Ristkorrutusega

Ristkorrutusega, also known as cross-multiplication, is a mathematical technique used to solve proportions or equations involving fractions. It is a method of simplifying equations by eliminating denominators.

To perform ristkorrutusega, you have two fractions set equal to each other, like a/b = c/d. The process involves multiplying the numerator of the first fraction by the denominator of the second fraction and setting it equal to the product of the denominator of the first fraction and the numerator of the second fraction. This results in the equation ad = bc.

This technique is particularly useful when you need to find an unknown value within a proportion. For example, if you have the equation x/5 = 10/2, you can use ristkorrutusega to find x. Multiplying across gives 2x = 5 * 10, which simplifies to 2x = 50. Dividing both sides by 2 yields x = 25.

Ristkorrutusega is a fundamental concept in algebra and is widely applied in various mathematical problems, including solving word problems involving ratios and scaling. It provides an efficient way to manipulate fractional equations and isolate unknown variables. The validity of ristkorrutusega stems from the properties of equality, ensuring that the derived equation remains equivalent to the original proportion.