Basic Math Examples

2 \cdot 3.14 \cdot 3 \cdot 6 \frac{5}{8}

$2 \cdot 3.14 \cdot 3 \cdot 6 \frac{5}{8}$

Step 1

Convert

6 \frac{5}{8}

$6 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

2 \cdot 3.14 \cdot 3 \cdot (6 + \frac{5}{8})

$2 \cdot 3.14 \cdot 3 \cdot (6 + \frac{5}{8})$

Step 1.2

Add

6

$6$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

2 \cdot 3.14 \cdot 3 \cdot (6 \cdot \frac{8}{8} + \frac{5}{8})

$2 \cdot 3.14 \cdot 3 \cdot (6 \cdot \frac{8}{8} + \frac{5}{8})$

Step 1.2.2

Combine

6

$6$ and

\frac{8}{8}

$\frac{8}{8}$ .

2 \cdot 3.14 \cdot 3 \cdot (\frac{6 \cdot 8}{8} + \frac{5}{8})

$2 \cdot 3.14 \cdot 3 \cdot (\frac{6 \cdot 8}{8} + \frac{5}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

2 \cdot 3.14 \cdot 3 \cdot \frac{6 \cdot 8 + 5}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{6 \cdot 8 + 5}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

8

$8$ .

2 \cdot 3.14 \cdot 3 \cdot \frac{48 + 5}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{48 + 5}{8}$

Step 1.2.4.2

Add

48

$48$ and

5

$5$ .

2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}$

2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}$

2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}$

2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}

$2 \cdot 3.14 \cdot 3 \cdot \frac{53}{8}$

Step 2

Multiply

2 \cdot 3.14 \cdot 3

$2 \cdot 3.14 \cdot 3$ .

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Step 2.1

Multiply

2

$2$ by

3.14

$3.14$ .

6.28 \cdot 3 \cdot \frac{53}{8}

$6.28 \cdot 3 \cdot \frac{53}{8}$

Step 2.2

Multiply

6.28

$6.28$ by

3

$3$ .

18.84 \cdot \frac{53}{8}

$18.84 \cdot \frac{53}{8}$

18.84 \cdot \frac{53}{8}

$18.84 \cdot \frac{53}{8}$

Step 3

Multiply

18.84 (\frac{53}{8})

$18.84 (\frac{53}{8})$ .

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Step 3.1

Combine

18.84

$18.84$ and

\frac{53}{8}

$\frac{53}{8}$ .

\frac{18.84 \cdot 53}{8}

$\frac{18.84 \cdot 53}{8}$

Step 3.2

Multiply

18.84

$18.84$ by

53

$53$ .

\frac{998.52}{8}

$\frac{998.52}{8}$

\frac{998.52}{8}

$\frac{998.52}{8}$

Step 4

Divide

998.52

$998.52$ by

8

$8$ .

124.815

$124.815$