Write each fraction in simplest form.
Every fraction shown can be simplified: its top and bottom share a factor from 2 to 10. The fractions are less than 1, with denominators up to 60, and each one simplifies to a fraction with a denominator of 2, 3, 4, 5, 6, 8, 10 or 12.
Enter both the numerator and the denominator. A fraction with the right value that can still be simplified is marked wrong.
Typical level: Grade 4 and beyondSimplifying fractions builds on Grade 4 work with recognizing and generating equivalent fractions. Curriculum timing varies.
Dividing the top and bottom by the same number keeps the amount the same. It is Equivalent Fractions worked backward, with fewer, larger pieces. You are finished when the only number that divides both is 1.
eight twelfths
Both are even, so divide the top and bottom by 2: 8 ÷ 2 = 4 and 12 ÷ 2 = 6. The amount is the same, but 4 and 6 still share a 2.
Divide by 2 again. Only 1 divides both 2 and 3, so this is simplest form.
The largest number that divides both, here 4, gets there in one step: 8 ÷ 4 = 2 and 12 ÷ 4 = 3. Dividing by a smaller common factor and repeating reaches the same answer.
Stopping early: four sixths is worth the same as eight twelfths, but it is not finished. If the top and bottom still share a factor, keep going.