Multiply or divide as indicated. Write answers in lowest terms as needed. See Examples 4 and 5.

step 1 So in this question you have to multiply or divide as indicated and write in the lowest. And the

Multiply or divide as indicated. Write answers in lowest...

Key Concepts

Simplifying Fractions

Once an arithmetic operation has been performed with fractions, the resulting fraction should be reduced to its simplest form, or lowest terms. This involves dividing both the numerator and denominator by their greatest common factor to present the answer in the most concise manner.

Division of Fractions and the Reciprocal

Dividing by a fraction is performed by multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator. This method is a fundamental strategy in fraction arithmetic that simplifies the division process.

Multiplication of Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. This concept is central not only to multiplication operations but also to division when it is converted into a multiplication problem using the reciprocal.

Mixed Numbers

Mixed numbers combine a whole number with a fraction. In arithmetic operations, especially multiplication and division, it is often necessary to convert mixed numbers into improper fractions to simplify the calculation process.

Conversion to Improper Fractions

Converting a mixed number into an improper fraction involves multiplying the whole number by the denominator of its fractional part and then adding the numerator. This conversion facilitates easier arithmetic operations such as multiplication and division with fractions.

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