What is 7/21 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 7/21 as a decimal?

Answer

Fraction 7/21 as a decimal is
0.3

≈ 0.33 to hundredths

Repeating decimal: 7/21 = 1/3 · denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

7 ÷ 21 by long division

remainder×10= digit × 21 + new remainderdigit
7703 × 21 + 73

Remainder 7 is back after the 1st division → the digit 3 repeats forever: 0.3.

See Also

Fraction to Decimal Conversion Table

FractionDecimal
7/61.16
7/71
7/80.875
7/90.7
7/100.7
7/110.63
7/120.583
7/130.538461
7/140.5
7/150.46
7/160.4375
7/170.4117647058823529
7/180.38
7/190.368421052631578947
7/200.35
7/210.3
7/220.318
7/230.30434782608695…
7/240.2916
7/250.28
7/260.2692307
7/270.259
7/280.25
7/290.24137931034482…
7/300.23
7/310.225806451612903
7/320.21875
7/330.21
7/340.20588235294117647
7/350.2

FAQ

What is 7/21 as a decimal?

Fraction 7/21 as a decimal is 0.(3)

How do you convert 7/21 to a decimal?

To convert 7/21 to a decimal, divide the numerator by the denominator: 7 ÷ 21 = 0.(3).

Why is 7/21 a repeating decimal?

In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 7/21 as a percent?

Multiply by 100: 7/21 ≈ 33.33%.