Question

1. a baker cuts 4 pies. each pie has 6 equal pieces. this model represents the 4 pies.which fraction does the model represent?a. $\frac{6}{4}$b. $\frac{6}{6}$c. $\frac{6}{24}$d. $\frac{24}{6}$6. what whole number is equivalent to $\frac{12}{12}$?enter your response in the gridded area.7. suppose you drew 5 rectangles to show the whole number 5. how many parts would be shaded? how many equal parts would be in each whole? what fraction would the 5 rectangles show? explain.8. judy labeled the fractions on this number line. she says $\frac{3}{3}$ has the same value as 1. is her answer correct? if not, explain her error.9. which equality do the models show?a. $\frac{1}{4}=\frac{1}{8}$b. $\frac{4}{4}=\frac{8}{8}$c. $\frac{2}{4}=\frac{4}{8}$d. $\frac{1}{4}=\frac{2}{8}$10. lauren is mixing food for the rabbits at a pet store. she needs to put $\frac{1}{3}$ cup of chopped carrots into the mix for each rabbit. she needs to make enough for two rabbits. how much chopped carrots does she need?a. $\frac{2}{3}$ cupb. $\frac{3}{2}$ cupc. $\frac{2}{6}$ cupd. 2 cups

Explanation:

Step1: Solve Question 5

Count total pieces: 4 pies × 6 pieces = 24. Shaded pieces = 24. Fraction: $\frac{24}{6}$ is incorrect, wait no—each pie is 6 pieces, 4 full pies = $\frac{6}{6} \times 4 = \frac{24}{6}$.

Step2: Solve Question 6

Simplify $\frac{12}{12}$: Any number over itself = 1.

Step3: Solve Question 7

Whole 5: Each rectangle = 1 whole, fully shaded. So 5 shaded parts, 1 equal part per whole. Fraction: $\frac{5}{1}=5$.

Step4: Solve Question 8

Judy is wrong. $\frac{3}{3}=1$, but her number line labels $\frac{3}{3}$ at a point before 1; $\frac{3}{3}$ aligns with 1, not a separate point.

Step5: Solve Question 9

First model: 1 shaded out of 4. Second: 2 shaded out of 8. $\frac{1}{4}=\frac{2}{8}$.

Step6: Solve Question 10

2 rabbits × $\frac{1}{3}$ cup = $\frac{2}{3}$ cup.

Answer:

1. D. $\frac{24}{6}$
2. 1
3. 5 shaded parts; 1 equal part per whole; the fraction is $\frac{5}{1}$ (or 5), since each full rectangle represents 1 whole, 5 full rectangles equal the whole number 5.
4. Judy is incorrect. $\frac{3}{3}$ is equivalent to 1, so it should be labeled at the same point as 1 on the number line, not a separate position.
5. D. $\frac{1}{4}=\frac{2}{8}$
6. A. $\frac{2}{3}$ cup