Fractional Value Tables
Most frequently used fractions and percentage equivalents for competitive exams
\( 1 = 100\% \)
\( \frac{1}{2} = 50\% \)
\( \frac{1}{3} = 33\frac{1}{3}\% = 33.33\% \)
\( \frac{1}{4} = 25\% \)
\( \frac{1}{5} = 20\% \)
\( \frac{1}{6} = 16\frac{2}{3}\% = 16.66\% \)
\( \frac{1}{7} = 14\frac{2}{7}\% = 14.28\% \)
\( \frac{1}{8} = 12\frac{1}{2}\% = 12.5\% \)
\( \frac{1}{9} = 11\frac{1}{9}\% = 11.11\% \)
\( \frac{1}{10} = 10\% \)
\( \frac{1}{11} = 9\frac{1}{11}\% = 9.09\% \)
\( \frac{1}{12} = 8\frac{1}{3}\% = 8.33\% \)
\( \frac{1}{13} = 7\frac{9}{13}\% = 7.69\% \)
\( \frac{1}{14} = 7\frac{1}{7}\% = 7.14\% \)
\( \frac{1}{15} = 6\frac{2}{3}\% = 6.66\% \)
\( \frac{1}{16} = 6\frac{1}{4}\% = 6.25\% \)
\( \frac{1}{17} = 5\frac{15}{17}\% = 5.88\% \)
\( \frac{1}{18} = 5\frac{5}{9}\% = 5.55\% \)
\( \frac{1}{19} = 5\frac{5}{19}\% = 5.26\% \)
\( \frac{1}{20} = 5\% \)
\( \frac{3}{8} = 37.5\% \)
\( \frac{5}{8} = 62.5\% \)
\( \frac{7}{8} = 87.5\% \)
\( \frac{2}{3} = 66.66\% \)
\( \frac{7}{16} = 43.75\% \)
\( \frac{9}{16} = 56.25\% \)
\( \frac{5}{7} = 71\frac{3}{7}\% = 71.42\% \)
\( \frac{2}{7} = 28\frac{4}{7}\% = 28.57\% \)
\( \frac{4}{7} = 57\frac{1}{7}\% = 57.14\% \)
\( \frac{5}{6} = 83\frac{1}{3}\% = 83.33\% \)
\( 58.33\% = 58\frac{1}{3}\% = \frac{7}{12} \)
\( 45.45\% = 45\frac{5}{11}\% = \frac{5}{11} \)
\( 31.25\% = 31\frac{1}{4}\% = \frac{5}{16} \)
\( 18.18\% = 18\frac{2}{11}\% = \frac{2}{11} \)
\( 44.44\% = 44\frac{4}{9}\% = \frac{4}{9} \)
\( 18.75\% = 18\frac{3}{4}\% = \frac{3}{16} \)
\( 26.66\% = 26\frac{2}{3}\% = \frac{4}{15} \)
| Fraction | % value | Fraction | % value |
|---|---|---|---|
| \( 1 \) | \( 100\% \) | \( \frac{1}{8} \) | \( 12.5\% \) |
| \( \frac{1}{2} \) | \( 50\% \) | \( \frac{1}{9} \) | \( 11.11\% \) |
| \( \frac{1}{3} \) | \( 33.33\% \) | \( \frac{1}{10} \) | \( 10\% \) |
| \( \frac{1}{4} \) | \( 25\% \) | \( \frac{1}{11} \) | \( \approx 9.09\% \) |
| \( \frac{1}{5} \) | \( 20\% \) | \( \frac{1}{12} \) | \( \approx 8.33\% \) |
| \( \frac{1}{6} \) | \( 16.66\% \) | \( \frac{1}{13} \) | \( \approx 7.69\% \) |
| \( \frac{1}{7} \) | \( \approx 14.28\% \) | \( \frac{1}{14} \) | \( \approx 7.14\% \) |
| \( \frac{2}{3} \) | \( 66.66\% \) | \( \frac{3}{4} \) | \( 75\% \) |
| \( \frac{1}{20} \) | \( 5\% \) | \( \frac{1}{25} \) | \( 4\% \) |
| \( \frac{3}{5} \) | \( 60\% \) | \( \frac{2}{5} \) | \( 40\% \) |
