Fractions Table: Decimal & Percent Reference Chart
Browse a fractions table from 1/2 up to 1/16, sorted by value, with each row's decimal, percent, and equivalent fractions — plus a fraction highlighter.
How to use this table
Pick a max denominator from the dropdown — 4, 6, 8, 12, or 16 — to control how many rows the table shows. Every fraction n/d with 2 ≤ d ≤ max and 1 ≤ n ≤ d appears once, sorted from the smallest value (near 0) to the largest (1), with its decimal and percent alongside it.
Type a fraction like 3/8 into the highlight box (or tap one of the example chips) to jump straight to its row. The answer above shows the fraction's value even if its denominator is larger than the current max — in that case the table itself won't show a highlighted row until you raise the max denominator.
Worked lookup: 3/8
Look up 3/8 in the table (max denominator 16 or higher):
Its only equivalent within the 2–16 range is 6/16, since . Both forms sit on the same row because they represent the exact same value.
Reading decimals and percents together
Every row shows the same value written three ways:
- Fraction — the exact, reduced form (and any equivalents within range).
- Decimal — the fraction divided out, shown to 5 places (
1/3 → 0.33333). - Percent — the decimal times 100, shown to 2 places (
1/3 → 33.33%).
This is the same relationship used by a standalone fraction to decimal or fraction to percent conversion — this table just runs it for every fraction up to your chosen denominator at once, so you can scan for a value instead of converting one at a time.
Why equivalent fractions group together
Within denominators 2 through 16, 1/2 has the most company: it also appears as 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, and 8/16 — eight different ways to write exactly one-half. Smaller reduced fractions like 5/12 or 7/16 often have no equivalents at all in this range, because their denominator doesn't divide evenly into a smaller or larger one already listed.
Common values quick reference
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25000 | 25.00% |
| 1/3 | 0.33333 | 33.33% |
| 1/2 | 0.50000 | 50.00% |
| 2/3 | 0.66667 | 66.67% |
| 3/4 | 0.75000 | 75.00% |
Precision note
Decimals and percents are computed with arbitrary-precision arithmetic, not floating-point Number math, so values like 1/3 round consistently to 0.33333 every time rather than drifting by a fraction of a bit. Two fractions are only ever treated as equal when their reduced numerator and denominator match exactly — never by comparing decimal approximations.
Frequently asked questions
- What does this fractions table show?
- Every distinct fraction value from denominator 2 up to your chosen max denominator, sorted from smallest (0) to largest (1), with its decimal, percent, and any equivalent forms grouped in the same row.
- Why do some fractions share a row?
- 1/2, 2/4, 3/6, and 6/12 all reduce to the same value, so the table groups them together instead of listing the same number four times. The row shows the reduced form plus the other equivalent forms.
- How is 3/8 read from the table?
- Find the row for 3/8 (or type it into the highlight box) — its decimal is 0.375 and its percent is 37.5%. Any equivalent, like 6/16, sits on the same row.
- What happens if I highlight a fraction with a denominator above the max?
- It still shows the fraction's decimal and percent in the answer, but the row is not in the visible table, and a note tells you to raise the max denominator to see it highlighted.
- Why round to 5 decimal places?
- Five decimal places is enough to show repeating patterns clearly — for example 1/3 = 0.33333 — without the extra digits repeating decimals would otherwise need.
- How is the percent calculated from the fraction?
- Percent is the decimal value multiplied by 100, with a percent sign appended — 0.375 becomes 37.50%. It uses the exact fraction, not a rounded decimal, so the last digit stays accurate.
- Can I use this table to compare two fractions?
- Yes — because the table is sorted by value, whichever fraction sits lower on the list is the smaller value. Comparing 3/8 and 5/12 is just a matter of seeing which row comes first.
- Does the max denominator setting change the fractions themselves?
- No — it only changes how many rows are shown. Lowering it to 4 shows only halves and quarters; raising it to 16 adds every sixteenth, twelfth, eighth, sixth, and third in between.