What is 20/3 as a Decimal?

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What is 20/3 as a decimal?

Answer

Fraction 20/3 as a decimal is
6.6

≈ 6.67 to hundredths

Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever

20 ÷ 3 by long division

20 = 6 × 3 + 2: whole part 6, then divide the remainder 2

remainder×10= digit × 3 + new remainderdigit
2206 × 3 + 26

Remainder 2 is back after the 1st division → the digit 6 repeats forever: 0.6.

6 + 0.6 = 6.6

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
20/120
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

FAQ

What is 20/3 as a decimal?

Fraction 20/3 as a decimal is 6.(6)

How do you convert 20/3 to a decimal?

To convert 20/3 to a decimal, divide the numerator by the denominator: 20 ÷ 3 = 6.(6).

Why is 20/3 a repeating decimal?

In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 20/3 as a percent?

Multiply by 100: 20/3 ≈ 666.67%.

See Also