Basic Math Examples

$24 = \frac{1}{3} \cdot 4 + b$

Step 1

Rewrite the equation as $\frac{1}{3} \cdot 4 + b = 24$ .

$\frac{1}{3} \cdot 4 + b = 24$

Step 2

Combine $\frac{1}{3}$ and $4$ .

$\frac{4}{3} + b = 24$

Step 3

Move all terms not containing $b$ to the right side of the equation.

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Step 3.1

Subtract $\frac{4}{3}$ from both sides of the equation.

$b = 24 - \frac{4}{3}$

Step 3.2

To write $24$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$b = 24 \cdot \frac{3}{3} - \frac{4}{3}$

Step 3.3

Combine $24$ and $\frac{3}{3}$ .

$b = \frac{24 \cdot 3}{3} - \frac{4}{3}$

Step 3.4

Combine the numerators over the common denominator.

$b = \frac{24 \cdot 3 - 4}{3}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $24$ by $3$ .

$b = \frac{72 - 4}{3}$

Step 3.5.2

Subtract $4$ from $72$ .

$b = \frac{68}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{68}{3}$

Decimal Form:

$b = 22.\overline{6}$

Mixed Number Form:

$b = 22 \frac{2}{3}$