What is 1 and 8/17 as a Decimal?

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What is 1 8/17 as a decimal?

Answer

Fraction 1 8/17 as a decimal is
1.4705882352941176

≈ 1.47 to hundredths

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

1 8/17: whole part, then 8 ÷ 17

Whole part 1 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.

1 + 0.4705882352941176 = 1.4705882352941176

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Fraction to Decimal Conversion Table

FractionDecimal
1 8/91.8
1 8/101.8
1 8/111.72
1 8/121.6
1 8/141.571428
1 8/151.53
1 8/161.5
1 8/171.4705882352941176
1 8/181.4
1 8/201.4

FAQ

What is 1 8/17 as a decimal?

Fraction 1 8/17 as a decimal is 1.(4705882352941176)

How do you convert 1 8/17 to a decimal?

To convert 1 8/17 to a decimal, divide the numerator by the denominator, 8 ÷ 17 = 0.(4705882352941176), then add the whole part: 1 + 0.(4705882352941176) = 1.(4705882352941176).

Why is 1 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 1 8/17 as a percent?

Multiply by 100: 1 8/17 ≈ 147.06%.

See Also