Basic Math Examples

$(\frac{9}{4} - \frac{1}{4}) \div \frac{4}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{9}{4} - \frac{1}{4}) \frac{7}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{9 - 1}{4} \cdot \frac{7}{4}$

Step 3

Subtract $1$ from $9$ .

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

Step 4

Cancel the common factor of $4$ .

Tap for more steps...

Step 4.1

Factor $4$ out of $8$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

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

Step 5

Combine $\frac{2}{4}$ and $7$ .

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

Step 6

Multiply $2$ by $7$ .

$\frac{14}{4}$

Step 7

Cancel the common factor of $14$ and $4$ .

Tap for more steps...

Step 7.1

Factor $2$ out of $14$ .

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

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Factor $2$ out of $4$ .

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

Step 7.2.2

Cancel the common factor.

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

Step 7.2.3

Rewrite the expression.

$\frac{7}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$