What is 2 and 8/17 as a Decimal?

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What is 2 8/17 as a decimal?

Answer

Fraction 2 8/17 as a decimal is
2.4705882352941176

≈ 2.47 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 4705882352941176 — 16 digits repeat forever

2 8/17: whole part, then 8 ÷ 17

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

remainder×10= digit × 17 + new remainderdigit
8804 × 17 + 124
121207 × 17 + 17
1100 × 17 + 100
… 11 more division steps …
131307 × 17 + 117
111106 × 17 + 86

Remainder 8 is back after the 16th division → the 16 digits 4705882352941176 repeat: 0.4705882352941176.

2 + 0.4705882352941176 = 2.4705882352941176

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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 8/17 as a decimal?

Fraction 2 8/17 as a decimal is 2.(4705882352941176)

How do you convert 2 8/17 to a decimal?

To convert 2 8/17 to a decimal, divide the numerator by the denominator, 8 ÷ 17 = 0.(4705882352941176), then add the whole part: 2 + 0.(4705882352941176) = 2.(4705882352941176).

Why is 2 8/17 a repeating decimal?

In lowest terms its denominator 17 has the prime factor 17, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 2 8/17 as a percent?

Multiply by 100: 2 8/17 ≈ 247.06%.

See Also