Basic Math Examples

$\frac{3}{4} \cdot \frac{2}{10} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.1.1

Factor $2$ out of $4$ .

$\frac{3}{2 (2)} \cdot \frac{2}{10} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1.1.2

Cancel the common factor.

$\frac{3}{2 \cdot 2} \cdot \frac{2}{10} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1.1.3

Rewrite the expression.

$\frac{3}{2} \cdot \frac{1}{10} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1.2

Multiply $\frac{3}{2}$ by $\frac{1}{10}$ .

$\frac{3}{2 \cdot 10} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1.3

Multiply $2$ by $10$ .

$\frac{3}{20} + \frac{3}{5} - \frac{14}{10} \cdot \frac{7}{2}$

Step 1.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.4.1

Move the leading negative in $- \frac{14}{10}$ into the numerator.

$\frac{3}{20} + \frac{3}{5} + \frac{- 14}{10} \cdot \frac{7}{2}$

Step 1.4.2

Factor $2$ out of $- 14$ .

$\frac{3}{20} + \frac{3}{5} + \frac{2 (- 7)}{10} \cdot \frac{7}{2}$

Step 1.4.3

Cancel the common factor.

$\frac{3}{20} + \frac{3}{5} + \frac{2 \cdot - 7}{10} \cdot \frac{7}{2}$

Step 1.4.4

Rewrite the expression.

$\frac{3}{20} + \frac{3}{5} + \frac{- 7}{10} \cdot 7$

Step 1.5

Combine $\frac{- 7}{10}$ and $7$ .

$\frac{3}{20} + \frac{3}{5} + \frac{- 7 \cdot 7}{10}$

Step 1.6

Multiply $- 7$ by $7$ .

$\frac{3}{20} + \frac{3}{5} + \frac{- 49}{10}$

Step 1.7

Move the negative in front of the fraction.

$\frac{3}{20} + \frac{3}{5} - \frac{49}{10}$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Multiply $\frac{3}{5}$ by $\frac{4}{4}$ .

$\frac{3}{20} + \frac{3}{5} \cdot \frac{4}{4} - \frac{49}{10}$

Step 2.2

Multiply $\frac{3}{5}$ by $\frac{4}{4}$ .

$\frac{3}{20} + \frac{3 \cdot 4}{5 \cdot 4} - \frac{49}{10}$

Step 2.3

Multiply $\frac{49}{10}$ by $\frac{2}{2}$ .

$\frac{3}{20} + \frac{3 \cdot 4}{5 \cdot 4} - (\frac{49}{10} \cdot \frac{2}{2})$

Step 2.4

Multiply $\frac{49}{10}$ by $\frac{2}{2}$ .

$\frac{3}{20} + \frac{3 \cdot 4}{5 \cdot 4} - \frac{49 \cdot 2}{10 \cdot 2}$

Step 2.5

Reorder the factors of $5 \cdot 4$ .

$\frac{3}{20} + \frac{3 \cdot 4}{4 \cdot 5} - \frac{49 \cdot 2}{10 \cdot 2}$

Step 2.6

Multiply $4$ by $5$ .

$\frac{3}{20} + \frac{3 \cdot 4}{20} - \frac{49 \cdot 2}{10 \cdot 2}$

Step 2.7

Reorder the factors of $10 \cdot 2$ .

$\frac{3}{20} + \frac{3 \cdot 4}{20} - \frac{49 \cdot 2}{2 \cdot 10}$

Step 2.8

Multiply $2$ by $10$ .

$\frac{3}{20} + \frac{3 \cdot 4}{20} - \frac{49 \cdot 2}{20}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 + 3 \cdot 4 - 49 \cdot 2}{20}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $3$ by $4$ .

$\frac{3 + 12 - 49 \cdot 2}{20}$

Step 4.2

Multiply $- 49$ by $2$ .

$\frac{3 + 12 - 98}{20}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Add $3$ and $12$ .

$\frac{15 - 98}{20}$

Step 5.2

Subtract $98$ from $15$ .

$\frac{- 83}{20}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{83}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{83}{20}$

Decimal Form:

$- 4.15$

Mixed Number Form:

$- 4 \frac{3}{20}$