Dividing Fractions by Fractions and Whole Numbers

Grade 6 Math Worksheets

If a square tile is $\\frac{5}{8}$ of a foot wide and the width of the office cabin room for Melinda is 6 $\\frac{1}{4}$ feet, then how can we find the number of tiles Melinda would need to cover the width of her cabin?

For this, Melinda needs to divide the width of the tile by the width of the office cabin.

Let’s see how to do this.

$fractions$

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Dividing Fractions by Fractions and Whole Numbers - Grade 6 Math Worksheet PDF

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How To Divide A Fraction By A Fraction

Dividing fractions is very much similar to multiplying fractions, but it has one additional step, which is to write the reciprocal of the second fraction, as explained above.

$fractions and whole numbers$

Now since we know how to divide a fraction by a fraction, let’s us try to solve how many tiles would Melinda need for the width of her office cabin (This is the example continued from the starting of the topic).

Width of office cabin = 6 $\\frac{1}{4}$ feet = $\\frac{25}{4}$ feet

Width of each tile = $\\frac{5}{8}$

So, the number of tiles Melinda would need to cover the width of her office cabin

= $\\frac{25}{4}$ ÷ $\\frac{5}{8}$

= $\\frac{25}{4}$ x $\\frac{8}{5}$

= 5 × 2

= 10 tiles

Let’s see another situation to understand the concept better.

When a family of 7 shares a large pizza, we can think of the fraction dividing the whole number fraction being the share each shares and pizza being the whole number.

$fractions and whole numbers$

The pizza is divided into 7 pieces, so each one gets of the pizza.

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How To Divide A Fraction By A Whole Number

$fractions and whole numbers$

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Check Point

Solve the following

1. $\\frac{2}{3}$ ÷ $\\frac{1}{6}$

2. $\\frac{3}{8}$ ÷ 9

3. A bakery uses $\\frac{7}{8}$ of a bag of flour in each batch of pastries. The bakery used 1 $\\frac{3}{4}$ bag of flour yesterday. How many batches of pastries did the factory make?

4. Sophie divided 3 $\\frac{6}{7}$ gallons of ketchup equally into 6 smaller bottles to put on the tables in her Chinese restaurant. How much ketchup did she put in each bottle?

5. A family shared a large pizza by dividing it into pieces of $\\frac{1}{8}$ . If 2 kids got one

Answer key

1. 4

2. $\\frac{1}{24}$

3. 2

4. $\\frac{9}{14}$

5. $\\frac{1}{4}$

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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