randVar() rand(2) randRange(3, 12) randRange(3, 12) randRange(3, 12) DENOMINATOR1 * NUMERATOR2 / DENOMINATOR2

Solve for `X`.

`\dfrac{X}{DENOMINATOR1} = \dfrac{NUMERATOR2}{DENOMINATOR2}`

`\dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{X}{DENOMINATOR1}`

`X =` SOLUTION

Multiply both sides by `\blue{DENOMINATOR1}`.

`\blue{DENOMINATOR1} \times \dfrac{X}{DENOMINATOR1} = \dfrac{NUMERATOR2}{DENOMINATOR2} \times \blue{DENOMINATOR1}`

`\blue{DENOMINATOR1} \times \dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{X}{DENOMINATOR1} \times \blue{DENOMINATOR1}`

`X = \dfrac{\blue{DENOMINATOR1} \times NUMERATOR2}{DENOMINATOR2}`

`\dfrac{\blue{DENOMINATOR1} \times NUMERATOR2}{DENOMINATOR2} = X`

`X = \dfrac{DENOMINATOR1 * NUMERATOR2}{DENOMINATOR2}`

randVar() rand(2) randRange(3, 12) randRange(3, 12) randRange(3, 12) DENOMINATOR2 * NUMERATOR1 / NUMERATOR2

Solve for `X`.

`\dfrac{NUMERATOR1}{X} = \dfrac{NUMERATOR2}{DENOMINATOR2}`

`\dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{NUMERATOR1}{X}`

`X =` SOLUTION

Multiply both sides by `\blue{X}`.

`\blue{X} \times \dfrac{NUMERATOR1}{X} = \dfrac{NUMERATOR2}{DENOMINATOR2} \times \blue{X}`

`NUMERATOR1 = \dfrac{NUMERATOR2}{DENOMINATOR2}\blue{X}`

Multiply both sides by `\green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`.

`NUMERATOR1 \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}} = \dfrac{NUMERATOR2}{DENOMINATOR2} \blue{X} \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`

`\dfrac{NUMERATOR1 \times \green{DENOMINATOR2}}{\green{NUMERATOR2}} = \blue{X}`

Multiply both sides by `\blue{X}`.

`\blue{X} \times \dfrac{NUMERATOR2}{DENOMINATOR2} = \dfrac{NUMERATOR1}{X} \times \blue{X}`

`\dfrac{NUMERATOR2}{DENOMINATOR2}\blue{X} = NUMERATOR1`

Multiply both sides by `\green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`.

`\dfrac{NUMERATOR2}{DENOMINATOR2} \blue{X} \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}} = NUMERATOR1 \times \green{\dfrac{DENOMINATOR2}{NUMERATOR2}}`

`\blue{X} = \dfrac{NUMERATOR1 \times \green{DENOMINATOR2}}{\green{NUMERATOR2}}`

`X = \dfrac{DENOMINATOR2 * NUMERATOR1}{NUMERATOR2}`