What is 4 and 8/9 as a Decimal?

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What is 4 8/9 as a decimal?

Answer

Fraction 4 8/9 as a decimal is
4.8

≈ 4.89 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 8 — it repeats forever

4 8/9: whole part, then 8 ÷ 9

Whole part 4 stays in front; divide the fraction part:

remainder×10= digit × 9 + new remainderdigit
8808 × 9 + 88

Remainder 8 is back after the 1st division → the digit 8 repeats forever: 0.8.

4 + 0.8 = 4.8

See Also

Fraction to Decimal Conversion Table

FractionDecimal
4 8/94.8
4 8/104.8
4 8/114.72
4 8/124.6
4 8/134.615384
4 8/144.571428
4 8/154.53
4 8/164.5
4 8/174.4705882352941176
4 8/184.4
4 8/194.421052631578947368
4 8/204.4
4 8/214.380952
4 8/224.36
4 8/234.34782608695652…
4 8/244.3
4 8/254.32
4 8/264.307692
4 8/274.296
4 8/284.285714
4 8/294.27586206896551…
4 8/304.26

FAQ

What is 4 8/9 as a decimal?

Fraction 4 8/9 as a decimal is 4.(8)

How do you convert 4 8/9 to a decimal?

To convert 4 8/9 to a decimal, divide the numerator by the denominator, 8 ÷ 9 = 0.(8), then add the whole part: 4 + 0.(8) = 4.(8).

Why is 4 8/9 a repeating decimal?

In lowest terms its denominator 9 = 3 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 4 8/9 as a percent?

Multiply by 100: 4 8/9 ≈ 488.89%.