Free · Printable · TEKS 6.2E · Number & Operations
TEKS 6.2E Worksheets — Grade 6 Extend representations for division to include fraction
91+ Texas-aligned practice questions on this exact Grade 6 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.
What TEKS 6.2E says: Extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0.
This page has 91+ practice questions tagged specifically to TEKS 6.2E. Below: a sample of 8 with answers and explanations so you can preview the worksheet before printing. Every question goes through an AI quality gate (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing.
Cognitive demand: low. Typical question shape: Identify equivalent forms (3/4 = 3 ÷ 4).
Carlos is planning a birthday party and wants to invite his friends. He has a list of 15 friends, but he can only invite 9 of them. If he wants to represent his choices in a fraction, what does the fraction 9/15 mean in relation to his total friend list?
- Carlos invited 9 friends out of a total of 15 friends. ✓
- Carlos has 9 more friends to invite after the party.
- Carlos can invite 6 more friends than he needs.
- Carlos is inviting 15 friends but only has room for 9.
Why: The fraction 9/15 represents the part of Carlos's total friend list that he is inviting to the party. It directly shows that he is inviting 9 friends out of a total of 15 friends.
Miguel is planting prickly pear cactus in his backyard in Laredo, Texas. He has a garden bed that is 6 feet long and 2 feet wide. He wants to plant 1/4 of the garden bed with prickly pear cactus. What is the area of the garden bed that Miguel will use for the prickly pear cactus?
- 3 square feet ✓
- 4 square feet
- 1/2 square foot
- 12 square feet
Why: To find the area of the garden bed, we multiply the length by the width: 6 feet * 2 feet = 12 square feet. Miguel wants to plant 1/4 of this area, so we calculate 1/4 of 12 square feet: 12 square feet ÷ 4 = 3 square feet. Therefore, the area that Miguel will use for the prickly pear cactus is 3 square feet.
Khalil is planning a camping trip to Big Bend National Park. He wants to take a total of 12 bottles of water for himself and his three friends. Khalil plans to fill each bottle with 3/4 of a gallon of water. How many gallons of water does Khalil need to buy in total?
- 9 ✓
- 3
- 4.5
- 6
Why: To find the total gallons of water needed, first calculate the total number of bottles: 12 bottles. Each bottle holds 3/4 of a gallon, so we multiply 12 by 3/4: 12 * (3/4) = 36/4 = 9 gallons. Therefore, Khalil needs to buy 9 gallons of water.
Esteban went to a local farmers market in Central Texas to buy fresh vegetables for a family gathering. He purchased 2/3 of a pound of tomatoes and 1/4 of a pound of bell peppers. What is the total weight of the vegetables Esteban bought in pounds?
- 11/12 ✓
- 5/12
- 1/2
- 3/4
Why: To find the total weight of the vegetables, Esteban adds the weights of tomatoes and bell peppers. First, convert the fractions to have a common denominator. The least common multiple of 3 and 4 is 12. Convert 2/3 to 8/12 and 1/4 to 3/12. Now, add the two fractions: 8/12 + 3/12 = 11/12. Therefore, the total weight of the vegetables is 11/12 pounds.
Sofia is helping her family run a food truck at the Port of Houston. They sell tacos for $3 each. One day, they sold 150 tacos. If they spent $300 on ingredients, what is their total profit for that day?
- $150 ✓
- $300
- $450
- $600
Why: To find the total profit, we first calculate the total revenue from selling 150 tacos at $3 each: 150 × 3 = $450. Then we subtract the cost of ingredients, which is $300. So, the profit is $450 - $300 = $150. Therefore, the correct answer is $150.
Hugo went to a cotton farm in Lubbock, Texas, where he learned about the cotton production process. If the farm produces 3/4 of a ton of cotton every hour and operates 8 hours a day, how many tons of cotton does the farm produce in one day?
- 6 tons ✓
- 1.5 tons
- 3 tons
- 24 tons
Why: To find the total cotton produced in one day, multiply the hourly production by the number of hours. The farm produces 3/4 ton every hour. So, in one day (8 hours), it would be (3/4) * 8 = 6 tons of cotton. Therefore, the correct answer is 6 tons.
Emilio is making his famous Tex-Mex enchiladas for a family gathering in Texas. He has a recipe that requires 3/4 cup of cheese for each batch. If he wants to make 4 batches of enchiladas, how much cheese will he need in total?
- 3 cups ✓
- 2 1/4 cups
- 4 cups
- 1 1/2 cups
Why: To find the total amount of cheese needed, multiply the amount of cheese per batch by the number of batches. Emilio needs 3/4 cup of cheese for each batch and wants to make 4 batches. So, we calculate 3/4 * 4. This is the same as (3 * 4) / 4 = 12/4 = 3. Therefore, Emilio needs a total of 3 cups of cheese.
Avery is planting a garden in McAllen, Texas, and wants to divide it into sections for different types of plants. She plans to plant tomatoes in 3/4 of the garden and peppers in the remaining area. If the total area of her garden is 20 square feet, how many square feet will she use for planting peppers?
- 5 square feet ✓
- 15 square feet
- 10 square feet
- 12 square feet
Why: To find out how much area Avery will use for planting peppers, first, we need to determine the area for tomatoes. Since she uses 3/4 of the garden for tomatoes, we calculate 3/4 of 20 square feet, which is 20 * 3/4 = 15 square feet. Now, we subtract the area used for tomatoes from the total area: 20 - 15 = 5 square feet for peppers. Therefore, the correct answer is 5 square feet.
Common questions about TEKS 6.2E
What is TEKS 6.2E?
TEKS 6.2E is a Grade 6 Number & Operations standard from the Texas Essential Knowledge and Skills. The standard says: Extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0.
How many TEKS 6.2E practice questions are available?
91+ practice questions tagged to TEKS 6.2E. All free to print or practice online. We pull a fresh set each time you print a worksheet so your kid doesn't see the same questions twice.
What kind of questions test TEKS 6.2E on the STAAR?
Identify equivalent forms (3/4 = 3 ÷ 4). TEKS 6.2E is a low-cognitive-demand standard — single-step identify/recall is typical.
Where do these questions come from?
Generated by our AI pipeline, then independently quality-gated by two cross-vendor models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 6.2E and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.