Adding Fractions with Unlike Denominators

Fractions practice

Add fractions whose denominators differ.

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About this practice

Add two fractions that have different denominators.

Each question adds two fractions that are less than 1, with different denominators from 2, 3, 4, 5, 6, 8, 10 or 12. The sum can be less than 1, equal to 1, or more than 1, and you enter it as one fraction.

Equivalent fractions are accepted, so an answer does not have to be in simplest form.

Typical level: Grade 5 and beyondStudents add and subtract fractions with unlike denominators in Grade 5. Curriculum timing varies.

Rewrite with a common denominator, then add

Pieces of different sizes cannot be added directly. Rewrite both fractions so the pieces are the same size, then add the numerators.

one third + one fourth

= four twelfths + three twelfths

Rewrite both over 12: 1/3 = 4/12 and 1/4 = 3/12.

= seven twelfths

Add the numerators and keep 12.

four twelfths three twelfths
Both are counted in twelfths, so the pieces are the same size.

You do not always have to multiply the denominators. Any common denominator works. In one half + one sixth, the denominator 6 already works: three sixths + one sixth = four sixths.