Basic Math Examples

${(2 - \frac{3}{5})}^{2}$

Step 1

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

${(2 \cdot \frac{5}{5} - \frac{3}{5})}^{2}$

Step 2

Combine $2$ and $\frac{5}{5}$ .

${(\frac{2 \cdot 5}{5} - \frac{3}{5})}^{2}$

Step 3

Combine the numerators over the common denominator.

${(\frac{2 \cdot 5 - 3}{5})}^{2}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply $2$ by $5$ .

${(\frac{10 - 3}{5})}^{2}$

Step 4.2

Subtract $3$ from $10$ .

${(\frac{7}{5})}^{2}$

Step 5

Apply the product rule to $\frac{7}{5}$ .

$\frac{7^{2}}{5^{2}}$

Step 6

Raise $7$ to the power of $2$ .

$\frac{49}{5^{2}}$

Step 7

Raise $5$ to the power of $2$ .

$\frac{49}{25}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{25}$

Decimal Form:

$1.96$

Mixed Number Form:

$1 \frac{24}{25}$