Basic Math Examples

$\frac{21}{50} + \frac{21}{100} + \frac{2}{25} + \frac{29}{100}$

Step 1

Combine the numerators over the common denominator.

$\frac{21}{50} + \frac{21 + 29}{100} + \frac{2}{25}$

Step 2

Add $21$ and $29$ .

$\frac{21}{50} + \frac{50}{100} + \frac{2}{25}$

Step 3

Find the common denominator.

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Step 3.1

Multiply $\frac{21}{50}$ by $\frac{2}{2}$ .

$\frac{21}{50} \cdot \frac{2}{2} + \frac{50}{100} + \frac{2}{25}$

Step 3.2

Multiply $\frac{21}{50}$ by $\frac{2}{2}$ .

$\frac{21 \cdot 2}{50 \cdot 2} + \frac{50}{100} + \frac{2}{25}$

Step 3.3

Multiply $\frac{2}{25}$ by $\frac{4}{4}$ .

$\frac{21 \cdot 2}{50 \cdot 2} + \frac{50}{100} + \frac{2}{25} \cdot \frac{4}{4}$

Step 3.4

Multiply $\frac{2}{25}$ by $\frac{4}{4}$ .

$\frac{21 \cdot 2}{50 \cdot 2} + \frac{50}{100} + \frac{2 \cdot 4}{25 \cdot 4}$

Step 3.5

Reorder the factors of $50 \cdot 2$ .

$\frac{21 \cdot 2}{2 \cdot 50} + \frac{50}{100} + \frac{2 \cdot 4}{25 \cdot 4}$

Step 3.6

Multiply $2$ by $50$ .

$\frac{21 \cdot 2}{100} + \frac{50}{100} + \frac{2 \cdot 4}{25 \cdot 4}$

Step 3.7

Reorder the factors of $25 \cdot 4$ .

$\frac{21 \cdot 2}{100} + \frac{50}{100} + \frac{2 \cdot 4}{4 \cdot 25}$

Step 3.8

Multiply $4$ by $25$ .

$\frac{21 \cdot 2}{100} + \frac{50}{100} + \frac{2 \cdot 4}{100}$

Step 4

Combine the numerators over the common denominator.

$\frac{21 \cdot 2 + 50 + 2 \cdot 4}{100}$

Step 5

Simplify each term.

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Step 5.1

Multiply $21$ by $2$ .

$\frac{42 + 50 + 2 \cdot 4}{100}$

Step 5.2

Multiply $2$ by $4$ .

$\frac{42 + 50 + 8}{100}$

Step 6

Simplify the expression.

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Step 6.1

Add $42$ and $50$ .

$\frac{92 + 8}{100}$

Step 6.2

Add $92$ and $8$ .

$\frac{100}{100}$

Step 6.3

Divide $100$ by $100$ .

$1$