Comparing Fractions

Fractions practice

Compare fractions using <, =, and >.

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About this practice

Decide whether the first fraction is less than, equal to, or greater than the second.

Each question shows two fractions that are less than 1, with denominators up to 10. Sometimes they share a denominator, sometimes a numerator, and sometimes neither.

Some pairs name the same amount, like 1/2 and 2/4, and then the answer is =. For < and >, the open side of the symbol faces the larger amount.

Typical level: Grade 4 and beyondStudents begin comparing fractions in Grade 3, starting with the same numerator or the same denominator. In Grade 4 they compare fractions more generally. Curriculum timing varies.

Compare the size of the amounts

Same denominator

The pieces are the same size, so the fraction with more pieces is larger.

three fifths > two fifths

Same numerator

Both have 1 piece, but the more equal parts a whole is cut into, the smaller each part is.

one third > one fifth

one third one fifth
Thirds are bigger than fifths, so the shaded part of one third is longer.

Same amount

Fractions written differently can name the same amount. When they do, the answer is =.

one half = two fourths

When the denominators and numerators both differ, rewrite the fractions with the same denominator first, then compare.