Reference
Fraction Charts & Reference Tables
Three searchable charts below cover the fraction-to-decimal, fraction-to-percent, and common-denominator values that come up most often — scroll or filter instead of recalculating a value you've already looked up once. If the exact fraction or decimal you need isn't one of the rows already printed, use the calculator here: it's the same bidirectional decimal ↔ mixed number engine behind the dedicated decimal converter, kept close at hand as a companion to the charts.
Decimal
Result
View step-by-step working
Method
How to Read a Decimal-Equivalents Chart
Every row below packs a numerator, a denominator, a decimal, and a percent into one line. Once you know which column means what, reading one is a matter of matching a row, not doing arithmetic.
Worked Example — Reading the 1/16 Row
Find the denominator family first, then scan down to the matching numerator.
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Find the sixteenths section
denominator = 16
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Scan to numerator 1
1/16
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Read the decimal column
0.0625
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Read the percent column
6.25%
1/16 = 0.0625 = 6.25%
Quick Reference
Halves, Quarters, Eighths & Sixteenths — Decimal Equivalents
15 fractions built only from powers of two, already reduced and converted. Every decimal here terminates cleanly — none of these denominators ever produces a repeating decimal.
Quick Reference
Halves, Quarters, Eighths & Sixteenths — Percent Equivalents
The same fractions as the decimal chart above, read as a percent instead — useful when a problem asks for a rate or proportion rather than a raw decimal.
Quick Reference
Common Denominator Pairs — Least Common Denominator Chart
30 denominator pairs with their least common denominator (LCD) already worked out — the shared denominator two fractions need before they can be added or subtracted.
Search by either denominator to find the smallest common denominator for a pair of fractions. For anything outside this range, or for three and four fractions at once, the dedicated LCD calculator extends this same lookup with live working.
Why It Matters
Charts for Lookup, Calculators for Working
A chart and a calculator solve two different problems even when they land on the same number. A chart is built for pattern-spotting and quick recall — scanning a whole denominator family at once shows that every eighth needs three decimal digits, or that thirds and sixths always repeat while halves and quarters never do. That kind of side-by-side view is hard to get from typing one value at a time into a calculator, no matter how fast it responds.
A calculator, by contrast, is built to show its work for one specific input. The step-by-step panel behind the calculator above walks through the division that turns a numerator and denominator into decimal digits, or the reverse process that turns decimal digits back into a simplified fraction — detail a static chart has no room to include for every row at once.
That difference decides which tool fits a given moment. Checking whether 5/8 is bigger or smaller than 0.6 is a glance at a chart. Working out exactly how 17/32 converts, with every step shown for a homework answer, is a job for the calculator. Neither tool is more "correct" than the other — a chart is simply a calculator's output, pre-computed for the values people look up most often and laid out so dozens of them can be compared in one view.
The common-denominator chart above works the same way. It doesn't replace the reasoning behind finding an LCD — it just saves you from re-deriving the least common denominator for a pair of denominators you've already worked out once before, the same way a decimal chart saves you from re-dividing a numerator by its denominator every time it comes up again.
Common Mistakes
Where Chart Lookups Go Wrong
Questions
Frequently Asked Questions
Questions about using a reference chart well, not already covered elsewhere on the site.