What is 20/21 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 20/21 as a decimal?

Answer

Fraction 20/21 as a decimal is
0.952380

≈ 0.95 to hundredths

Repeating decimal: denominator 21 = 3 × 7 has the factor 3, 7, not 2 or 5 · the bar marks the period 952380 — 6 digits repeat forever

20 ÷ 21 by long division

remainder×10= digit × 21 + new remainderdigit
202009 × 21 + 119
111105 × 21 + 55
5502 × 21 + 82
8803 × 21 + 173
171708 × 21 + 28
2200 × 21 + 200

Remainder 20 is back after the 6th division → the 6 digits 952380 repeat: 0.952380.

See Also

Fraction to Decimal Conversion Table

FractionDecimal
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
20/320.625
20/330.60
20/340.5882352941176470
20/350.571428

FAQ

What is 20/21 as a decimal?

Fraction 20/21 as a decimal is 0.(952380)

How do you convert 20/21 to a decimal?

To convert 20/21 to a decimal, divide the numerator by the denominator: 20 ÷ 21 = 0.(952380).

Why is 20/21 a repeating decimal?

In lowest terms its denominator 21 = 3 × 7 has the prime factor 3, 7, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 20/21 as a percent?

Multiply by 100: 20/21 ≈ 95.24%.