Basic Math Examples

2 \frac{3}{4} \div 6

$2 \frac{3}{4} \div 6$

Step 1

Convert

2 \frac{3}{4}

$2 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

(2 + \frac{3}{4}) \div 6

$(2 + \frac{3}{4}) \div 6$

Step 1.2

Add

2

$2$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

(2 \cdot \frac{4}{4} + \frac{3}{4}) \div 6

$(2 \cdot \frac{4}{4} + \frac{3}{4}) \div 6$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{2 \cdot 4}{4} + \frac{3}{4}) \div 6

$(\frac{2 \cdot 4}{4} + \frac{3}{4}) \div 6$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 3}{4} \div 6

$\frac{2 \cdot 4 + 3}{4} \div 6$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 3}{4} \div 6

$\frac{8 + 3}{4} \div 6$

Step 1.2.4.2

Add

8

$8$ and

3

$3$ .

\frac{11}{4} \div 6

$\frac{11}{4} \div 6$

\frac{11}{4} \div 6

$\frac{11}{4} \div 6$

\frac{11}{4} \div 6

$\frac{11}{4} \div 6$

\frac{11}{4} \div 6

$\frac{11}{4} \div 6$

Step 2

Rewrite the division as a fraction.

\frac{\frac{11}{4}}{6}

$\frac{\frac{11}{4}}{6}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{11}{4} \cdot \frac{1}{6}

$\frac{11}{4} \cdot \frac{1}{6}$

Step 4

Multiply

$\frac{11}{4} \cdot \frac{1}{6}$ .

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Step 4.1

Multiply

$\frac{11}{4}$ by

$\frac{1}{6}$ .

$\frac{11}{4 \cdot 6}$

Step 4.2

Multiply

$4$ by

$6$ .

$\frac{11}{24}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{24}$

Decimal Form:

$0.458\overline{3}$