What is 5 and 5/17 as a Decimal?

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What is 5 5/17 as a decimal?

Answer

Fraction 5 5/17 as a decimal is
5.2941176470588235

≈ 5.29 to hundredths

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

5 5/17: whole part, then 5 ÷ 17

Whole part 5 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.

5 + 0.2941176470588235 = 5.2941176470588235

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Fraction to Decimal Conversion Table

FractionDecimal
5 5/65.83
5 5/85.625
5 5/95.5
5 5/105.5
5 5/115.45
5 5/125.416
5 5/155.3
5 5/165.3125
5 5/175.2941176470588235
5 5/185.27
5 5/195.263157894736842105
5 5/205.25

FAQ

What is 5 5/17 as a decimal?

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

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

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

Why is 5 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 5 5/17 as a percent?

Multiply by 100: 5 5/17 ≈ 529.41%.

See Also