# Year Eight Mathematics Worksheets

Multiplication is an important mathematical operation that is used to find the total amount when a number is repeated a certain number of times. In algebra, multiplication is also used to find the product of two expressions. Understanding how to multiply rational algebraic expressions (RAEs) with different denominators is an important part of learning algebra and helps children develop critical thinking skills and a deeper understanding of mathematical concepts.

When multiplying RAEs with different denominators, children need to find a common denominator. A common denominator is a number that is a multiple of both denominators in the expressions being multiplied. Once a common denominator has been found, children can multiply the expressions by multiplying the numerators and denominators.

To find a common denominator, children can use the LCM (Least Common Multiple) of the denominators. The LCM is the smallest number that is a multiple of both denominators. For example, consider the expressions 1/3 * 1/4. To find a common denominator, the LCM of 3 and 4 can be found, which is 12. The expressions can then be written as 4/12 * 3/12, which can then be multiplied:

(4/12) * (3/12) = (4 * 3) / (12 * 12) = 12 / 144 = 1/12

In conclusion, multiplication of RAEs with different denominators is an important topic in mathematics that helps children develop critical thinking skills and a deeper understanding of mathematical concepts. By learning how to find a common denominator, multiply RAEs, and simplify expressions, children can find solutions to problems, build a strong foundation in mathematics, and prepare for more advanced topics in the future. Whether they are solving problems in class, working on a project, or preparing for a test, the skills they learn about multiplication of RAEs with different denominators will be valuable to them for years to come.

# Year Eight Math Worksheet for Kids – Multiplication of RAEs with the Different Denominators

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