Solve the following math problems: 1. Daniel has 2 meters of fabric. He plans to cut the fabric into pieces that are 1/4 meter long. How many pieces of fabric will Daniel have? 2.... Solve the following math problems: 1. Daniel has 2 meters of fabric. He plans to cut the fabric into pieces that are 1/4 meter long. How many pieces of fabric will Daniel have? 2. Jade shares half of a pizza equally among herself and 4 friends. What fraction of the whole pizza will each friend get? 3. What is the value of the expression? 1/4 ÷ 5 4. What is the value of the expression? 3 ÷ 1/5 5. What is the value of the expression? 1/3 ÷ 4 6. What is the value of the expression? 7 ÷ 1/4 7. Maya shares one-third of a cake equally among herself and 3 friends. What fraction of the whole cake will each friend get? 8. Savannah bakes 2 cakes and plans to cut them into sixths. How many 1/6-size pieces will she have? 9. Mason has 1/5 pan of lasagna left. He gives the leftover lasagna to his 4 friends to share equally. What portion of the whole pan of lasagna does each friend get? 10. Olivia used 1/2 a meter of ribbon to make five identical hair bows. What fraction of the whole ribbon does Olivia use to make each bow
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Understand the Problem
The question is asking to solve variety of mathematical problems, including division with fractions, and word problems involving fractions and division. We need to identify the operations and correctly perform them to find the answers.
Answer
1. 8 2. $\frac{1}{10}$ 3. $\frac{1}{20}$ 4. 15 5. $\frac{1}{12}$ 6. 28 7. $\frac{1}{12}$ 8. 12 9. $\frac{1}{20}$ 10. $\frac{1}{10}$
Answer for screen readers
- 8
- $\frac{1}{10}$
- $\frac{1}{20}$
- 15
- $\frac{1}{12}$
- 28
- $\frac{1}{12}$
- 12
- $\frac{1}{20}$
- $\frac{1}{10}$
Steps to Solve
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Solve question 1 Daniel has 2 meters of fabric and cuts it into pieces that are $\frac{1}{4}$ meter long. To find out how many pieces he will have, we need to divide the total length of the fabric by the length of each piece: $2 \div \frac{1}{4} = 2 \times 4 = 8$
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Solve question 2 Jade shares half of a pizza equally among herself and 4 friends, meaning there are 5 people in total. We need to divide the fraction of the pizza (1/2) by the number of people (5) $\frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$
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Solve question 3 We are asked to evaluate the expression $\frac{1}{4} \div 5$. To divide a fraction by a whole number, we multiply the denominator of the fraction by the whole number: $\frac{1}{4} \div 5 = \frac{1}{4 \times 5} = \frac{1}{20}$
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Solve question 4 We are asked to evaluate the expression $\frac{3}{1} \div \frac{1}{5}$. To divide by a fraction we multiply by its reciprocal. $\frac{3}{1} \div \frac{1}{5} = \frac{3}{1} \times \frac{5}{1} = 3 \times 5 = 15$
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Solve question 5 We are asked to evaluate the expression $\frac{1}{3} \div 4$. To divide a fraction by a whole number, we multiply the denominator of the fraction by the whole number: $\frac{1}{3} \div 4 = \frac{1}{3 \times 4} = \frac{1}{12}$
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Solve question 6 We are asked to evaluate the expression $7 \div \frac{1}{4}$. To divide by a fraction we multiply by its reciprocal. $7 \div \frac{1}{4} = 7 \times \frac{4}{1} = 7 \times 4 = 28$
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Solve question 7 Maya shares one-third of a cake equally among herself and 3 friends, meaning there are 4 people in total. We need to divide the fraction of the cake (1/3) by the number of people (4). $\frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$
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Solve question 8 Savannah bakes 2 cakes and cuts them into $\frac{1}{6}$-size pieces. So, we need to find out, how many $\frac{1}{6}$ pieces are contained in 2 cakes, which can be found by dividing 2 by $\frac{1}{6}$. $2 \div \frac{1}{6} = 2 \times 6 = 12$
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Solve question 9 Mason has $\frac{1}{5}$ pan of lasagna left and gives it to his 4 friends to share equally. This means we need to divide $\frac{1}{5}$ by 4. $\frac{1}{5} \div 4 = \frac{1}{5} \times \frac{1}{4} = \frac{1}{20}$
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Solve question 10 Olivia used $\frac{1}{2}$ meter of ribbon to make five identical hair bows. We need to divide $\frac{1}{2}$ by 5 to find the fraction of ribbon used for each bow. $\frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$
- 8
- $\frac{1}{10}$
- $\frac{1}{20}$
- 15
- $\frac{1}{12}$
- 28
- $\frac{1}{12}$
- 12
- $\frac{1}{20}$
- $\frac{1}{10}$
More Information
The questions involved division with fractions and word problems that required understanding how to apply division with fractions in real-world scenarios.
Tips
A common mistake is forgetting to reciprocate the fraction when dividing. Another common mistake is misinterpreting word problems and setting up the wrong operation. For example, confusing the roles of the divisor and dividend. Also, when sharing equally among a group including oneself, it's important to remember to include yourself when counting the total number of people.
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