What is 8 and 8/15 as a Decimal?

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What is 8 8/15 as a decimal?

Answer

Fraction 8 8/15 as a decimal is
8.53

≈ 8.53 to hundredths

Repeating decimal: denominator 15 = 3 × 5 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

8 8/15: whole part, then 8 ÷ 15

Whole part 8 stays in front; divide the fraction part:

remainder×10= digit × 15 + new remainderdigit
8805 × 15 + 55
5503 × 15 + 53

Remainder 5 repeats from the 2nd digit on → 0.53.

8 + 0.53 = 8.53

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
8 8/98.8
8 8/108.8
8 8/118.72
8 8/128.6
8 8/138.615384
8 8/148.571428
8 8/158.53
8 8/168.5
8 8/178.4705882352941176
8 8/188.4
8 8/198.421052631578947368
8 8/208.4
8 8/218.380952
8 8/228.36
8 8/238.34782608695652…
8 8/248.3
8 8/258.32
8 8/268.307692
8 8/278.296
8 8/288.285714
8 8/298.27586206896551…
8 8/308.26

FAQ

What is 8 8/15 as a decimal?

Fraction 8 8/15 as a decimal is 8.5(3)

How do you convert 8 8/15 to a decimal?

To convert 8 8/15 to a decimal, divide the numerator by the denominator, 8 ÷ 15 = 0.5(3), then add the whole part: 8 + 0.5(3) = 8.5(3).

Why is 8 8/15 a repeating decimal?

In lowest terms its denominator 15 = 3 × 5 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 8 8/15 as a percent?

Multiply by 100: 8 8/15 ≈ 853.33%.

See Also