Basic Math Examples

$\frac{1 + \frac{3}{4}}{1 - \frac{10}{3}}$

Step 1

Multiply the numerator and denominator of the fraction by $12$ .

Tap for more steps...

Step 1.1

Multiply $\frac{1 + \frac{3}{4}}{1 - \frac{10}{3}}$ by $\frac{12}{12}$ .

$\frac{12}{12} \cdot \frac{1 + \frac{3}{4}}{1 - \frac{10}{3}}$

Step 1.2

Combine.

$\frac{12 (1 + \frac{3}{4})}{12 (1 - \frac{10}{3})}$

Step 2

Apply the distributive property.

$\frac{12 \cdot 1 + 12 (\frac{3}{4})}{12 \cdot 1 + 12 (- \frac{10}{3})}$

Step 3

Simplify by cancelling.

Tap for more steps...

Step 3.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1.1

Factor $4$ out of $12$ .

$\frac{12 \cdot 1 + 4 (3) \frac{3}{4}}{12 \cdot 1 + 12 (- \frac{10}{3})}$

Step 3.1.2

Cancel the common factor.

$\frac{12 \cdot 1 + 4 \cdot 3 \frac{3}{4}}{12 \cdot 1 + 12 (- \frac{10}{3})}$

Step 3.1.3

Rewrite the expression.

$\frac{12 \cdot 1 + 3 \cdot 3}{12 \cdot 1 + 12 (- \frac{10}{3})}$

Step 3.2

Multiply $3$ by $3$ .

$\frac{12 \cdot 1 + 9}{12 \cdot 1 + 12 (- \frac{10}{3})}$

Step 3.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.3.1

Move the leading negative in $- \frac{10}{3}$ into the numerator.

$\frac{12 \cdot 1 + 9}{12 \cdot 1 + 12 (\frac{- 10}{3})}$

Step 3.3.2

Factor $3$ out of $12$ .

$\frac{12 \cdot 1 + 9}{12 \cdot 1 + 3 (4) \frac{- 10}{3}}$

Step 3.3.3

Cancel the common factor.

$\frac{12 \cdot 1 + 9}{12 \cdot 1 + 3 \cdot 4 \frac{- 10}{3}}$

Step 3.3.4

Rewrite the expression.

$\frac{12 \cdot 1 + 9}{12 \cdot 1 + 4 \cdot - 10}$

Step 3.4

Multiply $4$ by $- 10$ .

$\frac{12 \cdot 1 + 9}{12 \cdot 1 - 40}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply $12$ by $1$ .

$\frac{12 + 9}{12 \cdot 1 - 40}$

Step 4.2

Add $12$ and $9$ .

$\frac{21}{12 \cdot 1 - 40}$

Step 5

Simplify the denominator.

Tap for more steps...

Step 5.1

Multiply $12$ by $1$ .

$\frac{21}{12 - 40}$

Step 5.2

Subtract $40$ from $12$ .

$\frac{21}{- 28}$

Step 6

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 6.1

Cancel the common factor of $21$ and $- 28$ .

Tap for more steps...

Step 6.1.1

Factor $7$ out of $21$ .

$\frac{7 (3)}{- 28}$

Step 6.1.2

Cancel the common factors.

Tap for more steps...

Step 6.1.2.1

Factor $7$ out of $- 28$ .

$\frac{7 \cdot 3}{7 \cdot - 4}$

Step 6.1.2.2

Cancel the common factor.

$\frac{7 \cdot 3}{7 \cdot - 4}$

Step 6.1.2.3

Rewrite the expression.

$\frac{3}{- 4}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{3}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{4}$

Decimal Form:

$- 0.75$