Learn to Multiply Fractions & Understand Improper Fractions & Mixed Numbers - [29]

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In this lesson, you will learn how to multiply a fraction by a whole number. We will write every whole number as a fraction, then multiply the fractions together. The resulting answer in many cases will be an improper fraction, which can be converted into a mixed number. When multiplying fractions, we first multiply the numerators together and then multiply the denominators together. This will form the answer which can be simplified as usual to lowest terms. If we get an improper fraction as a result, it represents that we have more than one whole item. We divide the numerator by the denominator as usual and obtain the remainder. This forms the basis of the mixed number representation of the answer. We also use models and pictures to visualize what an improper fraction actually means and how it relates to the corresponding mixed number.