ArithMind Mental Arithmetic Lessons

Phase 4: Professional

Fraction Frenzy

Find fractions of whole numbers mentally.

Read the lesson for this skill →

What This Drill Trains

Finding a fraction of a whole — “three-quarters of 80,” “two-fifths of 60” — connects fraction sense to everyday quantities. Fraction Frenzy focuses on unit fractions and simple composites so you practice divide-then-multiply thinking, which is also the heart of many percentage calculations.

How to Think During the Round

To find a/b of n: divide n by b to get one part, then multiply by a. Example: 3/4 of 80 → 80 ÷ 4 = 20, then 20 × 3 = 60. Prefer fractions that divide evenly in this drill; if a division feels messy, recheck that you chose the denominator as the first step.

You have 90 seconds. Accuracy still outranks raw speed: one calm method repeated well beats a streak of guesses. After the timer ends, notice which problems felt sticky — that short review is where real improvement happens.

Worked Examples

Study these before you press Start. Try to recreate the thinking without looking at the answer first.

¾ of 64

Thinking: 64 ÷ 4 = 16; 16 × 3 = 48.

Answer: 48

⅖ of 50

Thinking: 50 ÷ 5 = 10; 10 × 2 = 20.

Answer: 20

½ of 96

Thinking: Half of 96 is 48.

Answer: 48

Common Mistakes

  • Multiplying by the numerator before dividing by the denominator and then getting lost.
  • Swapping numerator and denominator (finding 4/3 instead of 3/4).
  • Confusing “fraction of” with fraction addition.

Practice Tips

  • Always say “divide by the bottom, multiply by the top.”
  • Connect ½, ¼, and ⅕ to the percentage anchors you already know.
  • Use the fractions & percentages lesson for mixed review after a few frenzy rounds.

Suggested Session Plan

  1. Read the method section once if this skill is new.
  2. Cover the answers and re-solve the three worked examples aloud.
  3. Start the timed round and stick to one strategy.
  4. Replay once, then write down any fact or pattern you missed.
  5. If the same error repeats, open the full lesson for more examples and a practice set with an answer key.

Full explanation, extra worked examples, and practice problems for this skill: open the related stage lesson .

Prefer a structured curriculum instead of random drills? Browse all learning stages or read the complete mental arithmetic guide . More timed drills live on the games hub.