Basic Math Examples

$\frac{19}{21} + \frac{1}{3} + \frac{1}{7}$

Step 1

Find the common denominator.

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Step 1.1

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

$\frac{19}{21} + \frac{1}{3} \cdot \frac{7}{7} + \frac{1}{7}$

Step 1.2

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

$\frac{19}{21} + \frac{7}{3 \cdot 7} + \frac{1}{7}$

Step 1.3

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

$\frac{19}{21} + \frac{7}{3 \cdot 7} + \frac{1}{7} \cdot \frac{3}{3}$

Step 1.4

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

$\frac{19}{21} + \frac{7}{3 \cdot 7} + \frac{3}{7 \cdot 3}$

Step 1.5

Multiply $3$ by $7$ .

$\frac{19}{21} + \frac{7}{21} + \frac{3}{7 \cdot 3}$

Step 1.6

Reorder the factors of $7 \cdot 3$ .

$\frac{19}{21} + \frac{7}{21} + \frac{3}{3 \cdot 7}$

Step 1.7

Multiply $3$ by $7$ .

$\frac{19}{21} + \frac{7}{21} + \frac{3}{21}$

Step 2

Combine the numerators over the common denominator.

$\frac{19 + 7 + 3}{21}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $19$ and $7$ .

$\frac{26 + 3}{21}$

Step 3.2

Add $26$ and $3$ .

$\frac{29}{21}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{21}$

Decimal Form:

$1.\overline{380952}$

Mixed Number Form:

$1 \frac{8}{21}$