Basic Math Examples

2 \frac{1}{8} \div \frac{1}{3}

$2 \frac{1}{8} \div \frac{1}{3}$

Step 1

Convert

2 \frac{1}{8}

$2 \frac{1}{8}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

(2 + \frac{1}{8}) \div \frac{1}{3}

$(2 + \frac{1}{8}) \div \frac{1}{3}$

Step 1.2

Add

2

$2$ and

\frac{1}{8}

$\frac{1}{8}$ .

Tap for more steps...

Step 1.2.1

To write

2

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

\frac{8}{8}

$\frac{8}{8}$ .

(2 \cdot \frac{8}{8} + \frac{1}{8}) \div \frac{1}{3}

$(2 \cdot \frac{8}{8} + \frac{1}{8}) \div \frac{1}{3}$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{2 \cdot 8}{8} + \frac{1}{8}) \div \frac{1}{3}

$(\frac{2 \cdot 8}{8} + \frac{1}{8}) \div \frac{1}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 1}{8} \div \frac{1}{3}

$\frac{2 \cdot 8 + 1}{8} \div \frac{1}{3}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 1}{8} \div \frac{1}{3}

$\frac{16 + 1}{8} \div \frac{1}{3}$

Step 1.2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{8} \div \frac{1}{3}

$\frac{17}{8} \div \frac{1}{3}$

\frac{17}{8} \div \frac{1}{3}

$\frac{17}{8} \div \frac{1}{3}$

\frac{17}{8} \div \frac{1}{3}

$\frac{17}{8} \div \frac{1}{3}$

\frac{17}{8} \div \frac{1}{3}

$\frac{17}{8} \div \frac{1}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{17}{8} \cdot 3

$\frac{17}{8} \cdot 3$

Step 3

Multiply

\frac{17}{8} \cdot 3

$\frac{17}{8} \cdot 3$ .

Tap for more steps...

Step 3.1

Combine

\frac{17}{8}

$\frac{17}{8}$ and

3

$3$ .

\frac{17 \cdot 3}{8}

$\frac{17 \cdot 3}{8}$

Step 3.2

Multiply

17

$17$ by

3

$3$ .

\frac{51}{8}

$\frac{51}{8}$

\frac{51}{8}

$\frac{51}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{51}{8}

$\frac{51}{8}$

Decimal Form:

6.375

$6.375$

Mixed Number Form:

6 \frac{3}{8}

$6 \frac{3}{8}$