Basic Math Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

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

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

Step 3

To write $- \frac{7}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 4

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

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

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

Step 4.2

Multiply $4$ by $3$ .

$\frac{3 \cdot 3}{12} - \frac{7}{3} \cdot \frac{4}{4}$

Step 4.3

Multiply $\frac{7}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 3}{12} - \frac{7 \cdot 4}{3 \cdot 4}$

Step 4.4

Multiply $3$ by $4$ .

$\frac{3 \cdot 3}{12} - \frac{7 \cdot 4}{12}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 7 \cdot 4}{12}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $3$ by $3$ .

$\frac{9 - 7 \cdot 4}{12}$

Step 6.2

Multiply $- 7$ by $4$ .

$\frac{9 - 28}{12}$

Step 6.3

Subtract $28$ from $9$ .

$\frac{- 19}{12}$

Step 7

Move the negative in front of the fraction.

$- \frac{19}{12}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{12}$

Decimal Form:

$- 1.58\overline{3}$

Mixed Number Form:

$- 1 \frac{7}{12}$