What is 1 and 2/3 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 1 2/3 as a decimal?

Answer

Fraction 1 2/3 as a decimal is
1.6

≈ 1.67 to hundredths

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

1 2/3: whole part, then 2 ÷ 3

Whole part 1 stays in front; divide the fraction part:

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

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

1 + 0.6 = 1.6

See Also

Fraction to Decimal Conversion Table

FractionDecimal
1 2/31.6
1 2/41.5
1 2/51.4
1 2/61.3
1 2/71.285714
1 2/81.25
1 2/91.2
1 2/101.2
1 2/111.18
1 2/121.16
1 2/131.153846
1 2/141.142857
1 2/151.13
1 2/161.125
1 2/171.1176470588235294
1 2/191.105263157894736842
1 2/201.1

FAQ

What is 1 2/3 as a decimal?

Fraction 1 2/3 as a decimal is 1.(6)

How do you convert 1 2/3 to a decimal?

To convert 1 2/3 to a decimal, divide the numerator by the denominator, 2 ÷ 3 = 0.(6), then add the whole part: 1 + 0.(6) = 1.(6).

Why is 1 2/3 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 1 2/3 as a percent?

Multiply by 100: 1 2/3 ≈ 166.67%.