Review comparing unit fractions

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

$$\frac{1}{6}$$ is less than $$\frac{1}{7}$$

$$\frac{1}{6}$$ is greater than $$\frac{1}{7}$$

$$\frac{1}{6}$$ is equal to $$\frac{1}{7}$$

Sofia is comparing comparing $$\frac{1}{6}$$ and $$\frac{1}{7}$$ Which of these is true?

$$\frac{1}{10}$$ is less than $$\frac{1}{9}$$

$$\frac{1}{10}$$ is greater than $$\frac{1}{9}$$

$$\frac{1}{10}$$ is equal to $$\frac{1}{9}$$

Jacob is comparing $$\frac{1}{10}$$ and $$\frac{1}{9}$$ Which of these are true?

Which fraction would appear on a number line between $$\frac{1}{2}$$ and $$\frac{1}{4}$$?

Which fraction would appear on a number line between $$\frac{1}{4}$$ and $$\frac{1}{6}$$?

$$\frac{5}{6}$$ is greater than $$\frac{4}{6}$$

$$\frac{5}{6}$$ is less than $$\frac{4}{6}$$

$$\frac{5}{6}$$ is equal to $$\frac{4}{6}$$

Put these fractions in order, starting with the smallest.

Put these fractions in order, starting with the greatest.

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