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

step 1 we have to find out the product of minus 12 and minus 15 by 42 here first note that the product

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

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Key Concepts

Proper Representation of Improper Fractions

An improper fraction, where the numerator is larger than or equal to the denominator, is a common result when multiplying fractions that exceed a whole unit. Expressing the result as an improper fraction is acceptable unless a different representation, like a mixed number, is specifically requested.

Properties of Negative Multiplication

Multiplying numbers with negative signs follows specific rules: the product of two negative numbers is positive, while multiplying a negative by a positive yields a negative result. Understanding these properties is essential when dealing with sign operations in arithmetic multiplication.

Multiplication of Fractions

This concept involves multiplying the numerators together and the denominators together when dealing with fractions. In problems that include integers and fractions, integers are usually rewritten as fractions (with denominator 1) to apply the same multiplication rules consistently.

Simplifying Fractions

Once the product of the numerators and denominators is found, simplifying involves reducing the fraction to its lowest terms by canceling out any common factors between the numerator and the denominator. This step ensures that the fraction is presented in its simplest form.

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