Pre-Algebra Examples

$\frac{4}{7} + \frac{- 1}{3}$

Step 1

Move the negative in front of the fraction.

$\frac{4}{7} - \frac{1}{3}$

Step 2

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

$\frac{4}{7} \cdot \frac{3}{3} - \frac{1}{3}$

Step 3

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{4}{7} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{7}{7}$

Step 4

Write each expression with a common denominator of $21$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

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

$\frac{4 \cdot 3}{7 \cdot 3} - \frac{1}{3} \cdot \frac{7}{7}$

Step 4.2

Multiply $7$ by $3$ .

$\frac{4 \cdot 3}{21} - \frac{1}{3} \cdot \frac{7}{7}$

Step 4.3

Multiply $\frac{1}{3}$ by $\frac{7}{7}$ .

$\frac{4 \cdot 3}{21} - \frac{7}{3 \cdot 7}$

Step 4.4

Multiply $3$ by $7$ .

$\frac{4 \cdot 3}{21} - \frac{7}{21}$

Step 5

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 - 7}{21}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $4$ by $3$ .

$\frac{12 - 7}{21}$

Step 6.2

Subtract $7$ from $12$ .

$\frac{5}{21}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{21}$

Decimal Form:

$0.\overline{238095}$