Compare non-unit fractions including those equal to 1

Maths

In this unit pupils will explain that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole. In the future unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.

In the prior unit pupils quantified the number of items in each part and connected to the unit fraction operator. They calculated the value of a part by connecting knowledge of division and division facts with finding a fraction of a quantity. In this unit pupils will explain that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole.

Non-unit fractions

Sofia loves milkshake. Would she rather have $$\frac{4}{7}$$, $$\frac{5}{7}$$ or $$\frac{6}{7}$$ of a milkshake?

Sofia loves milkshake. Would she rather have $$\frac{2}{3}$$, $$\frac{2}{4}$$ or $$\frac{2}{5}$$ of a milkshake?

Order these fractions from smallest to largest.

Order the fractions from smallest to largest.

What fraction would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?

$$\frac{6}{7}$$ is less than $$\frac{7}{7}$$

$$\frac{6}{7}$$ is greater than $$\frac{7}{7}$$

$$\frac{6}{7}$$ is equal to $$\frac{7}{7}$$

Sofia is comparing $$\frac{6}{7}$$ and $$\frac{7}{7}$$ Which of these is true?

What fractions would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?

 Order these fractions from smallest to largest.

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