Basic Math Examples

2 \frac{2}{3} \cdot 1 \frac{3}{4}

$2 \frac{2}{3} \cdot 1 \frac{3}{4}$

Step 1

Convert

2 \frac{2}{3}

$2 \frac{2}{3}$ 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{2}{3}) \cdot 1 \frac{3}{4}

$(2 + \frac{2}{3}) \cdot 1 \frac{3}{4}$

Step 1.2

Add

2

$2$ and

\frac{2}{3}

$\frac{2}{3}$ .

Tap for more steps...

Step 1.2.1

To write

2

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

\frac{3}{3}

$\frac{3}{3}$ .

(2 \cdot \frac{3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{4}

$(2 \cdot \frac{3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{4}$

Step 1.2.2

Combine

2

$2$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{2 \cdot 3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{4}

$(\frac{2 \cdot 3}{3} + \frac{2}{3}) \cdot 1 \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 3 + 2}{3} \cdot 1 \frac{3}{4}

$\frac{2 \cdot 3 + 2}{3} \cdot 1 \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

2

$2$ by

3

$3$ .

\frac{6 + 2}{3} \cdot 1 \frac{3}{4}

$\frac{6 + 2}{3} \cdot 1 \frac{3}{4}$

Step 1.2.4.2

Add

6

$6$ and

2

$2$ .

\frac{8}{3} \cdot 1 \frac{3}{4}

$\frac{8}{3} \cdot 1 \frac{3}{4}$

\frac{8}{3} \cdot 1 \frac{3}{4}

$\frac{8}{3} \cdot 1 \frac{3}{4}$

\frac{8}{3} \cdot 1 \frac{3}{4}

$\frac{8}{3} \cdot 1 \frac{3}{4}$

\frac{8}{3} \cdot 1 \frac{3}{4}

$\frac{8}{3} \cdot 1 \frac{3}{4}$

Step 2

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{8}{3} \cdot (1 + \frac{3}{4})

$\frac{8}{3} \cdot (1 + \frac{3}{4})$

Step 2.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

Tap for more steps...

Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{8}{3} \cdot (\frac{4}{4} + \frac{3}{4})

$\frac{8}{3} \cdot (\frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{8}{3} \cdot \frac{4 + 3}{4}

$\frac{8}{3} \cdot \frac{4 + 3}{4}$

Step 2.2.3

Add

4

$4$ and

3

$3$ .

\frac{8}{3} \cdot \frac{7}{4}

$\frac{8}{3} \cdot \frac{7}{4}$

\frac{8}{3} \cdot \frac{7}{4}

$\frac{8}{3} \cdot \frac{7}{4}$

\frac{8}{3} \cdot \frac{7}{4}

$\frac{8}{3} \cdot \frac{7}{4}$

Step 3

Cancel the common factor of

4

$4$ .

Tap for more steps...

Step 3.1

Factor

4

$4$ out of

8

$8$ .

\frac{4 (2)}{3} \cdot \frac{7}{4}

$\frac{4 (2)}{3} \cdot \frac{7}{4}$

Step 3.2

Cancel the common factor.

$\frac{4 \cdot 2}{3} \cdot \frac{7}{4}$

Step 3.3

Rewrite the expression.

$\frac{2}{3} \cdot 7$

Step 4

Combine

$\frac{2}{3}$ and

$7$ .

$\frac{2 \cdot 7}{3}$

Step 5

Multiply

$2$ by

$7$ .

$\frac{14}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{3}$

Decimal Form:

$4.\overline{6}$

Mixed Number Form:

$4 \frac{2}{3}$