Fraction Chart

A fraction wall from one whole to twelfths. Tap a piece to see the fractions equal to it, compare any two, and print it free.

A fraction chart (or fraction wall) stacks one whole cut into halves, thirds, fourths and so on, all the same length. Pieces that line up are equal: 1/2 lines up with 2/4, 3/6, 4/8, 5/10 and 6/12.

The bigger the denominator, the smaller each piece: 1/3 is bigger than 1/4.

Fraction chart 1 to 12

Tap any piece to see the fractions equal to it. The piece you tap and everything to its left is the fraction, so the third piece in the fourths row is 3/4.

Tap a piece to see the fractions equal to it.

How to read a fraction wall

Each row is one whole. The top bar is 1; the row below it is 2 halves, then 3 thirds, down to 12 twelfths.
The denominator is the number of pieces in the row. The numerator is how many you count from the left.
Draw a straight line down. Every piece edge on the line is a fraction equal to the others: a line at 3/4 also passes 6/8 and 9/12.

Equivalent fractions on the chart

Rows whose denominators share a factor line up. Halves, fourths, sixths, eighths and twelfths meet at 1/2; thirds, sixths, ninths and twelfths meet at every third; fifths and tenths meet at every fifth. Sevenths and elevenths line up with nothing else on the wall, because no other denominator up to 12 is a multiple of 7 or 11.

The rule behind the picture: multiply or divide the top and bottom by the same number. 2/3 = 4/6 = 8/12 because 2 × 4 = 8 and 3 × 4 = 12. For printed practice, the equivalent fractions with a fraction wall sheet puts the wall at the top of the page.

Comparing fractions with the chart

Same numerator: the bigger denominator is the smaller fraction, because the whole is cut into more pieces. 3/8 < 3/5.
Same denominator: more pieces is more. 5/6 > 1/6.
Neither the same: see whose bar reaches further, or rename both with a common denominator: 2/3 = 10/15 and 3/5 = 9/15, so 2/3 is bigger.

Turn on Compare two fractions above to check any pair, or practise on the comparing fractions worksheet.

Fraction, decimal and percent chart

The common fractions with their equal fractions on the wall, as a decimal and as a percent. A “…” means the decimal repeats forever: 1/3 = 0.333…

Fraction	Equal fractions on the wall	Decimal	Percent
1/2	2/4, 3/6, 4/8, 5/10, 6/12	0.5	50%
1/3	2/6, 3/9, 4/12	0.333…	33 1/3%
2/3	4/6, 6/9, 8/12	0.666…	66 2/3%
1/4	2/8, 3/12	0.25	25%
3/4	6/8, 9/12	0.75	75%
1/5	2/10	0.2	20%
2/5	4/10	0.4	40%
3/5	6/10	0.6	60%
4/5	8/10	0.8	80%
1/6	2/12	0.166…	16 2/3%
5/6	10/12	0.833…	83 1/3%
1/8	—	0.125	12.5%
3/8	—	0.375	37.5%
5/8	—	0.625	62.5%
7/8	—	0.875	87.5%
1/10	—	0.1	10%
3/10	—	0.3	30%
1/12	—	0.083…	8 1/3%

Printable fraction charts

Free PDFs with no login. The fraction chart has this decimal and percent table on page 2; the blank wall and the worksheet have answer keys.

Fraction Chart (Fraction Wall)

Grades 3–5

A fraction wall from one whole to twelfths, plus a fraction, decimal and percent table on page 2.

Download PDF (48 KB)

Blank Fraction Wall

Grades 3–4

Label every piece from halves to twelfths; the filled wall is the key.

Download PDF (48 KB)

Equivalent Fractions with a Fraction Wall

Grades 3–4

Fifteen equivalent fractions to find by lining up pieces on the wall printed at the top.

Download PDF (15 problems · 47 KB)

More practice: the fraction worksheets (shading, comparing, adding, mixed numbers), and fractions on a number line, which is the same idea laid out on one line.

When kids learn it

3rd grade: unit fractions like 1/4, fractions on a number line, and equivalent and compared fractions with denominators 2, 3, 4, 6 and 8 (3rd grade math).
4th grade: equivalent fractions by multiplying, comparing unlike fractions, fifths, tenths, twelfths and hundredths, and tenths and hundredths as decimals (4th grade math).
5th grade: adding and subtracting unlike fractions with a common denominator (fraction addition).

From the chart to quick recall

A short adaptive quiz on fractions finds the ones your child misses and brings them back. Free, with no login.

Practise fractions

Common questions

What is a fraction chart?

A fraction chart, or fraction wall, shows one whole and the same whole cut into halves, thirds, fourths and so on, stacked in rows of equal length. Pieces that line up are equal fractions, and longer pieces are bigger fractions.

How do you find equivalent fractions on a fraction chart?

Find the first fraction, then look straight down or up the chart. Any row whose piece edges meet the same line has an equal fraction: 1/2, 2/4, 3/6, 4/8, 5/10 and 6/12 all end at the same place.

Which is bigger, 1/3 or 1/4?

1/3. The whole is cut into fewer pieces, so each piece is bigger. With the same numerator, the fraction with the smaller denominator is always bigger.

What is 3/8 as a decimal and a percent?

0.375, or 37.5%. The chart on this page lists the decimal and percent for the common fractions from halves to twelfths.

Is the fraction chart free to print?

Yes. The fraction chart PDF, a blank fraction wall to label and an equivalent fractions worksheet are free with no login, and each has a key or a table on page 2.