What is 1 and 5/17 as a Decimal?

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What is 1 5/17 as a decimal?

Answer

Fraction 1 5/17 as a decimal is
1.2941176470588235

≈ 1.29 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 2941176470588235 — 16 digits repeat forever

1 5/17: whole part, then 5 ÷ 17

Whole part 1 stays in front; divide the fraction part:

remainder×10= digit × 17 + new remainderdigit
5502 × 17 + 162
161609 × 17 + 79
7704 × 17 + 24
… 11 more division steps …
6603 × 17 + 93
9905 × 17 + 55

Remainder 5 is back after the 16th division → the 16 digits 2941176470588235 repeat: 0.2941176470588235.

1 + 0.2941176470588235 = 1.2941176470588235

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1 5/61.83
1 5/71.714285
1 5/81.625
1 5/91.5
1 5/101.5
1 5/111.45
1 5/121.416
1 5/131.384615
1 5/141.3571428
1 5/151.3
1 5/161.3125
1 5/171.2941176470588235
1 5/181.27
1 5/191.263157894736842105
1 5/201.25

FAQ

What is 1 5/17 as a decimal?

Fraction 1 5/17 as a decimal is 1.(2941176470588235)

How do you convert 1 5/17 to a decimal?

To convert 1 5/17 to a decimal, divide the numerator by the denominator, 5 ÷ 17 = 0.(2941176470588235), then add the whole part: 1 + 0.(2941176470588235) = 1.(2941176470588235).

Why is 1 5/17 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 5/17 as a percent?

Multiply by 100: 1 5/17 ≈ 129.41%.

See Also