Basic Math Examples

5 \frac{7}{8} \cdot 5.9

$5 \frac{7}{8} \cdot 5.9$

Step 1

Convert

5 \frac{7}{8}

$5 \frac{7}{8}$ 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}{8}) \cdot 5.9

$(5 + \frac{7}{8}) \cdot 5.9$

Step 1.2

Add

5

$5$ and

\frac{7}{8}

$\frac{7}{8}$ .

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Step 1.2.1

To write

5

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

\frac{8}{8}

$\frac{8}{8}$ .

(5 \cdot \frac{8}{8} + \frac{7}{8}) \cdot 5.9

$(5 \cdot \frac{8}{8} + \frac{7}{8}) \cdot 5.9$

Step 1.2.2

Combine

5

$5$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{5 \cdot 8}{8} + \frac{7}{8}) \cdot 5.9

$(\frac{5 \cdot 8}{8} + \frac{7}{8}) \cdot 5.9$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 8 + 7}{8} \cdot 5.9

$\frac{5 \cdot 8 + 7}{8} \cdot 5.9$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

8

$8$ .

\frac{40 + 7}{8} \cdot 5.9

$\frac{40 + 7}{8} \cdot 5.9$

Step 1.2.4.2

Add

40

$40$ and

7

$7$ .

\frac{47}{8} \cdot 5.9

$\frac{47}{8} \cdot 5.9$

\frac{47}{8} \cdot 5.9

$\frac{47}{8} \cdot 5.9$

\frac{47}{8} \cdot 5.9

$\frac{47}{8} \cdot 5.9$

\frac{47}{8} \cdot 5.9

$\frac{47}{8} \cdot 5.9$

Step 2

Multiply

\frac{47}{8} \cdot 5.9

$\frac{47}{8} \cdot 5.9$ .

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Step 2.1

Combine

\frac{47}{8}

$\frac{47}{8}$ and

5.9

$5.9$ .

\frac{47 \cdot 5.9}{8}

$\frac{47 \cdot 5.9}{8}$

Step 2.2

Multiply

47

$47$ by

5.9

$5.9$ .

\frac{277.3}{8}

$\frac{277.3}{8}$

\frac{277.3}{8}

$\frac{277.3}{8}$

Step 3

Divide

277.3

$277.3$ by

8

$8$ .

34.6625

$34.6625$