| \( \frac{2}{4} \) | \( 50\% \) | \( \frac{3}{10} \) | \( 30\% \) |
| \( \frac{4}{5} \) | \( 80\% \) | \( \frac{7}{10} \) | \( 70\% \) |
| \( \frac{5}{6} \) | \( 83.33\% \) | \( \frac{5}{8} \) | \( 62.5\% \) |
| \( \frac{3}{6} \) | \( 50\% \) | \( \frac{7}{8} \) | \( 87.5\% \) |
| \( \frac{2}{8} \) | \( 25\% \) | \( \frac{5}{9} \) | \( 55.55\% \) |
| \( \frac{4}{8} \) | \( 50\% \) | \( \frac{8}{9} \) | \( 88.88\% \) |
| \( \frac{6}{8} \) | \( 75\% \) | \( \frac{9}{10} \) | \( 90\% \) |
| \( \frac{7}{10} \) | \( 70\% \) | \( \frac{11}{12} \) | \( \approx 91.66\% \) |
| \( \frac{9}{10} \) | \( 90\% \) | \( \frac{13}{14} \) | \( \approx 92.85\% \) |
| \( \frac{19}{20} \) | \( 95\% \) | \( \frac{24}{25} \) | \( 96\% \) |
| \( \frac{17}{20} \) | \( 85\% \) | \( \frac{21}{25} \) | \( 84\% \) |
| \( \frac{13}{20} \) | \( 65\% \) | \( \frac{16}{25} \) | \( 64\% \) |
| \( \frac{11}{20} \) | \( 55\% \) | \( \frac{9}{25} \) | \( 36\% \) |
| \( \frac{3}{20} \) | \( 15\% \) | \( \frac{4}{25} \) | \( 16\% \) |
| \( \frac{7}{20} \) | \( 35\% \) | \( \frac{6}{25} \) | \( 24\% \) |
| Fraction | % value | Fraction | % value |
|---|---|---|---|
| \( \frac{2}{7} \) | \( \approx 28.57\% \) | \( \frac{3}{7} \) | \( \approx 42.85\% \) |
| \( \frac{4}{7} \) | \( \approx 57.14\% \) | \( \frac{5}{7} \) | \( \approx 71.42\% \) |
| \( \frac{6}{7} \) | \( \approx 85.71\% \) | \( \frac{3}{8} \) | \( 37.5\% \) |
| \( \frac{5}{8} \) | \( 62.5\% \) | \( \frac{7}{8} \) | \( 87.5\% \) |
| \( \frac{1}{16} \) | \( 6.25\% \) | \( \frac{3}{16} \) | \( 18.75\% \) |
| \( \frac{5}{16} \) | \( 31.25\% \) | \( \frac{7}{16} \) | \( 43.75\% \) |
| \( \frac{9}{16} \) | \( 56.25\% \) | \( \frac{11}{16} \) | \( 68.75\% \) |
| \( \frac{13}{16} \) | \( 81.25\% \) | \( \frac{15}{16} \) | \( 93.75\% \) |
| \( \frac{2}{9} \) | \( 22.22\% \) | \( \frac{4}{9} \) | \( 44.44\% \) |
| \( \frac{5}{9} \) | \( 55.55\% \) | \( \frac{7}{9} \) | \( 77.77\% \) |
| \( \frac{8}{9} \) | \( 88.88\% \) | \( \frac{2}{11} \) | \( \approx 18.18\% \) |
| \( \frac{3}{11} \) | \( \approx 27.27\% \) | \( \frac{4}{11} \) | \( \approx 36.36\% \) |
| \( \frac{5}{11} \) | \( \approx 45.45\% \) | \( \frac{6}{11} \) | \( \approx 54.54\% \) |
| \( \frac{7}{11} \) | \( \approx 63.63\% \) | \( \frac{8}{11} \) | \( \approx 72.72\% \) |
