Every day, the Chu Family Restaurant serves 4 bottles of soda to their customers. How many days will 6 2/3 bottles of soda last? Write your answer as a fraction or as a whole or mixed number. _____ days

Identify total amount: Step 1: Identify the total amount of soda and daily usage. Total soda: 6 2/3 bottles, Daily usage: 4 bottles, We need to find out how many days the total soda will last by dividing the total soda by the daily usage. Calculation: 6 2/3 ÷ 4 Convert to improper fraction: Step 2: Convert the mixed number to an improper fraction for easier division. 6 2/3 = (6×3 + 2)/3 = 20/3, Now divide 20/3 by 4. Calculation: (20/3) ÷ 4 = 20/3 × 1/4 = 20/12 = 5/3 Simplify the fraction: Step 3: Simplify the fraction to get the final answer. 5/3 can be written as 1 2/3, So, 6 2/3 bottles of soda will last for 1 2/3 days.

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Every day, the Chu Family Restaurant serves $4$ bottles of soda to their customers. How many days will $6\frac{2}{3}$ bottles of soda last? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ days

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Grade 7

Add, subtract, multiply, and divide fractions and mixed numbers: word problems

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Q. Every day, the Chu Family Restaurant serves

4

bottles of soda to their customers. How many days will

6\frac{2}{3}

bottles of soda last?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ days

Identify total amount: Step $1$ : Identify the total amount of soda and daily usage. $\newline$ Total soda: $6\frac{2}{3}$ bottles, $\newline$ Daily usage: $4$ bottles, $\newline$ We need to find out how many days the total soda will last by dividing the total soda by the daily usage. $\newline$ Calculation: $6\frac{2}{3} \div 4$
Convert to improper fraction: Step $2$ : Convert the mixed number to an improper fraction for easier division. $\newline$ $6 \frac{2}{3} = (6\times3 + 2)/3 = \frac{20}{3}$ , $\newline$ Now divide $\frac{20}{3}$ by $4$ . $\newline$ Calculation: $\left(\frac{20}{3}\right) \div 4 = \frac{20}{3} \times \frac{1}{4} = \frac{20}{12} = \frac{5}{3}$
Simplify the fraction: Step $3$ : Simplify the fraction to get the final answer. $\newline$ $\frac{5}{3}$ can be written as $1 \frac{2}{3}$ , $\newline$ So, $6 \frac{2}{3}$ bottles of soda will last for $1 \frac{2}{3}$ days.