In this lesson, we are dealing with multiplication of a mixed number and a whole number. Show Rules for multiplying a mixed number and a whole number
Multiply. Write your answer as a mixed number in simplest form. $2\frac{1}{3} \times 7$ SolutionStep 1: First, we write the mixed number $2\frac{1}{3}$ as an improper fraction and rewrite whole number 7 as fraction $\frac{7}{1}$. $2\frac{1}{3} = \frac{\left ( 2 \times 3 + 1 \right )}{3} = \frac{7}{3}$; $7 = \frac{7}{1}$ Step 2: $2\frac{1}{3} \times 7 = \frac{7}{3} \times \frac{7}{1}$ Step 3: Multiplying numerators and denominators $\frac{7}{3} \times \frac{7}{1} = \frac{(7 \times 7)}{(3 \times 1)} = \frac{49}{3}$ Step 4: $\frac{49}{3}$ can be written as a mixed number as follows $\frac{49}{3} = 16\frac{1}{3}$ Step 5: So, $2\frac{1}{3} \times 7 = 16\frac{1}{3}$ Multiply. Write your answer as a mixed number in simplest form. $1\frac{3}{4} \times 5$ SolutionStep 1: First, we write the mixed number $1\frac{3}{4}$ as an improper fraction and rewrite the whole number 5 as a fraction $\frac{5}{1}$. $1\frac{3}{4} = \frac{\left ( 1 \times 4 + 3 \right )}{4} = \frac{7}{4}$; $5 = \frac{5}{1}$ Step 2: $1\frac{3}{4} \times 5 = \frac{7}{4} \times \frac{5}{1}$ Step 3: Multiplying numerators and denominators $\frac{7}{4} \times \frac{5}{1} = \frac{(7 \times 5)}{(4 \times 1)} = \frac{35}{4}$ Step 4: $\frac{35}{4}$ can be written as a mixed number as follows $\frac{35}{4} = 8\frac{3}{4}$ Step 5: So, $1\frac{3}{4} \times 5 = 8\frac{3}{4}$ Download Article Download Article It's easy to multiply fractions by mixed fractions or whole numbers. Start by turning your mixed fractions or whole numbers into improper fractions. Then multiply the numerators of both improper fractions. Multiply the denominators and simplify your result. Practice Problems
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Advertisement ReferencesAbout This ArticleArticle SummaryX To multiply a fraction by a whole number, first rewrite the whole number as a fraction by putting it over a 1. For example, let’s say you’re trying to solve 5 x 8/10. You would start by rewriting 5 as a fraction. Now the equation looks like 5/1 x 8/10. Next you need to multiply the numerators, or top numbers, of the fractions together. In our example, 5 and 8 are the numerators, so you would multiply 5 by 8 and get 40. Now do the same thing with the denominators, or bottom numbers, of the fractions. One and 10 are the denominators, so you would multiply 1 by 10 and get 10. The new fraction is 40/10. If you can’t simplify the new fraction, you’re done and that’s your answer. If you can, simplify the fraction to the lowest terms. In our example we ended up with 40/10, which can be simplified by dividing the numerator and denominator by 10, which gives you 4/1. Therefore, 5 x 8/10 = 4/1, or 4. To learn how to multiply a normal fraction with a whole number, scroll down! Did this summary help you? Thanks to all authors for creating a page that has been read 2,098,068 times. Reader Success Stories
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