Fraction addition practice from like denominators to LCDs

Free, no-login fraction addition drills. Like denominators (4th grade), unlike denominators (5th grade), and mixed numbers (5th–6th grade).

Fraction addition is the first hard procedural skill in fractions arithmetic. Adding fractions with the same denominator (1/4 + 2/4) feels obvious. Adding fractions with unlike denominators (1/3 + 1/4) is where most kids first run into “wait, what?” territory — you can’t just add the numerators, you have to find a common denominator first. That extra step is where the procedural complexity of fractions really starts.

The two main types of fraction addition

Like denominators (3/8 + 2/8 = 5/8)

Add the numerators, keep the denominator. The CCSS 4th-grade standard (4.NF.B.3.a). Conceptually intuitive, procedurally almost trivial. Num Drill’s fractions level 2 drills this. Most 4th graders should hit fluency on level 2 in a couple of weeks.

Unlike denominators (1/3 + 1/4 = 7/12)

Find a common denominator (typically the LCD), convert both fractions, then add the numerators. The CCSS 5th-grade standard (5.NF.A.1) and the single hardest jump in elementary fractions. Drilled at fractions level 3.

Why unlike denominators are so hard

Three layers of cognitive work happen at the same time:

1. Find the LCD. What multiple do both denominators share? For 1/3 + 1/4, the LCD is 12.
2. Convert both fractions. 1/3 becomes 4/12; 1/4 becomes 3/12.
3. Add the numerators. 4/12 + 3/12 = 7/12.

Each step requires recall (multiplication facts for finding the LCD), correct procedure (cross-multiplying numerator and denominator the same way), and place-value tracking. Kids who don’t have multiplication facts in instant recall stall on step 1 immediately. Drill multiplication facts first if needed.

How Num Drill grades fraction addition

Answers are graded on reduced-form equivalence: 6/12 and 1/2 are both accepted as the same answer. We don’t require a particular reduced form unless the level is explicitly testing reduction (level 1). That keeps the focus on whether your child got the math right.

A 4-week unlike-denominators routine

For a 5th grader who has like-denominator addition fluent but is stuck on unlike denominators:

• Week 1: Diagnostic. Run a 10-question fractions level 3 quiz. Note accuracy and per-question time. If accuracy is below 60%, drill multiplication level 3 for the week before returning.
• Week 2: Daily fractions level 3 quiz. Don’t push speed; aim for 80%+ accuracy. The procedure has to land before the speed.
• Week 3: Fractions level 3 daily, watching per-question time. Aim for under 25 seconds per question.
• Week 4: Re-baseline. Compare accuracy and time to week 1. By now most kids should be at 90%+ accuracy and under 20 seconds.

What about mixed numbers in addition?

Adding mixed numbers (2 1/3 + 1 2/5) lives at fractions level 5 in Num Drill. It’s genuinely a separate skill because converting between mixed numbers and improper fractions is its own procedural step. Most 5th graders should get level 3 (unlike denominators on plain fractions) solid before tackling level 5.

Related reading: fractions practice · fraction subtraction practice · fraction multiplication practice · 5th grade math practice