Solutions: Section 7.5

Page 162: Figure It Out

Q1. How many whole units in $\frac{7}{2}$? Answer: 3 whole units ($\frac{6}{2} = 3$), with $\frac{1}{2}$ remaining.

Q2. Whole units in $\frac{4}{3}$ and $\frac{7}{3}$?

• $\frac{4}{3}$: 1 whole unit.
• $\frac{7}{3}$: 2 whole units.

Q3. Write as mixed fractions:

• a. $\frac{9}{2} = 4 \frac{1}{2}$
• b. $\frac{9}{5} = 1 \frac{4}{5}$
• c. $\frac{21}{19} = 1 \frac{2}{19}$
• d. $\frac{47}{9} = 5 \frac{2}{9}$
• e. $\frac{12}{11} = 1 \frac{1}{11}$
• f. $\frac{19}{6} = 3 \frac{1}{6}$

Page 163: Figure It Out (Mixed to Improper)

Q1. Write as fractions:

• a. $3 \frac{1}{4} = \frac{13}{4}$
• b. $7 \frac{2}{3} = \frac{23}{3}$
• c. $9 \frac{4}{9} = \frac{85}{9}$
• d. $3 \frac{1}{6} = \frac{19}{6}$
• e. $2 \frac{3}{11} = \frac{25}{11}$
• f. $3 \frac{9}{10} = \frac{39}{10}$