Question

additional practice 10 - 4 fractions and sets another look! what fraction of these pennants are gray? the denominator is the total number of objects in the set. the numerator shows how many objects are represented. 5 — number of gray pennants 6 — total number of pennants \\(\frac{5}{6}\\) of the pennants are gray in 1 - 6, write the fraction of the tiles that fit the description. 1. black 2. white 3. gray 4. not black 5. not white 6. squares 7. draw a set of 5 figures so that \\(\frac{3}{5}\\) of them are circles. 8. write a set of 12 digits so that \\(\frac{5}{12}\\) of them are less than 3. go online | savvasrealize.com topic 10 | lesson 10 - 4 157

Explanation:

Step1: Count grey pennants

Count grey pennants: $4$

Step2: Count total pennants

Count total pennants: $6$

Step3: Find grey pennant fraction

$\frac{4}{6} = \frac{2}{3}$

Step4: Count squares for Q1-6

Total squares per set: $3$

Step5: Solve Q1 (Black)

1 black square: $\frac{1}{3}$

Step6: Solve Q2 (White)

1 white square: $\frac{1}{3}$

Step7: Solve Q3 (Gray)

1 gray square: $\frac{1}{3}$

Step8: Solve Q4 (Not Black)

2 non-black squares: $\frac{2}{3}$

Step9: Solve Q5 (Not White)

2 non-white squares: $\frac{2}{3}$

Step10: Solve Q6 (Squares)

2 filled squares: $\frac{2}{3}$

Step11: Solve Q7 (5 figures, $\frac{3}{5}$ circles)

$5 \times \frac{3}{5} = 3$ circles, add 2 non-circles

Step12: Solve Q8 (12 digits, $\frac{1}{3}$ <3)

$12 \times \frac{1}{3} = 4$ digits <3, add 8 other digits

Answer:

1. $\frac{1}{3}$
2. $\frac{1}{3}$
3. $\frac{1}{3}$
4. $\frac{2}{3}$
5. $\frac{2}{3}$
6. $\frac{2}{3}$
7. (Example: ○○○△△)
8. (Example: 1,1,2,2,3,4,5,6,7,8,9,0)

$\frac{2}{3}$ of the pennants are grey.