1/19 has 18 repeating decimal digits — long division takes ages. For a denominator ending in 9, Vedic maths divides by just one small number: one more than the digit before the 9.
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The trick
Ekadhikena Purvena — “by one more than the one before”
Denominator ending in 9: find the Ekadhika — one more than the digits before the 9 (19 → 2, 29 → 3, 39 → 4, 59 → 6).
Start: the top number ÷ Ekadhika gives the first decimal digit and a remainder.
Every next digit: put the remainder in front of the last digit and divide by the Ekadhika again.
Use it for: Fractions like 1/19, 7/29, 4/39, 2/49, 5/59 — and amazing friends with an 18-digit repeating pattern.
Worked example: 1/19 = 0.052631
19 → divide by 2.
1 ÷ 2 = 0 rem 1 → 0. Remainder 1 in front of 0 → 10 ÷ 2 = 5 rem 0 → 5.
Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.
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🏁 Trick 32 test
20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.
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