What is 4 and 7/9 as a Decimal?

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What is 4 7/9 as a decimal?

Answer

Fraction 4 7/9 as a decimal is
4.7

≈ 4.78 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 7 — it repeats forever

4 7/9: whole part, then 7 ÷ 9

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

remainder×10= digit × 9 + new remainderdigit
7707 × 9 + 77

Remainder 7 is back after the 1st division → the digit 7 repeats forever: 0.7.

4 + 0.7 = 4.7

See Also

Fraction to Decimal Conversion Table

FractionDecimal
4 7/84.875
4 7/94.7
4 7/104.7
4 7/114.63
4 7/124.583
4 7/134.538461
4 7/144.5
4 7/154.46
4 7/164.4375
4 7/194.368421052631578947
4 7/204.35

FAQ

What is 4 7/9 as a decimal?

Fraction 4 7/9 as a decimal is 4.(7)

How do you convert 4 7/9 to a decimal?

To convert 4 7/9 to a decimal, divide the numerator by the denominator, 7 ÷ 9 = 0.(7), then add the whole part: 4 + 0.(7) = 4.(7).

Why is 4 7/9 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 7/9 as a percent?

Multiply by 100: 4 7/9 ≈ 477.78%.