What is 8 and 9/20 as a Decimal?

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What is 8 9/20 as a decimal?

Answer

Fraction 8 9/20 as a decimal is
8.45

Exact, terminating: denominator 20 = 2 × 2 × 5 has only 2s and 5s · 2 decimal places

8 9/20: whole part, then 9 ÷ 20

Whole part 8 stays in front; divide the fraction part:

remainder×10= digit × 20 + new remainderdigit
9904 × 20 + 104
101005 × 20 + 05

The remainder reaches 0 after 2 steps → 0.45 ends.

8 + 0.45 = 8.45

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
8 9/108.9
8 9/118.81
8 9/128.75
8 9/138.692307
8 9/148.6428571
8 9/158.6
8 9/168.5625
8 9/178.5294117647058823
8 9/188.5
8 9/198.473684210526315789
8 9/208.45
8 9/218.428571
8 9/228.409
8 9/238.39130434782608…
8 9/248.375
8 9/258.36
8 9/268.3461538
8 9/278.3
8 9/288.32142857
8 9/298.31034482758620…
8 9/308.3
8 9/318.290322580645161
8 9/328.28125
8 9/338.27
8 9/348.26470588235294117

FAQ

What is 8 9/20 as a decimal?

Fraction 8 9/20 as a decimal is 8.45

How do you convert 8 9/20 to a decimal?

To convert 8 9/20 to a decimal, divide the numerator by the denominator, 9 ÷ 20 = 0.45, then add the whole part: 8 + 0.45 = 8.45.

Why is 8 9/20 a terminating decimal?

In lowest terms its denominator 20 = 2 × 2 × 5 has no prime factors other than 2 and 5, so the division ends after 2 decimal places: 8 9/20 = 8.45.

What is 8 9/20 as a percent?

Multiply by 100: 8 9/20 = 845%.

See Also