Question

1. an orange was divided into 10 equal sections. lily ate 4 sections. manny and emma ate the remaining sections. what fraction of the orange did manny and emma eat?
2. write 3 fractions with unlike denominators that are greater than the fraction shown below.

chart: 4 rectangles, 3 shaded

1. higher order thinking four friends each ordered individual pizzas at a restaurant. suzy ate $\frac{3}{8}$ of her pizza. ethan ate $\frac{3}{5}$ of his pizza. tenaya ate $\frac{4}{6}$ of her pizza. sam ate $\frac{1}{3}$ of his pizza. who ate more than half of their pizza? less than half?
2. select all the fractions that are greater than $\frac{8}{12}$.

$\frac{6}{6}$
$\frac{50}{100}$
$\frac{2}{4}$

Explanation:

Question 20

Step1: Find total sections

The orange is divided into 10 equal sections, so total is 10.

Step2: Find Lily's eaten sections

Lily ate 4 sections.

Step3: Find remaining sections

Remaining sections = Total - Lily's eaten = \(10 - 4 = 6\).

Step4: Find fraction of remaining

Fraction = \(\frac{Remaining}{Total} = \frac{6}{10} = \frac{3}{5}\).

Answer:

\(\frac{3}{5}\)

Question 23

First, find the fraction of the given model. The model has 4 parts, 3 shaded, so fraction is \(\frac{3}{4}\).
We need fractions with unlike denominators greater than \(\frac{3}{4}\).

• \(\frac{5}{6}\): Convert to common denominator with \(\frac{3}{4}\) (12), \(\frac{3}{4}=\frac{9}{12}\), \(\frac{5}{6}=\frac{10}{12}\), \(\frac{10}{12}>\frac{9}{12}\).
• \(\frac{7}{8}\): Convert to 8 and 4 (8), \(\frac{3}{4}=\frac{6}{8}\), \(\frac{7}{8}>\frac{6}{8}\).
• \(\frac{4}{5}\): Convert to 20, \(\frac{3}{4}=\frac{15}{20}\), \(\frac{4}{5}=\frac{16}{20}\), \(\frac{16}{20}>\frac{15}{20}\).