Basic Math Examples

$6 \frac{5}{6}$ , $6$ , $9$ , $6 \frac{8}{9}$

Step 1

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

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Step 1.1

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

$6 + \frac{5}{6}, 6, 9, 6 \frac{8}{9}$

Step 1.2

Add $6$ and $\frac{5}{6}$ .

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Step 1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$6 \cdot \frac{6}{6} + \frac{5}{6}, 6, 9, 6 \frac{8}{9}$

Step 1.2.2

Combine $6$ and $\frac{6}{6}$ .

$\frac{6 \cdot 6}{6} + \frac{5}{6}, 6, 9, 6 \frac{8}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 6 + 5}{6}, 6, 9, 6 \frac{8}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $6$ by $6$ .

$\frac{36 + 5}{6}, 6, 9, 6 \frac{8}{9}$

Step 1.2.4.2

Add $36$ and $5$ .

$\frac{41}{6}, 6, 9, 6 \frac{8}{9}$

Step 2

Convert $6 \frac{8}{9}$ to an improper fraction.

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Step 2.1

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

$\frac{41}{6}, 6, 9, 6 + \frac{8}{9}$

Step 2.2

Add $6$ and $\frac{8}{9}$ .

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Step 2.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{41}{6}, 6, 9, 6 \cdot \frac{9}{9} + \frac{8}{9}$

Step 2.2.2

Combine $6$ and $\frac{9}{9}$ .

$\frac{41}{6}, 6, 9, \frac{6 \cdot 9}{9} + \frac{8}{9}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{41}{6}, 6, 9, \frac{6 \cdot 9 + 8}{9}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $6$ by $9$ .

$\frac{41}{6}, 6, 9, \frac{54 + 8}{9}$

Step 2.2.4.2

Add $54$ and $8$ .

$\frac{41}{6}, 6, 9, \frac{62}{9}$

Step 3

The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.

No mode