What is 9 and 7/9 as a Decimal?

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What is 9 7/9 as a decimal?

Answer

Fraction 9 7/9 as a decimal is
9.7

≈ 9.78 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

9 7/9: whole part, then 7 ÷ 9

Whole part 9 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.

9 + 0.7 = 9.7

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Fraction to Decimal Conversion Table

FractionDecimal
9 7/89.875
9 7/99.7
9 7/109.7
9 7/119.63
9 7/129.583
9 7/139.538461
9 7/149.5
9 7/159.46
9 7/169.4375
9 7/179.4117647058823529
9 7/189.38
9 7/199.368421052631578947
9 7/209.35
9 7/219.3
9 7/229.318
9 7/239.30434782608695…
9 7/249.2916
9 7/259.28
9 7/269.2692307
9 7/279.259
9 7/289.25
9 7/299.24137931034482…
9 7/309.23

FAQ

What is 9 7/9 as a decimal?

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

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

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

Why is 9 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 9 7/9 as a percent?

Multiply by 100: 9 7/9 ≈ 977.78%.

See Also