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?

• $$12\ \frac{3}{4}$$  

• $$\frac{32}{4}$$  

• $$8$$  

• $$9$$  

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. 

Open Ended

Explain how to multiply a whole number with a fraction.