You will need to give each student a sheet of paper that has a pizza image and lines dividing it into eight slices. You should have the students cut out the slices and demonstrate what one half of the pizza looks like (four slices) and one quarter (two slices). Write out the equation 1/2 ÷ 1/4 and ask them how many 1/4 pizzas fit into a 1/2 pizza. Show students how to complete the equation by multiplying 1/2 by 4/1 to total two. Repeat using other equations and the pizza slices.
To demonstrate the equation 1/2 ÷ 1/4, you can use five index cards and write one number on each. On the last card, write a division sign on one side and a multiplication sign on the other. Give a set to each student and have them lay out the equation as it is written. Then explain that to divide the fractions, they will need to multiply by the 1/4's reciprocal, or 4/1. Have them switch the "1" and "4" cards around and flip the division sign over so it is multiplication. You can then have students complete the equation and rearrange the numbers for different equations.
You can use either real or fake candy for this group activity. Give each student group a set of 12 candies that have two each of six different colors. Ask each student group what fraction of the total any one color is, and have them write out the answer. You should direct students to divide the candies into two groups of three colors each, then write out for them 1/2 ÷ 1/6. Then you should explain that the equation is looking for how many 1/6 are in each half of the candies. Demonstrate how to complete the equation mathematically to get "3," then have the groups work on showing 2/3 ÷ 1/6.
You can use a fake dollar bill and change for this activity, explaining to students that the $1 bill equals one whole. Ask students how much a quarter is of the whole (1/4) as well as a nickel (1/20). They can then separate out four quarters in one row and five nickels in another. You can then demonstrate that 1/4 ÷ 1/20 is asking how many nickels are in a quarter and then show how to complete the equation by multiplying by the reciprocal. Then have students get into groups and write out equations for dimes and pennies, 50 cent pieces and dimes, and other combinations.