Find the Mean 19 , 341÷307

$19$ , $341 \div 307$

Step 1

Rewrite the division as a fraction.

$19, \frac{341}{307}$

Step 2

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

$\frac{19 + \frac{341}{307}}{2}$

Step 3

Simplify the numerator.

To write $19$ as a fraction with a common denominator, multiply by $\frac{307}{307}$ .

$\frac{19 \cdot \frac{307}{307} + \frac{341}{307}}{2}$

Combine $19$ and $\frac{307}{307}$ .

$\frac{\frac{19 \cdot 307}{307} + \frac{341}{307}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{19 \cdot 307 + 341}{307}}{2}$

Simplify the numerator.

Multiply $19$ by $307$ .

$\frac{\frac{5833 + 341}{307}}{2}$

Add $5833$ and $341$ .

$\frac{\frac{6174}{307}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{6174}{307} \cdot \frac{1}{2}$

Step 5

Cancel the common factor of $2$ .

Factor $2$ out of $6174$ .

$\frac{2 (3087)}{307} \cdot \frac{1}{2}$

Cancel the common factor.

$\frac{2 \cdot 3087}{307} \cdot \frac{1}{2}$

Rewrite the expression.

$\frac{3087}{307}$

Step 6

Divide.

$10.05537459$

Step 7

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.

$10.1$

Find the Mean 19 , 341÷307

Related Questions