Basic Math Examples

$2 \frac{17}{20} + \frac{1}{50}$

Step 1

Convert

$2 \frac{17}{20}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$2 + \frac{17}{20} + \frac{1}{50}$

Step 1.2

Add

$2$ and

$\frac{17}{20}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{20}{20}$ .

$2 \cdot \frac{20}{20} + \frac{17}{20} + \frac{1}{50}$

Step 1.2.2

Combine

$2$ and

$\frac{20}{20}$ .

$\frac{2 \cdot 20}{20} + \frac{17}{20} + \frac{1}{50}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 20 + 17}{20} + \frac{1}{50}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$20$ .

$\frac{40 + 17}{20} + \frac{1}{50}$

Step 1.2.4.2

Add

$40$ and

$17$ .

$\frac{57}{20} + \frac{1}{50}$

Step 2

To write

$\frac{57}{20}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{57}{20} \cdot \frac{5}{5} + \frac{1}{50}$

Step 3

To write

$\frac{1}{50}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{57}{20} \cdot \frac{5}{5} + \frac{1}{50} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of

$100$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{57}{20}$ by

$\frac{5}{5}$ .

$\frac{57 \cdot 5}{20 \cdot 5} + \frac{1}{50} \cdot \frac{2}{2}$

Step 4.2

Multiply

$20$ by

$5$ .

$\frac{57 \cdot 5}{100} + \frac{1}{50} \cdot \frac{2}{2}$

Step 4.3

Multiply

$\frac{1}{50}$ by

$\frac{2}{2}$ .

$\frac{57 \cdot 5}{100} + \frac{2}{50 \cdot 2}$

Step 4.4

Multiply

$50$ by

$2$ .

$\frac{57 \cdot 5}{100} + \frac{2}{100}$

Step 5

Combine the numerators over the common denominator.

$\frac{57 \cdot 5 + 2}{100}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$57$ by

$5$ .

$\frac{285 + 2}{100}$

Step 6.2

Add

$285$ and

$2$ .

$\frac{287}{100}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{287}{100}$

Decimal Form:

$2.87$

Mixed Number Form:

$2 \frac{87}{100}$