Basic Math Examples

what's a fraction less than $1$ with a denominator of $6$ that's greater than $\frac{3}{4}$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{1 + 6 + \frac{3}{4}}{3}$

Step 2

Simplify the numerator.

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Step 2.1

Add $1$ and $6$ .

$\frac{7 + \frac{3}{4}}{3}$

Step 2.2

To write $7$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7 \cdot \frac{4}{4} + \frac{3}{4}}{3}$

Step 2.3

Combine $7$ and $\frac{4}{4}$ .

$\frac{\frac{7 \cdot 4}{4} + \frac{3}{4}}{3}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{7 \cdot 4 + 3}{4}}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $7$ by $4$ .

$\frac{\frac{28 + 3}{4}}{3}$

Step 2.5.2

Add $28$ and $3$ .

$\frac{\frac{31}{4}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{31}{4} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{31}{4} \cdot \frac{1}{3}$ .

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Step 4.1

Multiply $\frac{31}{4}$ by $\frac{1}{3}$ .

$\frac{31}{4 \cdot 3}$

Step 4.2

Multiply $4$ by $3$ .

$\frac{31}{12}$

Step 5

Divide.

$2.58\overline{3}$

Step 6

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$2.6$