Question

9 georgia has 4 1/3 cups of sugar. she used 1 3/4 cups to bake a batch of chocolate chip cookies. how many cups of sugar does georgia have left? 10 eric spent 5 1/2 hours fishing this weekend. last weekend, he spent 3 2/3 hours fishing. how many more hours did eric spend fishing this weekend compared to last weekend?

Explanation:

Step1: Convert mixed numbers to improper fractions

Georgia's initial sugar: $4\frac{1}{5} = \frac{21}{5}$; Used sugar: $1\frac{3}{4} = \frac{7}{4}$
Eric's time this weekend: $5\frac{1}{2} = \frac{11}{2}$; Last weekend: $3\frac{2}{3} = \frac{11}{3}$

Step2: Find common denominators for subtraction

For Q9: Common denominator of 5 and 4 is 20. $\frac{21}{5} = \frac{84}{20}$, $\frac{7}{4} = \frac{35}{20}$
For Q10: Common denominator of 2 and 3 is 6. $\frac{11}{2} = \frac{33}{6}$, $\frac{11}{3} = \frac{22}{6}$

Step3: Subtract to find remaining/ difference

Q9: $\frac{84}{20} - \frac{35}{20} = \frac{49}{20}$? Correction: $4\frac{1}{5} = \frac{21}{5} = \frac{84}{20}$, $1\frac{3}{4} = \frac{7}{4} = \frac{35}{20}$. $\frac{84-35}{20} = \frac{49}{20} = 2\frac{9}{20}$ cups
Q10: $\frac{33}{6} - \frac{22}{6} = \frac{11}{6} = 1\frac{5}{6}$ hours

Step4: Simplify the results

Q9: $\frac{49}{20} = 2\frac{9}{20}$ cups
Q10: $\frac{11}{6} = 1\frac{5}{6}$ hours

Answer:

1. $\frac{37}{20}$ cups (or $1\frac{17}{20}$ cups)
2. $\frac{11}{6}$ hours (or $1\frac{5}{6}$ hours)