Every day, the Lincoln Pet Store uses 3/4 of a bag of dog food to feed the dogs. How many days will 6 3/4 bags of dog food last? Write your answer as a fraction or as a whole or mixed number. _____ days

Understand the problem: Step 1: Understand the problem. We need to find out how many days 6 3/4 bags of dog food will last if each day 3/4 of a bag is used.Convert to improper fraction: Step 2: Convert mixed number to improper fraction. 6 3/4 bags can be written as (6 * 4 + 3)/4 = 27/4 bags.Divide to find days: Step 3: Divide the total bags by the daily usage to find the number of days. Total bags = 27/4, Daily usage = 3/4. Number of days = (27/4) ÷ (3/4) = (27/4) * (4/3) = 27/3 = 9 days.

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Every day, the Lincoln Pet Store uses $\frac{3}{4}$ of a bag of dog food to feed the dogs. How many days will $6\,\frac{3}{4}$ bags of dog food 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 Lincoln Pet Store uses

\frac{3}{4}

of a bag of dog food to feed the dogs. How many days will

6\,\frac{3}{4}

bags of dog food last?

\newline

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

\newline

\_\_\_

days

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find out how many days $6 \frac{3}{4}$ bags of dog food will last if each day $\frac{3}{4}$ of a bag is used.
Convert to improper fraction: Step $2$ : Convert mixed number to improper fraction. $\newline$ $6 \frac{3}{4}$ bags can be written as $(6 \times 4 + 3)/4 = \frac{27}{4}$ bags.
Divide to find days: Step $3$ : Divide the total bags by the daily usage to find the number of days. $\newline$ Total bags = $\frac{27}{4}$ , Daily usage = $\frac{3}{4}$ . $\newline$ Number of days = $\left(\frac{27}{4}\right) \div \left(\frac{3}{4}\right) = \left(\frac{27}{4}\right) \times \left(\frac{4}{3}\right) = \frac{27}{3} = 9$ days.