Unit Fractions

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Unit Fractions · Grade 3 · Worksheet 2

1. Emma is making a quilt for her grandmother. She has a rectangular piece of fabric that is 6 feet long and 4 feet wide. She wants to divide the fabric into equal square patches to sew together. If each patch is 1 foot long and 1 foot wide, how many square patches can she make from the fabric? Answer: 24 Solution: The fabric is a rectangle that is 6 feet long and 4 feet wide. To find the total area of the fabric, multiply the length by the width: 6 feet × 4 feet. 6 × 4 = 24.
   Full step-by-step solution

   Step 1: The fabric is a rectangle that is 6 feet long and 4 feet wide. Step 2: To find the total area of the fabric, multiply the length by the width: 6 feet × 4 feet. Step 3: 6 × 4 = 24. Step 4: Each square patch has an area of 1 square foot (1 foot × 1 foot). Step 5: Since the total area is 24 square feet, and each patch uses 1 square foot, Emma can make 24 patches. The answer is 24.

2. Lily is helping her teacher divide a rectangular bulletin board into equal sections for student artwork. The bulletin board is 8 feet long and 6 feet wide. If they divide it into square sections that are each 1 foot by 1 foot, how many sections will they create for the artwork? Answer: 48 Solution: The bulletin board is 8 feet long. If each square section is 1 foot wide, then 8 squares can fit along the length. The bulletin board is 6 feet wide.
   Full step-by-step solution

   Step 1: The bulletin board is 8 feet long. If each square section is 1 foot wide, then 8 squares can fit along the length. Step 2: The bulletin board is 6 feet wide. If each square section is 1 foot wide, then 6 squares can fit along the width. Step 3: To find the total number of squares, multiply the number of squares along the length by the number of squares along the width: 8 × 6 = 48. The answer is 48.

3. Liam is building a rectangular garden bed that is 8 feet long and 5 feet wide. He wants to divide the garden into equal square sections to plant different vegetables. If he makes sections that are each 1 square foot, how many sections will his garden have? Answer: 40 Solution: We have a rectangular garden bed with a length of 8 feet and a width of 5 feet. We want to divide it into equal square sections, each with an area of 1 square foot. We need to find the total number of such sections.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangular garden bed with a length of 8 feet and a width of 5 feet. We want to divide it into equal square sections, each with an area of 1 square foot. We need to find the total number of such sections. Step 2: Find the total area of the garden bed. The area of a rectangle is length multiplied by width. So, Area = length × width = 8 feet × 5 feet. Step 3: Calculate the area. 8 × 5 = 40. So, the total area is 40 square feet. Step 4: Relate the area to the number of sections. Each section is 1 square foot. So, the number of sections = total area ÷ area of one section. That is: 40 square feet ÷ 1 square foot per section = 40 sections. Step 5: Final answer. Liam’s garden will have 40 sections.