Basic Math Examples

$\frac{599}{100} = \frac{100 (a + 1)}{100}$

Step 1

Rewrite the equation as $\frac{100 (a + 1)}{100} = \frac{599}{100}$ .

$\frac{100 (a + 1)}{100} = \frac{599}{100}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$100 (a + 1) = 599$

Step 3

Divide each term in $100 (a + 1) = 599$ by $100$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $100 (a + 1) = 599$ by $100$ .

$\frac{100 (a + 1)}{100} = \frac{599}{100}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $100$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{100 (a + 1)}{100} = \frac{599}{100}$

Step 3.2.1.2

Divide $a + 1$ by $1$ .

$a + 1 = \frac{599}{100}$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $1$ from both sides of the equation.

$a = \frac{599}{100} - 1$

Step 4.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{100}{100}$ .

$a = \frac{599}{100} - 1 \cdot \frac{100}{100}$

Step 4.3

Combine $- 1$ and $\frac{100}{100}$ .

$a = \frac{599}{100} + \frac{- 1 \cdot 100}{100}$

Step 4.4

Combine the numerators over the common denominator.

$a = \frac{599 - 1 \cdot 100}{100}$

Step 4.5

Simplify the numerator.

Tap for more steps...

Step 4.5.1

Multiply $- 1$ by $100$ .

$a = \frac{599 - 100}{100}$

Step 4.5.2

Subtract $100$ from $599$ .

$a = \frac{499}{100}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$a = \frac{499}{100}$

Decimal Form:

$a = 4.99$

Mixed Number Form:

$a = 4 \frac{99}{100}$