| \( \frac{9}{11} \) | \( \approx 81.81\% \) | \( \frac{10}{11} \) | \( \approx 90.90\% \) |
| \( \frac{2}{12} \) | \( 16.66\% \) | \( \frac{3}{12} \) | \( 25\% \) |
| \( \frac{4}{12} \) | \( 33.33\% \) | \( \frac{6}{12} \) | \( 50\% \) |
| \( \frac{8}{12} \) | \( 66.66\% \) | \( \frac{9}{12} \) | \( 75\% \) |
| \( \frac{10}{12} \) | \( 83.33\% \) | \( \frac{11}{12} \) | \( \approx 91.66\% \) |
| \( \frac{2}{13} \) | \( \approx 15.38\% \) | \( \frac{3}{13} \) | \( \approx 23.07\% \) |
| \( \frac{4}{13} \) | \( \approx 30.76\% \) | \( \frac{5}{13} \) | \( \approx 38.46\% \) |
| \( \frac{6}{13} \) | \( \approx 46.15\% \) | \( \frac{7}{13} \) | \( \approx 53.84\% \) |
| \( \frac{8}{13} \) | \( \approx 61.53\% \) | \( \frac{9}{13} \) | \( \approx 69.23\% \) |
| \( \frac{10}{13} \) | \( \approx 76.92\% \) | \( \frac{11}{13} \) | \( \approx 84.61\% \) |
| \( \frac{12}{13} \) | \( \approx 92.30\% \) | \( \frac{2}{14} \) | \( \approx 14.28\% \) |
| \( \frac{3}{14} \) | \( \approx 21.42\% \) | \( \frac{4}{14} \) | \( \approx 28.57\% \) |
| \( \frac{5}{14} \) | \( \approx 35.71\% \) | \( \frac{6}{14} \) | \( \approx 42.85\% \) |
| \( \frac{8}{14} \) | \( \approx 57.14\% \) | \( \frac{9}{14} \) | \( \approx 64.28\% \) |
| \( \frac{10}{14} \) | \( \approx 71.42\% \) | \( \frac{11}{14} \) | \( \approx 78.57\% \) |
| \( \frac{12}{14} \) | \( \approx 85.71\% \) | \( \frac{13}{14} \) | \( \approx 92.85\% \) |
| \( \frac{2}{15} \) | \( \approx 13.33\% \) | \( \frac{4}{15} \) | \( \approx 26.66\% \) |
| \( \frac{7}{15} \) | \( \approx 46.66\% \) | \( \frac{8}{15} \) | \( \approx 53.33\% \) |
| \( \frac{11}{15} \) | \( \approx 73.33\% \) | \( \frac{13}{15} \) | \( \approx 86.66\% \) |
| \( \frac{14}{15} \) | \( \approx 93.33\% \) | \( \frac{2}{16} \) | \( 12.5\% \) |
| \( \frac{4}{16} \) | \( 25\% \) | \( \frac{6}{16} \) | \( 37.5\% \) |
| \( \frac{8}{16} \) | \( 50\% \) | \( \frac{10}{16} \) | \( 62.5\% \) |
| \( \frac{12}{16} \) | \( 75\% \) | \( \frac{14}{16} \) | \( 87.5\% \) |
| Denominator | Fractions | % values |
|---|---|---|
| 2 | 1/2 | 50% |
| 3 | 1/3, 2/3 | 33.33%, 66.66% |
| 4 | 1/4, 2/4, 3/4 | 25%, 50%, 75% |
| 5 | 1/5, 2/5, 3/5, 4/5 | 20%, 40%, 60%, 80% |
| 6 | 1/6, 5/6 | 16.66%, 83.33% |
| 7 | 1/7, 2/7, 3/7, 4/7, 5/7, 6/7 | ≈14.28%, 28.57%, 42.85%, 57.14%, 71.42%, 85.71% |
| 8 | 1/8, 3/8, 5/8, 7/8 | 12.5%, 37.5%, 62.5%, 87.5% |
