What is 20/17 as a Decimal?

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What is 20/17 as a decimal?

Answer

Fraction 20/17 as a decimal is
1.1764705882352941

≈ 1.18 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 1764705882352941 — 16 digits repeat forever

20 ÷ 17 by long division

20 = 1 × 17 + 3: whole part 1, then divide the remainder 3

remainder×10= digit × 17 + new remainderdigit
3301 × 17 + 131
131307 × 17 + 117
111106 × 17 + 86
… 11 more division steps …
7704 × 17 + 24
2201 × 17 + 31

Remainder 3 is back after the 16th division → the 16 digits 1764705882352941 repeat: 0.1764705882352941.

1 + 0.1764705882352941 = 1.1764705882352941

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
20/210
20/36.6
20/45
20/54
20/63.3
20/72.857142
20/82.5
20/92.2
20/102
20/111.81
20/121.6
20/131.538461
20/141.428571
20/151.3
20/161.25
20/171.1764705882352941
20/181.1
20/191.052631578947368421
20/201
20/210.952380
20/220.90
20/230.86956521739130…
20/240.83
20/250.8
20/260.769230
20/270.740
20/280.714285
20/290.68965517241379…
20/300.6
20/310.645161290322580

FAQ

What is 20/17 as a decimal?

Fraction 20/17 as a decimal is 1.(1764705882352941)

How do you convert 20/17 to a decimal?

To convert 20/17 to a decimal, divide the numerator by the denominator: 20 ÷ 17 = 1.(1764705882352941).

Why is 20/17 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 20/17 as a percent?

Multiply by 100: 20/17 ≈ 117.65%.

See Also