Basic Math Examples

$0.06 a + 0.02 b = 0.03 \cdot 80$

Step 1

Multiply $0.03$ by $80$ .

$0.06 a + 0.02 b = 2.4$

Step 2

Subtract $0.02 b$ from both sides of the equation.

$0.06 a = 2.4 - 0.02 b$

Step 3

Divide each term in $0.06 a = 2.4 - 0.02 b$ by $0.06$ and simplify.

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Step 3.1

Divide each term in $0.06 a = 2.4 - 0.02 b$ by $0.06$ .

$\frac{0.06 a}{0.06} = \frac{2.4}{0.06} + \frac{- 0.02 b}{0.06}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $0.06$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.06 a}{0.06} = \frac{2.4}{0.06} + \frac{- 0.02 b}{0.06}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{2.4}{0.06} + \frac{- 0.02 b}{0.06}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $2.4$ by $0.06$ .

$a = 40 + \frac{- 0.02 b}{0.06}$

Step 3.3.1.2

Move the negative in front of the fraction.

$a = 40 - \frac{0.02 b}{0.06}$

Step 3.3.1.3

Factor $0.02$ out of $0.02 b$ .

$a = 40 - \frac{0.02 (b)}{0.06}$

Step 3.3.1.4

Factor $0.06$ out of $0.06$ .

$a = 40 - \frac{0.02 (b)}{0.06 (1)}$

Step 3.3.1.5

Separate fractions.

$a = 40 - (\frac{0.02}{0.06} \cdot \frac{b}{1})$

Step 3.3.1.6

Divide $0.02$ by $0.06$ .

$a = 40 - (0.\overline{3} \frac{b}{1})$

Step 3.3.1.7

Divide $b$ by $1$ .

$a = 40 - (0.\overline{3} b)$

Step 3.3.1.8

Multiply $0.\overline{3}$ by $- 1$ .

$a = 40 - 0.\overline{3} b$