Back to Exercise: Compare two fractions with different numerators and different denominators

Exercises: Comparing Fractions

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Grade 4·21 problems·~32 min·Common Core Math - Grade 4·standard·4-nf-a-2

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Recall / Warm-Up

Compare: $\frac{3}{8}$ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $\frac{5}{8}$ (use >, <, or =).

Which is greater, $\frac{4}{9}$ or $\frac{4}{7}$ ?

$\frac{4}{7}$

$\frac{4}{9}$

They are equal

What fraction equals $\frac{2}{5}$ when the numerator and denominator are both multiplied by 3?

Fluency Practice

Compare $\frac{3}{4}$ and $\frac{5}{6}$ using common denominators. $\frac{3}{4} = \frac{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}}{12}$ and $\frac{5}{6} = \frac{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}}{12}$ . So $\frac{3}{4}$ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $\frac{5}{6}$ (use >, <, or =).

Compare $\frac{5}{6}$ and $\frac{7}{8}$ using common denominators (LCD 24). Which comparison is correct?

$\frac{5}{6} < \frac{7}{8}$

$\frac{5}{6} > \frac{7}{8}$

$\frac{5}{6} = \frac{7}{8}$

Compare $\frac{3}{5}$ and $\frac{3}{8}$ using common numerators. Which fraction is greater?

$\frac{3}{5}$

$\frac{3}{8}$

They are equal

To test whether $\frac{3}{8}$ is greater than or less than $\frac{1}{2}$ , double the numerator: $2 \times 3 = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . Since this is less than 8, $\frac{3}{8}$ is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $\frac{1}{2}$ (use <, >, or =).

Compare $\frac{5}{12}$ and $\frac{4}{7}$ using the benchmark $\frac{1}{2}$ .

$\frac{5}{12} < \frac{4}{7}$

$\frac{5}{12} > \frac{4}{7}$

$\frac{5}{12} = \frac{4}{7}$

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