Akira made 2/3 of a kilogram of trail mix. If she puts 1/6 of a kilogram into each bag, how many bags can Akira fill? Write your answer as a fraction or as a whole or mixed number. _____ bags

Identify total amount: Step 1: Identify the total amount of trail mix and the amount each bag can hold. Total trail mix: 2/3 kg Amount per bag: 1/6 kg We need to divide the total trail mix by the amount each bag can hold to find the number of bags. Calculation: (2/3) ÷ (1/6)Perform division: Step 2: Perform the division to find the number of bags. Using the property of division of fractions, (2/3) ÷ (1/6) is equivalent to (2/3) * (6/1). Calculation: (2/3) * (6/1) = 12/3 = 4

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Grade 7

Divide fractions and mixed numbers: word problems

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Q. Akira made

\frac{2}{3}

of a kilogram of trail mix. If she puts

\frac{1}{6}

of a kilogram into each bag, how many bags can Akira fill?

\newline

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

\newline

_____ bags

Identify total amount: Step $1$ : Identify the total amount of trail mix and the amount each bag can hold. $\newline$ Total trail mix: $\frac{2}{3}$ kg $\newline$ Amount per bag: $\frac{1}{6}$ kg $\newline$ We need to divide the total trail mix by the amount each bag can hold to find the number of bags. $\newline$ Calculation: $\left(\frac{2}{3}\right) \div \left(\frac{1}{6}\right)$
Perform division: Step $2$ : Perform the division to find the number of bags. $\newline$ Using the property of division of fractions, $(\frac{2}{3}) \div (\frac{1}{6})$ is equivalent to $(\frac{2}{3}) \times (\frac{6}{1})$ . $\newline$ Calculation: $(\frac{2}{3}) \times (\frac{6}{1}) = \frac{12}{3} = 4$