$- 2.3 - (4.5 - \frac{7}{2})$

- 2.3 - (4.5 - \frac{7}{2})

$- 2.3 - (4.5 - \frac{7}{2})$

Step 2

Simplify each term.

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Step 2.1

To write

4.5

$4.5$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- 2.3 - (4.5 \cdot \frac{2}{2} - \frac{7}{2})

$- 2.3 - (4.5 \cdot \frac{2}{2} - \frac{7}{2})$

Step 2.2

Combine

4.5

$4.5$ and

\frac{2}{2}

$\frac{2}{2}$ .

- 2.3 - (\frac{4.5 \cdot 2}{2} - \frac{7}{2})

$- 2.3 - (\frac{4.5 \cdot 2}{2} - \frac{7}{2})$

Step 2.3

Combine the numerators over the common denominator.

- 2.3 - \frac{4.5 \cdot 2 - 7}{2}

$- 2.3 - \frac{4.5 \cdot 2 - 7}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

4.5

$4.5$ by

2

$2$ .

- 2.3 - \frac{9 - 7}{2}

$- 2.3 - \frac{9 - 7}{2}$

Step 2.4.2

Subtract

7

$7$ from

9

$9$ .

- 2.3 - \frac{2}{2}

$- 2.3 - \frac{2}{2}$

- 2.3 - \frac{2}{2}

$- 2.3 - \frac{2}{2}$

Step 2.5

Cancel the common factor of

2

$2$ and

2

$2$ .

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Step 2.5.1

Cancel the common factor.

$- 2.3 - \frac{2}{2}$

Step 2.5.2

Rewrite the expression.

$- 2.3 - 1 \cdot 1$

Step 2.6

Multiply

$- 1$ by

$1$ .

$- 2.3 - 1$

Step 3

Subtract

$1$ from

$- 2.3$ .

$- 3.3$