| 9 | 1/9, 2/9, 4/9, 5/9, 7/9, 8/9 | 11.11%, 22.22%, 44.44%, 55.55%, 77.77%, 88.88% |
| 10 | 1/10, 3/10, 7/10, 9/10 | 10%, 30%, 70%, 90% |
| 11 | 1/11, 2/11, 3/11, ..., 10/11 | ≈9.09%, 18.18%, 27.27%, ..., 90.90% |
| 12 | 1/12, 5/12, 7/12, 11/12 | ≈8.33%, 41.66%, 58.33%, 91.66% |
| 13 | 1/13, 2/13, 3/13, ..., 12/13 | ≈7.69%, 15.38%, 23.07%, ..., 92.30% |
| 14 | 1/14, 3/14, 5/14, 9/14, 11/14, 13/14 | ≈7.14%, 21.42%, 35.71%, 64.28%, 78.57%, 92.85% |
| 15 | 1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15 | ≈6.66%, 13.33%, 26.66%, 46.66%, 53.33%, 73.33%, 86.66%, 93.33% |
| 16 | 1/16, 3/16, 5/16, 7/16, 9/16, 15/16 | 6.25%, 18.75%, 31.25%, 43.75%, 56.25%, 93.75% |
| 17 | 1/17, 2/17, 3/17, ..., 16/17 | ≈5.88%, 11.76%, 17.64%, ..., 94.11% |
| 18 | 1/18, 5/18, 7/18, 11/18, 13/18, 17/18 | ≈5.55%, 27.77%, 38.88%, 61.11%, 72.22%, 94.44% |
| 19 | 1/19, 2/19, 3/19, ..., 18/19 | ≈5.26%, 10.52%, 15.78%, ..., 94.73% |
| 20 | 1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20 | 5%, 15%, 35%, 45%, 55%, 65%, 85%, 95% |
| 21 | 1/21, 2/21, 4/21, 5/21, 8/21, 10/21, 11/21, 13/21, 16/21, 17/21, 19/21, 20/21 | ≈4.76%, 9.52%, 19.04%, 23.80%, 38.09%, 47.61%, 52.38%, 61.90%, 76.19%, 80.95%, 90.47%, 95.23% |
| 22 | 1/22, 3/22, 5/22, 7/22, 9/22, 13/22, 15/22, 17/22, 19/22, 21/22 | ≈4.54%, 13.63%, 22.72%, 31.81%, 40.90%, 59.09%, 68.18%, 77.27%, 86.36%, 95.45% |
| 23 | 1/23, 2/23, 3/23, ..., 22/23 | ≈4.34%, 8.69%, 13.04%, ..., 95.65% |
| 24 | 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24 | ≈4.16%, 20.83%, 29.16%, 45.83%, 54.16%, 70.83%, 79.16%, 95.83% |
| 25 | 1/25, 2/25, 3/25, ..., 24/25 | 4%, 8%, 12%, ..., 96% |
| n | √n (approx) | n | √n (approx) |
|---|---|---|---|
| 1 | 1.000 | 9 | 3.000 |
| 2 | 1.414 | 10 | 3.162 |
| 3 | 1.732 | 11 | 3.317 |
| 4 | 2.000 | 12 | 3.464 |
| 5 | 2.236 | 13 | 3.606 |
| 6 | 2.449 | 14 | 3.742 |
| 7 | 2.646 | 15 | 3.873 |
| 8 | 2.828 | 16 | 4.000 |
| 17 | 4.123 | 18 | 4.242 |
| 19 | 4.358 | 20 | 4.472 |
| 21 | 4.582 | 22 | 4.690 |
| 23 | 4.795 | 24 | 4.898 |
| 25 | 5.000 | 26 | 5.099 |
| 27 | 5.196 | 28 | 5.291 |
| 29 | 5.385 | 30 | 5.477 |
| 31 | 5.567 | 32 | 5.656 |
| 33 | 5.744 | 34 | 5.831 |
| 35 | 5.916 | 36 | 6.000 |
| 37 | 6.082 | 38 | 6.164 |
| 39 | 6.244 | 40 | 6.324 |
| 41 | 6.403 | 42 | 6.480 |
| 43 | 6.557 | 44 | 6.633 |
| 45 | 6.708 | 46 | 6.782 |
| 47 | 6.855 | 48 | 6.928 |
| 49 | 7.000 | 50 | 7.071 |