What is 2 and 4/6 as a Decimal?

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What is 2 4/6 as a decimal?

Answer

Fraction 2 4/6 as a decimal is
2.6

≈ 2.67 to hundredths

Repeating decimal: 4/6 = 2/3 · denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever

2 4/6: whole part, then 4 ÷ 6

Whole part 2 stays in front; divide the fraction part:

remainder×10= digit × 6 + new remainderdigit
4406 × 6 + 46

Remainder 4 is back after the 1st division → the digit 6 repeats forever: 0.6.

2 + 0.6 = 2.6

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Fraction to Decimal Conversion Table

FractionDecimal
2 4/52.8
2 4/62.6
2 4/72.571428
2 4/82.5
2 4/92.4
2 4/102.4
2 4/112.36
2 4/132.307692
2 4/152.26
2 4/162.25
2 4/172.2352941176470588
2 4/192.210526315789473684
2 4/202.2

FAQ

What is 2 4/6 as a decimal?

Fraction 2 4/6 as a decimal is 2.(6)

How do you convert 2 4/6 to a decimal?

To convert 2 4/6 to a decimal, divide the numerator by the denominator, 4 ÷ 6 = 0.(6), then add the whole part: 2 + 0.(6) = 2.(6).

Why is 2 4/6 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 2 4/6 as a percent?

Multiply by 100: 2 4/6 ≈ 266.67%.

See Also