Question

Multiply fractions. $$3 \cdot 2 \frac{1}{9}$$

   Multiply fractions.
$$3 \cdot 2 \frac{1}{9}$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 2, Problem 28

Instant Answer

Solved by Expert Carson Merrill

06/21/2020

Step 1

The whole number 3 can be written as $\frac{3}{1}$ and the mixed number $2 \frac{1}{9}$ can be rewritten as an improper fraction $\frac{19}{9}$. So, the multiplication becomes: $$\frac{3}{1} \cdot \frac{19}{9}$$ Show more…

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Multiply fractions. $$3 \cdot 2 \frac{1}{9}$$

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Key Concepts

Multiplication of Fractions

Multiplying fractions involves multiplying the numerators together to obtain a new numerator, and multiplying the denominators together to obtain a new denominator. This procedure applies universally to both proper and improper fractions, allowing for systematic computation regardless of the numbers involved.

Simplification of Fractions

After performing multiplication, the resulting fraction should be simplified to its lowest terms. This step involves dividing both the numerator and the denominator by their greatest common divisor, ensuring that the fraction is presented in its simplest form.

Mixed Number Conversion

A mixed number combines a whole number and a fraction. When multiplying mixed numbers or combining them with other fractions, it is important to convert them into improper fractions. This process involves multiplying the whole number by the denominator and adding the numerator, which simplifies further operations such as multiplication.

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