Basic Math Examples

$1 \frac{7}{2} \cdot 0$ , $12$

Step 1

Convert $1 \frac{7}{2}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{7}{2}) \cdot 0, 12$

Step 1.2

Add $1$ and $\frac{7}{2}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$(\frac{2}{2} + \frac{7}{2}) \cdot 0, 12$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2 + 7}{2} \cdot 0, 12$

Step 1.2.3

Add $2$ and $7$ .

$\frac{9}{2} \cdot 0, 12$

Step 2

Multiply $\frac{9}{2}$ by $0$ .

$0, 12$

Step 3

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

$\frac{0 + 12}{2}$

Step 4

Cancel the common factor of $0 + 12$ and $2$ .

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Step 4.1

Factor $2$ out of $0$ .

$\frac{2 \cdot 0 + 12}{2}$

Step 4.2

Factor $2$ out of $12$ .

$\frac{2 \cdot 0 + 2 \cdot 6}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 0 + 2 \cdot 6$ .

$\frac{2 \cdot (0 + 6)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (0 + 6)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (0 + 6)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{0 + 6}{1}$

Step 4.4.4

Divide $0 + 6$ by $1$ .

$0 + 6$

Step 5

Add $0$ and $6$ .

$6$