What is 2 and 8/9 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 2 8/9 as a decimal?

Answer

Fraction 2 8/9 as a decimal is
2.8

≈ 2.89 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 8 — it repeats forever

2 8/9: whole part, then 8 ÷ 9

Whole part 2 stays in front; divide the fraction part:

remainder×10= digit × 9 + new remainderdigit
8808 × 9 + 88

Remainder 8 is back after the 1st division → the digit 8 repeats forever: 0.8.

2 + 0.8 = 2.8

See Also

Fraction to Decimal Conversion Table

FractionDecimal
2 8/92.8
2 8/102.8
2 8/112.72
2 8/122.6
2 8/132.615384
2 8/142.571428
2 8/152.53
2 8/172.4705882352941176
2 8/182.4
2 8/202.4

FAQ

What is 2 8/9 as a decimal?

Fraction 2 8/9 as a decimal is 2.(8)

How do you convert 2 8/9 to a decimal?

To convert 2 8/9 to a decimal, divide the numerator by the denominator, 8 ÷ 9 = 0.(8), then add the whole part: 2 + 0.(8) = 2.(8).

Why is 2 8/9 a repeating decimal?

In lowest terms its denominator 9 = 3 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 2 8/9 as a percent?

Multiply by 100: 2 8/9 ≈ 288.89%.