How Many Bags
Part of the Factors & Fractions section of Coddy's Pre-Algebra journey. Lesson 42 of 58.
You have 2/3 of a litre of juice and pour it into glasses that hold 1/6 of a litre each. How many glasses can you fill? The question is how many sixths fit into 2/3, and that is a division.
Pick a letter, g for glasses: g = 2/3 ÷ 1/6. On the board you type the division with a slash, and it shows as a fraction bar. Flip and multiply: g = (2/3) × 6, which is g = 12/3, and that is g = 4. Four glasses.
Check it by going the other way: 4 glasses of 1/6 litre is 4 × (1/6), which is 4/6, the same as 2/3. Every bit of the juice is used.
Challenge
You have 3/4 of a kilogram of rice and pack it into bags that hold 1/8 of a kilogram each. How many bags n can you fill? Write n equal to the division, then work it out.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Factors & Fractions
1Factors and Multiples
What a Factor IsFactor PairsDivisibility RulesMultiplesPrime or CompositeRecap: Factors and Multiples4What a Fraction Is
Parts of a WholeFractions on the LineA Fraction of a NumberImproper FractionsRecap: What a Fraction Is7Multiplying Fractions
Top Times TopCancel FirstWhole Times FractionA Fraction of a FractionRecap: Multiplying Fractions10Fractions in Stories
Part of a GroupWhat Is LeftSharing a FractionScaling a RecipeRecap: Fraction Stories2Prime Factorization
Factor TreesUsing ExponentsOne Tree per NumberBigger NumbersRecap: Prime Factorization5Equivalent Fractions
Same Amount, New NameSimplifying FractionsSimplify in StepsComparing FractionsRecap: Equivalent Fractions8Dividing Fractions
How Many FitMultiply by the ReciprocalDividing by a Whole NumberHow Many BagsRecap: Dividing Fractions