Basic Math Examples

6 \frac{3}{9} - 3 \frac{7}{9}

$6 \frac{3}{9} - 3 \frac{7}{9}$

Step 1

Convert

$6 \frac{3}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$6 + \frac{3}{9} - 3 \frac{7}{9}$

Step 1.2

Add

$6$ and

$\frac{3}{9}$ .

Tap for more steps...

Step 1.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$6 \cdot \frac{9}{9} + \frac{3}{9} - 3 \frac{7}{9}$

Step 1.2.2

Combine

$6$ and

$\frac{9}{9}$ .

$\frac{6 \cdot 9}{9} + \frac{3}{9} - 3 \frac{7}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 9 + 3}{9} - 3 \frac{7}{9}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$6$ by

$9$ .

$\frac{54 + 3}{9} - 3 \frac{7}{9}$

Step 1.2.4.2

Add

$54$ and

$3$ .

$\frac{57}{9} - 3 \frac{7}{9}$

Step 2

Convert

$3 \frac{7}{9}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{57}{9} - (3 + \frac{7}{9})$

Step 2.2

Add

$3$ and

$\frac{7}{9}$ .

Tap for more steps...

Step 2.2.1

To write

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

$\frac{9}{9}$ .

$\frac{57}{9} - (3 \cdot \frac{9}{9} + \frac{7}{9})$

Step 2.2.2

Combine

$3$ and

$\frac{9}{9}$ .

$\frac{57}{9} - (\frac{3 \cdot 9}{9} + \frac{7}{9})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{57}{9} - \frac{3 \cdot 9 + 7}{9}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$3$ by

$9$ .

$\frac{57}{9} - \frac{27 + 7}{9}$

Step 2.2.4.2

Add

$27$ and

$7$ .

$\frac{57}{9} - \frac{34}{9}$

Step 3

Combine the numerators over the common denominator.

$\frac{57 - 34}{9}$

Step 4

Subtract

$34$ from

$57$ .

$\frac{23}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{9}$

Decimal Form:

$2.\overline{5}$

Mixed Number Form:

$2 \frac{5}{9}$