Basic Math Examples

- 35

$- 35$ ,

$942 \div 57$

Step 1

Rewrite the division as a fraction.

$- 35, \frac{942}{57}$

Step 2

Cancel the common factor of

$942$ and

$57$ .

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Step 2.1

Factor

$3$ out of

$942$ .

$- 35, \frac{3 (314)}{57}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$3$ out of

$57$ .

$- 35, \frac{3 \cdot 314}{3 \cdot 19}$

Step 2.2.2

Cancel the common factor.

$- 35, \frac{3 \cdot 314}{3 \cdot 19}$

Step 2.2.3

Rewrite the expression.

$- 35, \frac{314}{19}$

Step 3

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

$\frac{- 35 + \frac{314}{19}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write

$- 35$ as a fraction with a common denominator, multiply by

$\frac{19}{19}$ .

$\frac{- 35 \cdot \frac{19}{19} + \frac{314}{19}}{2}$

Step 4.2

Combine

$- 35$ and

$\frac{19}{19}$ .

$\frac{\frac{- 35 \cdot 19}{19} + \frac{314}{19}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{- 35 \cdot 19 + 314}{19}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply

$- 35$ by

$19$ .

$\frac{\frac{- 665 + 314}{19}}{2}$

Step 4.4.2

Add

$- 665$ and

$314$ .

$\frac{\frac{- 351}{19}}{2}$

Step 4.5

Move the negative in front of the fraction.

$\frac{- \frac{351}{19}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$- \frac{351}{19} \cdot \frac{1}{2}$

Step 6

Multiply

$- \frac{351}{19} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply

$\frac{1}{2}$ by

$\frac{351}{19}$ .

$- \frac{351}{2 \cdot 19}$

Step 6.2

Multiply

$2$ by

$19$ .

$- \frac{351}{38}$

Step 7

Divide.

$- 9.2368421$

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.

$- 9.2$