What is 5 and 1/17 as a Decimal?

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What is 5 1/17 as a decimal?

Answer

Fraction 5 1/17 as a decimal is
5.0588235294117647

≈ 5.06 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 0588235294117647 — 16 digits repeat forever

5 1/17: whole part, then 1 ÷ 17

Whole part 5 stays in front; divide the fraction part:

remainder×10= digit × 17 + new remainderdigit
1100 × 17 + 100
101005 × 17 + 155
151508 × 17 + 148
… 11 more division steps …
8804 × 17 + 124
121207 × 17 + 17

Remainder 1 is back after the 16th division → the 16 digits 0588235294117647 repeat: 0.0588235294117647.

5 + 0.0588235294117647 = 5.0588235294117647

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
5 1/25.5
5 1/35.3
5 1/45.25
5 1/55.2
5 1/65.16
5 1/75.142857
5 1/85.125
5 1/95.1
5 1/105.1
5 1/115.09
5 1/125.083
5 1/145.0714285
5 1/155.06
5 1/165.0625
5 1/175.0588235294117647
5 1/185.05
5 1/205.05

FAQ

What is 5 1/17 as a decimal?

Fraction 5 1/17 as a decimal is 5.(0588235294117647)

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

To convert 5 1/17 to a decimal, divide the numerator by the denominator, 1 ÷ 17 = 0.(0588235294117647), then add the whole part: 5 + 0.(0588235294117647) = 5.(0588235294117647).

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

Multiply by 100: 5 1/17 ≈ 505.88%.

See Also