TEKS 4.3A Worksheets — Grade 4 Represent a fraction a/b as a sum

Daniela is making tacos for her family and needs to buy ingredients. The recipe requires 3/4 of a pound of beef. If she buys 1/4 of a pound of beef at the store, how many more pounds of beef does she need to buy to have enough for the recipe?

1. 1/2 ✓
2. 1/4
3. 1
4. 3/4

Why: To find out how much more beef Daniela needs, subtract the amount she has (1/4) from the amount needed (3/4). So, 3/4 - 1/4 = 2/4 which is equal to 1/2. Therefore, Daniela needs to buy 1/2 more pounds of beef.

Isabella picked bluebonnets in the Hill Country for her school's flower festival. She picked 3/4 of a basket full of flowers. If she represents this fraction as the sum of unit fractions, how many 1/4 baskets did she pick?

1. 3 ✓
2. 2
3. 4
4. 1

Why: Isabella picked 3/4 of a basket, which can be represented as 1/4 + 1/4 + 1/4. Therefore, she picked 3 of the 1/4 baskets.

Maya is helping her family build a fence around their garden in Texas. They plan to put up 4 equal sections of fencing. Each section will be 1/4 of the total length of the fence. How can Maya represent the total length of the fence using unit fractions?

1. 1/4 + 1/4 + 1/4 + 1/4 ✓
2. 1/4 + 1/4 + 1/4
3. 1/4 + 1/4
4. 1/4 + 1/4 + 1/4 + 1/2

Why: Maya can represent the total length of the fence, which consists of 4 sections of 1/4 each, by adding 1/4 + 1/4 + 1/4 + 1/4. This shows that the total length is made up of 4 equal parts, each being a quarter of the whole.

Victoria made a delicious pecan pie for her family. She cut the pie into 8 equal slices. If she gave away 3 slices to her neighbor, what fraction of the pie did she give away?

1. 3/8 ✓
2. 1/4
3. 5/8
4. 1/2

Why: Victoria cut the pie into 8 slices and gave away 3 of them. To express how much of the pie she gave away as a fraction, we write it as 3 slices out of the total 8 slices. So, the fraction of the pie given away is 3/8.

Aanya went to the market to buy fruit. She bought 3 apples and 4 bananas. What fraction of the total pieces of fruit that Aanya bought were apples?

1. 3/7 ✓
2. 4/7
3. 1/2
4. 3/4

Why: Aanya bought a total of 3 apples and 4 bananas, which is 3 + 4 = 7 pieces of fruit. To find the fraction of the total that were apples, we use the number of apples (3) over the total number of fruit (7). So, the fraction is 3/7. This means that out of the whole amount of fruit she bought, 3 out of 7 pieces were apples.

Karim is helping his family plant a garden in Texas. They decided to plant 3/4 of their garden with vegetables and the rest with flowers. If the total area of the garden is 12 square feet, what part of the garden is planted with flowers?

1. 1/4 ✓
2. 3/4
3. 2/4
4. 4/4

Why: To find the part of the garden planted with flowers, we need to subtract the part planted with vegetables from the whole garden. Since 3/4 of the garden is used for vegetables, we can calculate the flowers by taking 1 - 3/4, which equals 1/4. Therefore, the part of the garden planted with flowers is 1/4.

Kiaan went to a lumber festival in Lufkin, Texas, where he bought a wooden toy. The toy was made up of 3/4 of a plank of wood. If he wants to represent the fraction of the plank in terms of unit fractions, which of the following best represents 3/4 as a sum of fractions 1/4?

1. 1/4 + 1/4 + 1/4 ✓
2. 1/4 + 1/4 + 1/4 + 1/4
3. 1/4 + 1/4
4. 1/4 + 1/4 + 1/4 + 1/4 + 1/4

Why: To represent 3/4 as a sum of unit fractions, we can break it down into three parts of 1/4 each. Thus, 3/4 = 1/4 + 1/4 + 1/4. This matches the first choice.

Adriana is making a Texas-style barbecue for her family. She has 8 pounds of brisket. If she wants to serve the brisket in equal parts for 4 family members, how much brisket will each person get in pounds?

1. 2 ✓
2. 4
3. 6
4. 8

Why: To find out how much brisket each family member will get, divide the total amount of brisket (8 pounds) by the number of family members (4). So, 8 pounds ÷ 4 = 2 pounds. Therefore, each person will receive 2 pounds of brisket.