Basic Math Examples

5 \frac{7}{9} \cdot 100

$5 \frac{7}{9} \cdot 100$

Step 1

Convert

5 \frac{7}{9}

$5 \frac{7}{9}$ to an improper fraction.

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Step 1.1

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

(5 + \frac{7}{9}) \cdot 100

$(5 + \frac{7}{9}) \cdot 100$

Step 1.2

Add

5

$5$ and

\frac{7}{9}

$\frac{7}{9}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

(5 \cdot \frac{9}{9} + \frac{7}{9}) \cdot 100

$(5 \cdot \frac{9}{9} + \frac{7}{9}) \cdot 100$

Step 1.2.2

Combine

5

$5$ and

\frac{9}{9}

$\frac{9}{9}$ .

(\frac{5 \cdot 9}{9} + \frac{7}{9}) \cdot 100

$(\frac{5 \cdot 9}{9} + \frac{7}{9}) \cdot 100$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 9 + 7}{9} \cdot 100

$\frac{5 \cdot 9 + 7}{9} \cdot 100$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

9

$9$ .

\frac{45 + 7}{9} \cdot 100

$\frac{45 + 7}{9} \cdot 100$

Step 1.2.4.2

Add

45

$45$ and

7

$7$ .

\frac{52}{9} \cdot 100

$\frac{52}{9} \cdot 100$

\frac{52}{9} \cdot 100

$\frac{52}{9} \cdot 100$

\frac{52}{9} \cdot 100

$\frac{52}{9} \cdot 100$

\frac{52}{9} \cdot 100

$\frac{52}{9} \cdot 100$

Step 2

Multiply

\frac{52}{9} \cdot 100

$\frac{52}{9} \cdot 100$ .

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Step 2.1

Combine

\frac{52}{9}

$\frac{52}{9}$ and

100

$100$ .

\frac{52 \cdot 100}{9}

$\frac{52 \cdot 100}{9}$

Step 2.2

Multiply

52

$52$ by

100

$100$ .

\frac{5200}{9}

$\frac{5200}{9}$

\frac{5200}{9}

$\frac{5200}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{5200}{9}

$\frac{5200}{9}$

Decimal Form:

577.\overline{7}

$577.\overline{7}$

Mixed Number Form:

577 \frac{7}{9}

$577 \frac{7}{9}$