Multiply the fractions and simplify to lowest terms. Write the answer as an improper fraction wh

step 1 Here we have to find out the product of minus 6cd by 7 and 1 by 18d. First note that the product

Multiply the fractions and simplify to lowest terms. Write...

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Key Concepts

Multiplying Fractions

Multiplying fractions involves combining two fractions by multiplying their numerators together to form a new numerator and their denominators together to form a new denominator. This operation is fundamental in arithmetic and algebra and serves as a building block for more complex fraction manipulations.

Cancelling Common Factors

Cancelling common factors means identifying and removing identical factors that appear in both the numerator and the denominator of a fraction. This simplification technique reduces the fraction to its lowest terms, making further calculations more straightforward.

Simplifying Algebraic Expressions

Simplifying algebraic expressions, especially rational expressions, entails systematically reducing the expression by combining like terms, factoring, and eliminating common factors. This process results in a more concise form that is easier to work with in subsequent mathematical operations.

Managing Negative Signs

Managing negative signs is essential in arithmetic operations that involve fractions, ensuring that the overall sign of the expression is correct. When dealing with multiplication or division, careful attention must be paid to the placement and cancellation of negative signs to achieve an accurate final result.

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