What is 7 and 2/9 as a Decimal?

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What is 7 2/9 as a decimal?

Answer

Fraction 7 2/9 as a decimal is
7.2

≈ 7.22 to hundredths

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

7 2/9: whole part, then 2 ÷ 9

Whole part 7 stays in front; divide the fraction part:

remainder×10= digit × 9 + new remainderdigit
2202 × 9 + 22

Remainder 2 is back after the 1st division → the digit 2 repeats forever: 0.2.

7 + 0.2 = 7.2

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
7 2/37.6
7 2/47.5
7 2/57.4
7 2/67.3
7 2/77.285714
7 2/87.25
7 2/97.2
7 2/107.2
7 2/117.18
7 2/127.16
7 2/137.153846
7 2/147.142857
7 2/157.13
7 2/167.125
7 2/177.1176470588235294
7 2/187.1
7 2/197.105263157894736842
7 2/207.1
7 2/217.095238
7 2/227.09
7 2/237.08695652173913…
7 2/247.083
7 2/257.08
7 2/267.076923
7 2/277.074
7 2/287.0714285
7 2/297.06896551724137…
7 2/307.06

FAQ

What is 7 2/9 as a decimal?

Fraction 7 2/9 as a decimal is 7.(2)

How do you convert 7 2/9 to a decimal?

To convert 7 2/9 to a decimal, divide the numerator by the denominator, 2 ÷ 9 = 0.(2), then add the whole part: 7 + 0.(2) = 7.(2).

Why is 7 2/9 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 7 2/9 as a percent?

Multiply by 100: 7 2/9 ≈ 722.22%.

See Also