Sumwise

What is 13/42 as a Decimal?

13/42 = 0.3(095238)

Decimal
0.3(095238)
Percentage
30.9524%
Simplified
13/42
Type
proper fraction

Sumwise · Checked by Theo Abbott · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Simplify: 13/42 is already in simplest form
  2. Divide the numerator by the denominator: 13 ÷ 42 = 0.30952381
  3. The digits in brackets repeat forever: 0.3(095238)
  4. Check: Work backwards: 0.309524 × 42 = 13, which is 13 once rounding is allowed for.

In a spreadsheet: =13/42. 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, 13/42 is 30.9524%. 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 13/42 of a cup needs 0.31 cups, about 74.2857 millilitres.

Comparing with nearby fractions

13/42 (0.3095) is bigger than 13/43 (0.3023) and smaller than 14/42 (0.3333). A bigger denominator means smaller pieces, so with the same numerator the fraction gets smaller.

Related results

Results for nearby numbers
1/42 as a decimal

1/42 = 0.0(238095)

2/42 as a decimal

2/42 = 0.(047619)

3/42 as a decimal

3/42 = 0.0(714285)

14/42 as a decimal

14/42 = 0.(3)

12/42 as a decimal

12/42 = 0.(285714)

The other way round: 42/13 as a decimal

Practice

3/97 as a decimal
Show answer

3/97 = 0.030927835051546391752577319587628865979381443298969072164948

55/47 as a decimal
Show answer

55/47 = 1.(1702127659574468085106382978723404255319148936)

8/27 as a decimal
Show answer

8/27 = 0.(296)

20/89 as a decimal
Show answer

20/89 = 0.(22471910112359550561797752808988764044943820)

82/69 as a decimal
Show answer

82/69 = 1.(1884057971014492753623)

23/27 as a decimal
Show answer

23/27 = 0.(851)

Calculate another

How answers are calculated and checked: methodology.

Questions

What is 13/42 as a Decimal?

13/42 as a decimal is 0.3(095238). Long-division steps and simplified fraction.

What is 13/42 as a percentage?

30.9524%. Multiply the decimal 0.309524 by 100.

What is 13/42 in simplest form?

13/42 is already in simplest form: 13 and 42 have no common factor other than 1.