Find the Mean 357 , 100÷510

$357$ ,

$100 \div 510$

Step 1

Rewrite the division as a fraction.

$357, \frac{100}{510}$

Step 2

Cancel the common factor of

$100$ and

$510$ .

Factor

$10$ out of

$100$ .

$357, \frac{10 (10)}{510}$

Cancel the common factors.

Factor

$10$ out of

$510$ .

$357, \frac{10 \cdot 10}{10 \cdot 51}$

Cancel the common factor.

$357, \frac{10 \cdot 10}{10 \cdot 51}$

Rewrite the expression.

$357, \frac{10}{51}$

Step 3

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

$\frac{357 + \frac{10}{51}}{2}$

Step 4

Simplify the numerator.

To write

$357$ as a fraction with a common denominator, multiply by

$\frac{51}{51}$ .

$\frac{357 \cdot \frac{51}{51} + \frac{10}{51}}{2}$

Combine

$357$ and

$\frac{51}{51}$ .

$\frac{\frac{357 \cdot 51}{51} + \frac{10}{51}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{357 \cdot 51 + 10}{51}}{2}$

Simplify the numerator.

Multiply

$357$ by

$51$ .

$\frac{\frac{18207 + 10}{51}}{2}$

Add

$18207$ and

$10$ .

$\frac{\frac{18217}{51}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{18217}{51} \cdot \frac{1}{2}$

Step 6

Multiply

$\frac{18217}{51} \cdot \frac{1}{2}$ .

Multiply

$\frac{18217}{51}$ by

$\frac{1}{2}$ .

$\frac{18217}{51 \cdot 2}$

Multiply

$51$ by

$2$ .

$\frac{18217}{102}$

Step 7

Divide.

$178.59803921$

Step 8

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.

$178.6$

Find the Mean 357 , 100÷510

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