Comparing Fractions

Alexa and Rose read books that have the same number of pages. Alexa's book is divided into 8 equal chapters. Rose's book is divided into 6 equal chapters. Each girl has read 3 chapters of her book. Write a fraction to describe what part of the book each girl read.

David, Maria, and Simone are shading same-sized index cards for a science project. David shaded 2/4 of his index card. Maria shaded 2/8 of her index card and Simone shaded 2/6 of her index card. Which statement is correct? Choose all that apply.

• 2/4 > 2/8

• 2/8 > 2/6

• 2/6 < 2/4

• 2/8 = 2/4

Dan and Miguel are working on the same homework assignment. Dan has finished 1/4 of the assignment. Miguel has finished 3/4 of the assignment. Which statement is correct? Mark all that apply.

• Miguel has completed the entire assignment.

• Dan has not completed the entire assignment.

• Miguel has finished more of the assignment than Dan.

• Dan and Miguel have completed equal parts of the assignment.

Chun lives 3/8 mile from school. Gail lives 5/8 mile from school. Which distance is longer?

• 3/8 = 5/8

• 3/8 > 5/8

• 3/8 < 5/8

A nature center offers 2 guided walks. The morning walk is 2/3 mile. The evening walk is 3/6 mile. Which walk is shorter?

• 2/3 mile

• 3/6 mile

Tom rode his horse for 4/6 mile. Liz rode her horse for an equal distance. What is an equivalent fraction that describes how far Liz rode? Use the models to show your work.

Mrs. Reed baked four pans of lasagna for a family party. Use the rectangles to represent the pans. Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds, one into fourths, one into sixths, and one into eighths. At the end of the dinner, equivalent amounts of lasagna in two pans were left. Use the models to show the lasagna that might have been left over. Write two pairs of equivalent fractions to represent the models.

Jenna painted 1/8 of one side of a fence. Mark painted 1/6 of the other side of the same fence. Use >, =, or < to compare the parts that they painted.

• 1/8 = 1/6

• 1/8 > 1/6

• 1/8 < 1/6

Cora measures the heights of three plants. Draw a line to match each height on the left to the word on the right that describes its place in the order of heights.

Jorge, Lynne, and Crosby meet at the playground. Jorge lives 5/6 mile from the playground. Lynn lives 4/6 mile from the playground. Crosby lives 7/8 mile from the playground. Who lives closer to the playground, Jorge or Lynne?

• Jorge

• Lynne

• Crosby