Basic Math Examples

$200 = \frac{600 (a + 1)}{24}$

Step 1

Rewrite the equation as $\frac{600 (a + 1)}{24} = 200$ .

$\frac{600 (a + 1)}{24} = 200$

Step 2

Cancel the common factor of $600$ and $24$ .

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Step 2.1

Factor $24$ out of $600 (a + 1)$ .

$\frac{24 (25 (a + 1))}{24} = 200$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $24$ out of $24$ .

$\frac{24 (25 (a + 1))}{24 (1)} = 200$

Step 2.2.2

Cancel the common factor.

$\frac{24 (25 (a + 1))}{24 \cdot 1} = 200$

Step 2.2.3

Rewrite the expression.

$\frac{25 (a + 1)}{1} = 200$

Step 2.2.4

Divide $25 (a + 1)$ by $1$ .

$25 (a + 1) = 200$

Step 3

Solve for $a$ .

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Step 3.1

Divide each term in $25 (a + 1) = 200$ by $25$ and simplify.

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Step 3.1.1

Divide each term in $25 (a + 1) = 200$ by $25$ .

$\frac{25 (a + 1)}{25} = \frac{200}{25}$

Step 3.1.2

Simplify the left side.

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Step 3.1.2.1

Cancel the common factor of $25$ .

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Step 3.1.2.1.1

Cancel the common factor.

$\frac{25 (a + 1)}{25} = \frac{200}{25}$

Step 3.1.2.1.2

Divide $a + 1$ by $1$ .

$a + 1 = \frac{200}{25}$

Step 3.1.3

Simplify the right side.

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Step 3.1.3.1

Divide $200$ by $25$ .

$a + 1 = 8$

Step 3.2

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

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Step 3.2.1

Subtract $1$ from both sides of the equation.

$a = 8 - 1$

Step 3.2.2

Subtract $1$ from $8$ .

$a = 7$