Multiply Whole Numbers by Fractions Day 4

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Multiply Whole Numbers by Fractions Day 4

Word Problems

I can explain how a fraction is a multiple when multiplying by a whole number.

MGSE4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number e.g., by using a visual such as a number line or area model.

a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat ⅜ of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

Multiple Choice

Johnny plays football and his coach has him play  $$\frac{3}{4}$$  of the game each week. If Johnny plays in 12 games, what would the total amount of games Johnny has played?

• $$12\ \frac{3}{4}$$  

• $$\frac{32}{4}$$  

• $$8$$  

• $$9$$  

Fill in the Blanks

Ralph ate  $\frac{2}{3}$ of a dozen eggs each day for 10 days.  How many dozen eggs did he eat in all?

Determine Jim's shots:  $8\ \times\ \frac{1}{4}\ =\ \frac{8}{4}\ =\ 2$  

Jim made 2 shots and Tom made 3 shots.  Tom made the most shots. 

Fill in the Blanks

Molly and Sean were collecting seashells and wanted to see who collected the most shells that were over 3 inches wide. Molly collected 17 shells and  $\frac{1}{6}$  of them were over 3 inches wide.  Sean collected 15 shells and  $\frac{1}{5}$  of his were over 3 inches wide.  Who had the most shells that were over 3 inches wide?

Open Ended

Explain how to multiply a whole number with a fraction.