Basic Math Examples

1 \frac{9}{10} \cdot 2

$1 \frac{9}{10} \cdot 2$

Step 1

Convert

1 \frac{9}{10}

$1 \frac{9}{10}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{9}{10}) \cdot 2

$(1 + \frac{9}{10}) \cdot 2$

Step 1.2

Add

1

$1$ and

\frac{9}{10}

$\frac{9}{10}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{10}{10} + \frac{9}{10}) \cdot 2

$(\frac{10}{10} + \frac{9}{10}) \cdot 2$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{10 + 9}{10} \cdot 2

$\frac{10 + 9}{10} \cdot 2$

Step 1.2.3

Add

10

$10$ and

9

$9$ .

\frac{19}{10} \cdot 2

$\frac{19}{10} \cdot 2$

\frac{19}{10} \cdot 2

$\frac{19}{10} \cdot 2$

\frac{19}{10} \cdot 2

$\frac{19}{10} \cdot 2$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

10

$10$ .

\frac{19}{2 (5)} \cdot 2

$\frac{19}{2 (5)} \cdot 2$

Step 2.2

Cancel the common factor.

$\frac{19}{2 \cdot 5} \cdot 2$

Step 2.3

Rewrite the expression.

$\frac{19}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{5}$

Decimal Form:

$3.8$

Mixed Number Form:

$3 \frac{4}{5}$