Question

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. Multiply $\frac{1}{2}\cdot\frac{3}{4}$

Multiply numerators and denominators.
$\frac{1\times3}{2\times4}=\frac{3}{8}$

2. Multiply $\frac{4}{5}\cdot\frac{2}{3}$

Multiply numerators and denominators.
$\frac{4\times2}{5\times3}=\frac{8}{15}$

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

First simplify $\frac{4}{6}=\frac{2}{3}$, then multiply.
$\frac{2}{3}\cdot\frac{1}{2}=\frac{2\times1}{3\times2}=\frac{1}{3}$

4. Multiply $\frac{2}{5}\cdot\frac{5}{10}$

Multiply numerators and denominators and simplify.
$\frac{2\times5}{5\times10}=\frac{10}{50}=\frac{1}{5}$

Activity 2

1. Divide $\frac{4}{5}\div\frac{1}{5}$

Invert the second - fraction and multiply.
$\frac{4}{5}\times\frac{5}{1}=\frac{4\times5}{5\times1}=4$

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

Invert the second - fraction and multiply.
$\frac{8}{9}\times\frac{3}{1}=\frac{8\times3}{9\times1}=\frac{24}{9}=\frac{8}{3}$

3. Divide $\frac{4}{1}\div\frac{1}{4}$

Invert the second - fraction and multiply.
$\frac{4}{1}\times\frac{4}{1}=\frac{4\times4}{1\times1}=16$

Activity 3

1.

The number 25 is called an outlier because it is so far from the other data.

2.

The number 5 is called the median because it is the middle number in the ordered data set.

3.

The number 6 is called the mode because it appears most frequently.

4.

The range is 24 because it represents the distance between the maximum (25) and the minimum (1).

Activity 4

1.

Multiples of 6: 6, 12, 18, 24, 30, 36
Multiples of 9: 9, 18, 27, 36, 45, 54
Common multiples are 18 and 36.

2.

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
The greatest common factor (GCF) is 12.

3.

To find the least common denominator of $\frac{3}{5}-\frac{1}{9}$, find the LCM of 5 and 9. Since 5 and 9 are co - prime, the LCM of 5 and 9 is $5\times9 = 45$. So the least common denominator is 45.

Answer:

Activity 1

1. $\frac{3}{8}$
2. $\frac{8}{15}$
3. $\frac{1}{3}$
4. $\frac{1}{5}$

Activity 2

1. 4
2. $\frac{8}{3}$
3. 16

Activity 3

1. outlier
2. median
3. mode
4. maximum; minimum

Activity 4

1. Multiples of 6: 6, 12, 18, 24, 30, 36; Multiples of 9: 9, 18, 27, 36, 45, 54; Common multiples: 18, 36
2. 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
3. 45