Multiplying Fractions and Whole Numbers: Solving Word Problems with Fraction Models

This video tutorial teaches how to solve word problems involving the multiplication of fractions and whole numbers using fraction models. It explains the concepts of numerators and denominators, and how fractions represent whole numbers divided into equal parts. The tutorial emphasizes the importance of using equal-sized pieces in visual models to avoid common mistakes. It demonstrates solving problems with visual fraction models, such as calculating the total amount of pie eaten by frogs and the equivalent of fractions in whole numbers.

What does the denominator in a fraction represent?

• The number of whole pieces

• The number of equally sized pieces a whole is divided into

• The total number of pieces available

• The size of each piece

How can multiplying a whole number by a fraction be visualized?

• By adding the fraction repeatedly

• By subtracting the fraction repeatedly

• By dividing the fraction repeatedly

• By multiplying the fraction repeatedly

What is a common mistake when partitioning shapes for fractions?

• Using pieces of the same size

• Using too many pieces

• Using too few pieces

• Using pieces of different sizes

How many whole pies do the frogs eat if each eats 3/4 of a pie and there are 5 frogs?

• 5 whole pies

• 3 whole pies

• 4 whole pies

• 2 whole pies

If each frog eats 1/2 of a gnat bar, how many whole gnat bars do 5 frogs eat in total?

• 2 whole gnat bars

• 3 whole gnat bars

• 1 whole gnat bar

• 2 and 1/2 whole gnat bars