Basic Math Examples

$55 = \frac{1}{2} b \cdot (16)$

Step 1

Rewrite the equation as $\frac{1}{2} b \cdot 16 = 55$ .

$\frac{1}{2} b \cdot 16 = 55$

Step 2

Simplify $\frac{1}{2} b \cdot 16$ .

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Step 2.1

Combine $\frac{1}{2}$ and $b$ .

$\frac{b}{2} \cdot 16 = 55$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $16$ .

$\frac{b}{2} \cdot (2 (8)) = 55$

Step 2.2.2

Cancel the common factor.

$\frac{b}{2} \cdot (2 \cdot 8) = 55$

Step 2.2.3

Rewrite the expression.

$b \cdot 8 = 55$

Step 2.3

Move $8$ to the left of $b$ .

$8 b = 55$

Step 3

Divide each term in $8 b = 55$ by $8$ and simplify.

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Step 3.1

Divide each term in $8 b = 55$ by $8$ .

$\frac{8 b}{8} = \frac{55}{8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8 b}{8} = \frac{55}{8}$

Step 3.2.1.2

Divide $b$ by $1$ .

$b = \frac{55}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{55}{8}$

Decimal Form:

$b = 6.875$

Mixed Number Form:

$b = 6 \frac{7}{8}$