Finite Math Examples

$b - \frac{1}{2} = \frac{1}{10}$

Step 1

Add $\frac{1}{2}$ to both sides of the equation.

$b = \frac{1}{10} + \frac{1}{2}$

Step 2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$b = \frac{1}{10} + \frac{1}{2} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$b = \frac{1}{10} + \frac{5}{2 \cdot 5}$

Step 3.2

Multiply $2$ by $5$ .

$b = \frac{1}{10} + \frac{5}{10}$

Step 4

Combine the numerators over the common denominator.

$b = \frac{1 + 5}{10}$

Step 5

Add $1$ and $5$ .

$b = \frac{6}{10}$

Step 6

Cancel the common factor of $6$ and $10$ .

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Step 6.1

Factor $2$ out of $6$ .

$b = \frac{2 (3)}{10}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $10$ .

$b = \frac{2 \cdot 3}{2 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$b = \frac{2 \cdot 3}{2 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$b = \frac{3}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$b = \frac{3}{5}$

Decimal Form:

$b = 0.6$