Basic Math Examples

$(\frac{3}{4} + 2 \frac{3}{8}) \cdot 25.8$

Step 1

Convert $2 \frac{3}{8}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(\frac{3}{4} + 2 + \frac{3}{8}) \cdot 25.8$

Step 1.2

Add $2$ and $\frac{3}{8}$ .

Tap for more steps...

Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$(\frac{3}{4} + 2 \cdot \frac{8}{8} + \frac{3}{8}) \cdot 25.8$

Step 1.2.2

Combine $2$ and $\frac{8}{8}$ .

$(\frac{3}{4} + \frac{2 \cdot 8}{8} + \frac{3}{8}) \cdot 25.8$

Step 1.2.3

Combine the numerators over the common denominator.

$(\frac{3}{4} + \frac{2 \cdot 8 + 3}{8}) \cdot 25.8$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $2$ by $8$ .

$(\frac{3}{4} + \frac{16 + 3}{8}) \cdot 25.8$

Step 1.2.4.2

Add $16$ and $3$ .

$(\frac{3}{4} + \frac{19}{8}) \cdot 25.8$

Step 2

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{3}{4} \cdot \frac{2}{2} + \frac{19}{8}) \cdot 25.8$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$(\frac{3 \cdot 2}{4 \cdot 2} + \frac{19}{8}) \cdot 25.8$

Step 3.2

Multiply $4$ by $2$ .

$(\frac{3 \cdot 2}{8} + \frac{19}{8}) \cdot 25.8$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 19}{8} \cdot 25.8$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $3$ by $2$ .

$\frac{6 + 19}{8} \cdot 25.8$

Step 5.2

Add $6$ and $19$ .

$\frac{25}{8} \cdot 25.8$

Step 6

Multiply $\frac{25}{8} \cdot 25.8$ .

Tap for more steps...

Step 6.1

Combine $\frac{25}{8}$ and $25.8$ .

$\frac{25 \cdot 25.8}{8}$

Step 6.2

Multiply $25$ by $25.8$ .

$\frac{645}{8}$

Step 7

Cancel the common factor of $645$ and $8$ .

Tap for more steps...

Step 7.1

Rewrite $645$ as $1 (645)$ .

$\frac{1 (645)}{8}$

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Rewrite $8$ as $1 (8)$ .

$\frac{1 \cdot 645}{1 \cdot 8}$

Step 7.2.2

Cancel the common factor.

$\frac{1 \cdot 645}{1 \cdot 8}$

Step 7.2.3

Rewrite the expression.

$\frac{645}{8}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{645}{8}$

Decimal Form:

$80.625$

Mixed Number Form:

$80 \frac{5}{8}$