Solve for a 599/100=(100(a+1))/100

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

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

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

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{100 (a + 1)}{100}$ by cancelling the common factors.

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Cancel the common factor.

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

Rewrite the expression.

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

Divide $a + 1$ by $1$ .

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

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

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Subtract $1$ from both sides of the equation.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $- 1$ by $100$ .

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

Subtract $100$ from $599$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$a = 4.99$

Mixed Number Form:

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

Solve for a 599/100=(100(a+1))/100

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