# Fraction comparison practice

## Which of these pairs can be compared directly (without using by considering residual amounts) by arguing from the number and size of pieces? (Same numerator, Same denominator and similar arguments)

$$\frac{3}{4}$$ and $$\frac{5}{6}$$

## Which of these pairs of fractions can be compared using the residual strategy?

$$\frac{3}{4}$$ and $$\frac{5}{6}$$

$$\frac{7}{8}$$ and $$\frac{19}{21}$$

$$\frac{7}{8}$$ and $$\frac{10}{12}$$

$$\frac{7}{9}$$ and $$\frac{10}{12}$$

## Find the error or omission in each of these explanations

A. $$\frac{2}{3}$$ is bigger than $$\frac{3}{4}$$ because thirds are larger than fourths.

B. $$\frac{3}{5}$$ is bigger than $$\frac{3}{8}$$ because fifths are bigger than eighths.

C. $$\frac{7}{8}$$ is bigger than $$\frac{10}{12}$$ because $$\frac{7}{8}$$ is fewer parts away from the whole.

D. $$\frac{7}{8}$$ is bigger than $$\frac{3}{4}$$ because it has more parts.      OR     $$\frac{6}{8}$$ is bigger than $$\frac{3}{4}$$ because it has more parts.      OR     $$\frac{5}{8}$$ is bigger than $$\frac{3}{4}$$ because it has more parts.

E. $$\frac{7}{8}$$ is smaller than $$\frac{3}{4}$$ because it has more parts in the whole.      OR     $$\frac{6}{8}$$ is smaller than $$\frac{3}{4}$$ because it has more parts in the whole.      OR     $$\frac{5}{8}$$ is smaller than $$\frac{3}{4}$$ because it has more parts in the whole.

F. $$\frac{7}{8}$$ is bigger than $$\frac{3}{4}$$ because it's closer to a whole.

G. $$\frac{7}{8}$$ is bigger than $$\frac{3}{4}$$ because 7 is a bigger part of 8 than 3 is of 4.

H. $$\frac{2}{5}$$ is smaller than $$\frac{5}{8}$$ because $$\frac{2}{5}$$ is smaller than $$\frac{1}{2}$$ and $$\frac{5}{8}$$ is larger than $$\frac{1}{2}$$ .

I. $$\frac{2}{8}$$ is smaller than $$\frac{3}{8}$$ because 2 is less than 3