Question

homework
activity 1
multiply across and simplify your answer.

1. $\frac{1}{2}cdot\frac{3}{4}$ 2. $\frac{4}{5}cdot\frac{2}{3}$ 3. $\frac{4}{6}cdot\frac{1}{2}$ 4. $\frac{2}{5}cdot\frac{5}{10}$

activity 2
divide using invert and multiply. simplify the answer.

1. $\frac{4}{5}div\frac{1}{5}$ 2. $\frac{8}{9}div\frac{1}{3}$ 3. $\frac{4}{1}div\frac{1}{4}$

activity 3
fill in the blanks. data set: 1, 2, 2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 25

1. the number 25 is called a(n) ________ because it is so far from the other data.
2. the number 5 is called the ________ because it is the middle number in the ordered data set.
3. the number 6 is called the ________
4. the range is 24 because it represents the distance between the ______ and the ______

activity 4 - distributed practice
solve:

1. list the first six multiples of 6 and 9. circle any common multiples.
2. list the factors of 36 and 48. what is the greatest common factor (gcf)?
3. what is the least common denominator for $\frac{3}{5}-\frac{1}{9}$?

Explanation:

Activity 1

1. Explanation: Multiply numerators and denominators.

• $\frac{1}{2}\times\frac{3}{4}=\frac{1\times3}{2\times4}=\frac{3}{8}$

1. Explanation: Multiply across.

• $\frac{4}{5}\times\frac{2}{3}=\frac{4\times2}{5\times3}=\frac{8}{15}$

1. Explanation: Multiply the fractions.

• $\frac{4}{6}\times\frac{1}{2}=\frac{4\times1}{6\times2}=\frac{4}{12}=\frac{1}{3}$

1. Explanation: Multiply the numerators and denominators.

• $\frac{2}{5}\times\frac{5}{10}=\frac{2\times5}{5\times10}=\frac{10}{50}=\frac{1}{5}$

Activity 2

1. Explanation: Invert the second - fraction and multiply.

• $\frac{4}{5}\div\frac{1}{5}=\frac{4}{5}\times\frac{5}{1}=\frac{4\times5}{5\times1}=4$

1. Explanation: Invert and multiply.

• $\frac{8}{9}\div\frac{1}{3}=\frac{8}{9}\times\frac{3}{1}=\frac{8\times3}{9\times1}=\frac{24}{9}=\frac{8}{3}$

1. Explanation: Invert and multiply.

• $\frac{4}{1}\div\frac{1}{4}=\frac{4}{1}\times\frac{4}{1}=16$

Activity 3

1. Answer: Outlier
2. Answer: Median
3. Answer: Mode
4. Answer: Maximum; Minimum

Activity 4

1. Explanation: Find the multiples.

• Multiples of 6: 6, 12, 18, 24, 30, 36
• Multiples of 9: 9, 18, 27, 36, 45, 54
• Common multiples: 18, 36 (circle these)

1. Explanation: List factors and find GCF.

• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• GCF: 12

1. Explanation: Find the LCM of 5 and 9.

• Prime - factorize 5 and 9. 5 is prime, 9 = 3×3.
• LCM(5,9)=5×9 = 45. So the least common denominator is 45.

Answer:

Activity 1

1. Explanation: Multiply numerators and denominators.

• $\frac{1}{2}\times\frac{3}{4}=\frac{1\times3}{2\times4}=\frac{3}{8}$

1. Explanation: Multiply across.

• $\frac{4}{5}\times\frac{2}{3}=\frac{4\times2}{5\times3}=\frac{8}{15}$

1. Explanation: Multiply the fractions.

• $\frac{4}{6}\times\frac{1}{2}=\frac{4\times1}{6\times2}=\frac{4}{12}=\frac{1}{3}$

1. Explanation: Multiply the numerators and denominators.

• $\frac{2}{5}\times\frac{5}{10}=\frac{2\times5}{5\times10}=\frac{10}{50}=\frac{1}{5}$

Activity 2

1. Explanation: Invert the second - fraction and multiply.

• $\frac{4}{5}\div\frac{1}{5}=\frac{4}{5}\times\frac{5}{1}=\frac{4\times5}{5\times1}=4$

1. Explanation: Invert and multiply.

• $\frac{8}{9}\div\frac{1}{3}=\frac{8}{9}\times\frac{3}{1}=\frac{8\times3}{9\times1}=\frac{24}{9}=\frac{8}{3}$

1. Explanation: Invert and multiply.

• $\frac{4}{1}\div\frac{1}{4}=\frac{4}{1}\times\frac{4}{1}=16$

Activity 3

1. Answer: Outlier
2. Answer: Median
3. Answer: Mode
4. Answer: Maximum; Minimum

Activity 4

1. Explanation: Find the multiples.

• Multiples of 6: 6, 12, 18, 24, 30, 36
• Multiples of 9: 9, 18, 27, 36, 45, 54
• Common multiples: 18, 36 (circle these)

1. Explanation: List factors and find GCF.

• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• GCF: 12

1. Explanation: Find the LCM of 5 and 9.

• Prime - factorize 5 and 9. 5 is prime, 9 = 3×3.
• LCM(5,9)=5×9 = 45. So the least common denominator is 45.