Basic Math Examples

(2.6 \div 1.2 - 4 \frac{1}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - 4 \frac{1}{2}) \div (0.75 - \frac{1}{3})$

Step 1

Convert

4 \frac{1}{2}

$4 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(2.6 \div 1.2 - (4 + \frac{1}{2})) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - (4 + \frac{1}{2})) \div (0.75 - \frac{1}{3})$

Step 1.2

Add

4

$4$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

(2.6 \div 1.2 - (4 \cdot \frac{2}{2} + \frac{1}{2})) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - (4 \cdot \frac{2}{2} + \frac{1}{2})) \div (0.75 - \frac{1}{3})$

Step 1.2.2

Combine

4

$4$ and

\frac{2}{2}

$\frac{2}{2}$ .

(2.6 \div 1.2 - (\frac{4 \cdot 2}{2} + \frac{1}{2})) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - (\frac{4 \cdot 2}{2} + \frac{1}{2})) \div (0.75 - \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

(2.6 \div 1.2 - \frac{4 \cdot 2 + 1}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{4 \cdot 2 + 1}{2}) \div (0.75 - \frac{1}{3})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

2

$2$ .

(2.6 \div 1.2 - \frac{8 + 1}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{8 + 1}{2}) \div (0.75 - \frac{1}{3})$

Step 1.2.4.2

Add

8

$8$ and

1

$1$ .

(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})$

(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})$

(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})$

(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 - \frac{1}{3})$

Step 2

To write

0.75

$0.75$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 \cdot \frac{3}{3} - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (0.75 \cdot \frac{3}{3} - \frac{1}{3})$

Step 3

Combine

0.75

$0.75$ and

\frac{3}{3}

$\frac{3}{3}$ .

(2.6 \div 1.2 - \frac{9}{2}) \div (\frac{0.75 \cdot 3}{3} - \frac{1}{3})

$(2.6 \div 1.2 - \frac{9}{2}) \div (\frac{0.75 \cdot 3}{3} - \frac{1}{3})$

Step 4

Combine the numerators over the common denominator.

$(2.6 \div 1.2 - \frac{9}{2}) \div \frac{0.75 \cdot 3 - 1}{3}$

Step 5

Rewrite

$\frac{0.75 \cdot 3 - 1}{3}$ in a factored form.

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Step 5.1

Multiply

$0.75$ by

$3$ .

$(2.6 \div 1.2 - \frac{9}{2}) \div \frac{2.25 - 1}{3}$

Step 5.2

Subtract

$1$ from

$2.25$ .

$(2.6 \div 1.2 - \frac{9}{2}) \div \frac{1.25}{3}$

Step 5.3

Divide

$1.25$ by

$3$ .

$(2.6 \div 1.2 - \frac{9}{2}) \div 0.41\overline{6}$