Sumwise

What is 72/27 as a Decimal?

72/27 = 2.(6)

Decimal
2.(6)
Percentage
266.6667%
Simplified
8/3
Type
improper fraction

Sumwise · Maintained by Theo Abbott (pen name) · automated checks · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How the checks work

How to work it out

  1. Simplify: 72/27 = 8/3 (divide by 9)
  2. Divide the numerator by the denominator: 72 ÷ 27 = 2.66666667
  3. The digits in brackets repeat forever: 2.(6)
  4. Check: Work backwards: 2.666667 × 27 = 72, which is 72 once rounding is allowed for.

In a spreadsheet: =72/27. Dividing the denominator by the numerator flips the fraction. A bar over (or brackets around) digits means they repeat forever.

What the result means

As a percentage, 72/27 is 266.6667%. It is an improper fraction: as a mixed number it is 2 2/3.

Cooking: a recipe that asks for 72/27 of a cup needs 2.667 cups, about 640 millilitres.

Comparing with nearby fractions

72/27 (2.6667) is bigger than 72/28 (2.5714) and smaller than 73/27 (2.7037). A bigger denominator means smaller pieces, so with the same numerator the fraction gets smaller.

Related results

Results for nearby numbers
1/27 as a decimal

1/27 = 0.(037)

2/27 as a decimal

2/27 = 0.(074)

3/27 as a decimal

3/27 = 0.(1)

73/27 as a decimal

73/27 = 2.(703)

71/27 as a decimal

71/27 = 2.(629)

The other way round: 27/72 as a decimal. Flipping the fraction gives its reciprocal, 27/72 = 0.375; the two decimals multiply to exactly 1.

Practice

14/6 as a decimal
Show answer

14/6 = 2.(3)

51/77 as a decimal
Show answer

51/77 = 0.(662337)

44/48 as a decimal
Show answer

44/48 = 0.91(6)

60/85 as a decimal
Show answer

60/85 = 0.(7058823529411764)

89/96 as a decimal
Show answer

89/96 = 0.92708(3)

36/80 as a decimal
Show answer

36/80 = 0.45

Calculate another

How answers are calculated and checked: methodology.

Questions

What is 72/27 as a Decimal?

72/27 as a decimal is 2.(6). Long-division steps and simplified fraction.

What is 72/27 as a percentage?

266.6667%. Multiply the decimal 2.666667 by 100.

What is 72/27 in simplest form?

8/3. Divide the top and bottom by their greatest common factor, 9.