Math Snap

STEP 1

1. The total amount of Sprinkle Chow made is $9 \frac{1}{6}$ cups.
2. The co-host eats $3 \frac{1}{8}$ cups.
3. The producer eats $4 \frac{1}{3}$ cups.
4. We need to find out how much Sprinkle Chow is left.

STEP 2

1. Convert mixed numbers to improper fractions.
2. Subtract the amounts eaten from the total.
3. Convert the result back to a mixed number if necessary.

STEP 3

Convert $9 \frac{1}{6}$ to an improper fraction.
$$9 \frac{1}{6} = \frac{55}{6}$$

STEP 4

Convert $3 \frac{1}{8}$ to an improper fraction.
$$3 \frac{1}{8} = \frac{25}{8}$$

STEP 5

Convert $4 \frac{1}{3}$ to an improper fraction.
$$4 \frac{1}{3} = \frac{13}{3}$$

STEP 6

Find a common denominator for the fractions $\frac{55}{6}$, $\frac{25}{8}$, and $\frac{13}{3}$.
The least common denominator is $24$.

STEP 7

Convert $\frac{55}{6}$ to a fraction with a denominator of $24$.
$$\frac{55}{6} = \frac{220}{24}$$

STEP 8

Convert $\frac{25}{8}$ to a fraction with a denominator of $24$.
$$\frac{25}{8} = \frac{75}{24}$$

STEP 9

Convert $\frac{13}{3}$ to a fraction with a denominator of $24$.
$$\frac{13}{3} = \frac{104}{24}$$

STEP 10

Subtract the amounts eaten from the total.
$$\frac{220}{24} - \frac{75}{24} - \frac{104}{24} = \frac{220 - 75 - 104}{24} = \frac{41}{24}$$

Convert $\frac{41}{24}$ back to a mixed number.
$$\frac{41}{24} = 1 \frac{17}{24}$$ The amount of Sprinkle Chow left for you to take home is:
$$\boxed{1 \frac{17}{24} \text{ cups}}$$