What is 2 and 7/9 as a Decimal?

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What is 2 7/9 as a decimal?

Answer

Fraction 2 7/9 as a decimal is
2.7

≈ 2.78 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 7 — it repeats forever

2 7/9: whole part, then 7 ÷ 9

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

remainder×10= digit × 9 + new remainderdigit
7707 × 9 + 77

Remainder 7 is back after the 1st division → the digit 7 repeats forever: 0.7.

2 + 0.7 = 2.7

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Fraction to Decimal Conversion Table

FractionDecimal
2 7/82.875
2 7/92.7
2 7/102.7
2 7/112.63
2 7/122.583
2 7/132.538461
2 7/142.5
2 7/152.46
2 7/162.4375
2 7/182.38
2 7/192.368421052631578947
2 7/202.35

FAQ

What is 2 7/9 as a decimal?

Fraction 2 7/9 as a decimal is 2.(7)

How do you convert 2 7/9 to a decimal?

To convert 2 7/9 to a decimal, divide the numerator by the denominator, 7 ÷ 9 = 0.(7), then add the whole part: 2 + 0.(7) = 2.(7).

Why is 2 7/9 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 7/9 as a percent?

Multiply by 100: 2 7/9 ≈ 277.78%.

See Also