What is 9 and 8/17 as a Decimal?

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Fraction to convert

What is 9 8/17 as a decimal?

Answer

Fraction 9 8/17 as a decimal is
9.4705882352941176

≈ 9.47 to hundredths

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

9 8/17: whole part, then 8 ÷ 17

Whole part 9 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.

9 + 0.4705882352941176 = 9.4705882352941176

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Fraction to Decimal Conversion Table

FractionDecimal
9 8/99.8
9 8/109.8
9 8/119.72
9 8/129.6
9 8/139.615384
9 8/149.571428
9 8/159.53
9 8/169.5
9 8/179.4705882352941176
9 8/189.4
9 8/199.421052631578947368
9 8/209.4
9 8/219.380952
9 8/229.36
9 8/239.34782608695652…
9 8/249.3
9 8/259.32
9 8/269.307692
9 8/279.296
9 8/289.285714
9 8/299.27586206896551…
9 8/309.26
9 8/319.258064516129032

FAQ

What is 9 8/17 as a decimal?

Fraction 9 8/17 as a decimal is 9.(4705882352941176)

How do you convert 9 8/17 to a decimal?

To convert 9 8/17 to a decimal, divide the numerator by the denominator, 8 ÷ 17 = 0.(4705882352941176), then add the whole part: 9 + 0.(4705882352941176) = 9.(4705882352941176).

Why is 9 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 9 8/17 as a percent?

Multiply by 100: 9 8/17 ≈ 947.06%.

See Also