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# Dividing a Whole Number by a Fraction by NUMBEROCK

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## Description

A journey into medieval times is the perfect setting to learn how to divide a whole number by a fraction. Ivan is everyones favorite stone mason as he builds walls and seats from blocks of rocks for us to contemplate what it means to divide by a fraction. Meanwhile in the Kingdom there is a dragon afoot that threatens the peaceful learning process; yet, there is no reason to fear! A rapper knight has come to save the day, protect our wonderful stone mason teacher, and pledge his love to the princess of the land.

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Numberock Songs for:

USA

UK
KS2 Year 4 - Year 6 Maths

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LYRICS
I took my blocks and built two walls.

In each wall one block was one fourth of them all.

Two divided by one fourth equals eight;

eight blocks to build the wall at my castle gate.

To divide a whole number by a fraction we start

by dividing the whole number into fractional parts.

Then count the number of fractional parts present;

and that will be the quotient.

Then I took my blocks and built three seats.

One block was one fifth of each.

Three divided by one fifth equals fifteen;

that’s how many blocks it took to build my seats.

When there’s a fraction we want to divide by,

we can flip the fraction and multiply.

Think of three divided by one fifth:

we’ll get the same answer if we multiply and flip.

So these expressions are equal, and we call

five over one, one-fifths reciprocal.

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This video addresses the following Common Core Standards:
CCSS.Math.Content.5.NF.B.7.a
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

CCSS.Math.Content.5.NF.B.7.b
Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

CCSS.Math.Content.5.NF.B.7.c
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?