Sumwise

What is 8/90 as a Decimal?

8/90 = 0.0(8)

Decimal
0.0(8)
Percentage
8.8889%
Simplified
4/45
Type
proper 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: 8/90 = 4/45 (divide by 2)
  2. Divide the numerator by the denominator: 8 ÷ 90 = 0.08888889
  3. The digits in brackets repeat forever: 0.0(8)
  4. Check: Work backwards: 0.088889 × 90 = 8, which is 8 once rounding is allowed for.

In a spreadsheet: =8/90. 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, 8/90 is 8.8889%. It is a proper fraction, so its value is between 0 and 1, and it is less than one half.

Cooking: a recipe that asks for 8/90 of a cup needs 0.089 cups, about 21.3333 millilitres.

Comparing with nearby fractions

8/90 (0.0889) is bigger than 8/91 (0.0879) and smaller than 9/90 (0.1). A bigger denominator means smaller pieces, so with the same numerator the fraction gets smaller.

Related results

Results for nearby numbers
1/90 as a decimal

1/90 = 0.0(1)

2/90 as a decimal

2/90 = 0.0(2)

3/90 as a decimal

3/90 = 0.0(3)

9/90 as a decimal

9/90 = 0.1

7/90 as a decimal

7/90 = 0.0(7)

The other way round: 90/8 as a decimal. Flipping the fraction gives its reciprocal, 90/8 = 11.25; the two decimals multiply to exactly 1.

Practice

3/27 as a decimal
Show answer

3/27 = 0.(1)

1/25 as a decimal
Show answer

1/25 = 0.04

26/79 as a decimal
Show answer

26/79 = 0.(3291139240506)

80/18 as a decimal
Show answer

80/18 = 4.(4)

95/35 as a decimal
Show answer

95/35 = 2.(714285)

59/55 as a decimal
Show answer

59/55 = 1.0(72)

Calculate another

How answers are calculated and checked: methodology.

Questions

What is 8/90 as a Decimal?

8/90 as a decimal is 0.0(8). Long-division steps and simplified fraction.

What is 8/90 as a percentage?

8.8889%. Multiply the decimal 0.088889 by 100.

What is 8/90 in simplest form?

4/45. Divide the top and bottom by their greatest common factor, 2.