Pre-Algebra Examples

$403 \div 15.5 = 2499 \div x$

Step 1

Rewrite the equation as $2499 \div x = 403 \div 15.5$ .

$2499 \div x = 403 \div 15.5$

Step 2

Multiply both sides by $x$ .

$2499 \div x x = 403 \div 15.5 x$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $2499 \div x x$ .

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Step 3.1.1.1

Rewrite the division as a fraction.

$\frac{2499}{x} x = 403 \div 15.5 x$

Step 3.1.1.2

Cancel the common factor of $x$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{2499}{x} x = 403 \div 15.5 x$

Step 3.1.1.2.2

Rewrite the expression.

$2499 = 403 \div 15.5 x$

$2499 = 403 \div 15.5 x$

$2499 = 403 \div 15.5 x$

$2499 = 403 \div 15.5 x$

Step 3.2

Simplify the right side.

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Step 3.2.1

Divide $403$ by $15.5$ .

$2499 = 26 x$

$2499 = 26 x$

$2499 = 26 x$

Step 4

Solve for $x$ .

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Step 4.1

Rewrite the equation as $26 x = 2499$ .

$26 x = 2499$

Step 4.2

Divide each term in $26 x = 2499$ by $26$ and simplify.

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Step 4.2.1

Divide each term in $26 x = 2499$ by $26$ .

$\frac{26 x}{26} = \frac{2499}{26}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $26$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{26 x}{26} = \frac{2499}{26}$

Step 4.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2499}{26}$

$x = \frac{2499}{26}$

$x = \frac{2499}{26}$

$x = \frac{2499}{26}$

$x = \frac{2499}{26}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2499}{26}$

Decimal Form:

$x = 96.11538461 \dots$

Mixed Number Form:

$x = 96 \frac{3}{26}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$