TEKS 6.3E Worksheets — Grade 6 Multiply and divide positive rational numbers fluently

Lila is making a fruit salad with apples, bananas, and grapes. She uses 2/5 of a pound of apples and 1/4 of a pound of bananas. If she wants to know the total weight of the apples and bananas combined, which of the following best represents the fraction of a pound of fruit she has?

1. 13/20 ✓
2. 9/20
3. 3/20
4. 5/20

Why: To find the total weight of apples and bananas, we need to add the two fractions: 2/5 + 1/4. First, we find a common denominator, which is 20. Converting the fractions, 2/5 becomes 8/20 and 1/4 becomes 5/20. Adding these together gives 8/20 + 5/20 = 13/20. Thus, Lila has 13/20 of a pound of fruit from apples and bananas combined.

Diego has a collection of 48 toy cars. He wants to share them equally among himself and 3 friends. How many toy cars will each person receive?

1. 12 ✓
2. 16
3. 10
4. 8

Why: To find out how many toy cars each person will receive, first determine how many people there are in total. Diego has 3 friends, so that makes 4 people (Diego + 3 friends). Next, divide the total number of toy cars, 48, by the total number of people, 4. So, 48 ÷ 4 = 12. Therefore, each person will receive 12 toy cars.

Maria works at a local farm near the Port of Corpus Christi where she is responsible for packing oranges into boxes. Each box can hold 2.5 kilograms of oranges. Last week, she packed 7 boxes and 3.4 kilograms of oranges in total. If she wants to find out the total weight of oranges she packed last week, which expression can be used to calculate the total weight in kilograms?

1. 7 * 2.5 + 3.4 ✓
2. 7 / 2.5 + 3.4
3. 7 * 2.5 - 3.4
4. 7 / 2.5 - 3.4

Why: To find the total weight of oranges Maria packed, we need to multiply the number of boxes (7) by the weight each box can hold (2.5 kg), and then add the additional weight she packed (3.4 kg). The correct expression is 7 * 2.5 + 3.4, which calculates the total weight as 17.5 + 3.4 = 20.9 kilograms.

Madison went to the Gulf of Mexico and spotted some dolphins. She noted that there were 3 groups of dolphins. Each group had 4 dolphins swimming together. Later, she saw 2 more dolphins swimming alone. How many dolphins did Madison see in total?

1. 14 ✓
2. 12
3. 10
4. 16

Why: To find the total number of dolphins Madison saw, first calculate the number of dolphins in the groups. There are 3 groups with 4 dolphins each, so that's 3 × 4 = 12 dolphins. Then, add the 2 additional dolphins she saw swimming alone: 12 + 2 = 14. Therefore, Madison saw a total of 14 dolphins.

Carlos is making fruit smoothies for his friends. He uses 3/4 of a cup of blueberries and 1/2 of a cup of strawberries in one smoothie. How much fruit does he use in total for one smoothie? Express your answer as a fraction.

1. 5/4 ✓
2. 1/4
3. 1
4. 1/2

Why: To find the total amount of fruit Carlos uses, we add the fractions 3/4 and 1/2. First, we need a common denominator, which is 4. We can convert 1/2 to 2/4. Now we can add: 3/4 + 2/4 = 5/4. Thus, Carlos uses a total of 5/4 cups of fruit for one smoothie.

Carlos has 3/4 of a yard of ribbon. He wants to cut the ribbon into pieces that are each 1/8 of a yard long. How many pieces can Carlos cut from the ribbon he has?

1. 6 ✓
2. 8
3. 4
4. 10

Why: To find out how many pieces Carlos can cut, we need to divide the total length of ribbon (3/4 yard) by the length of each piece (1/8 yard). Dividing fractions involves multiplying by the reciprocal. So, 3/4 ÷ 1/8 is the same as 3/4 * 8/1. This simplifies to (3 * 8) / (4 * 1) = 24/4 = 6. Therefore, Carlos can cut 6 pieces of ribbon.

Amara is planning a picnic for her friends and needs to buy sandwiches. Each sandwich costs $5. If she wants to buy enough sandwiches for 6 friends, how much will Amara spend in total on sandwiches?

1. $30 ✓
2. $25
3. $15
4. $35

Why: To find the total cost, multiply the number of sandwiches (6) by the cost of each sandwich ($5). So, 6 * 5 = 30. Therefore, Amara will spend $30 on sandwiches.

Aisha wants to buy some colorful markers for her art class. Each pack of markers costs $4. If she has $20 saved up, how many packs can she buy and how much money will she have left after her purchase?

1. 4 packs and $4 left
2. 5 packs and $0 left ✓
3. 3 packs and $8 left
4. 6 packs and $2 left

Why: To find out how many packs Aisha can buy, we divide her total money by the price of each pack. $20 ÷ $4 = 5 packs. Since she spends all her money on 5 packs, she will have $0 left. Therefore, the correct answer is 5 packs and $0 left.