What is 5 and 9/20 as a Decimal?

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What is 5 9/20 as a decimal?

Answer

Fraction 5 9/20 as a decimal is
5.45

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

5 9/20: whole part, then 9 ÷ 20

Whole part 5 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.

5 + 0.45 = 5.45

See Also

Fraction to Decimal Conversion Table

FractionDecimal
5 9/105.9
5 9/115.81
5 9/135.692307
5 9/145.6428571
5 9/155.6
5 9/165.5625
5 9/185.5
5 9/195.473684210526315789
5 9/205.45
5 9/505.18

FAQ

What is 5 9/20 as a decimal?

Fraction 5 9/20 as a decimal is 5.45

How do you convert 5 9/20 to a decimal?

To convert 5 9/20 to a decimal, divide the numerator by the denominator, 9 ÷ 20 = 0.45, then add the whole part: 5 + 0.45 = 5.45.

Why is 5 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: 5 9/20 = 5.45.

What is 5 9/20 as a percent?

Multiply by 100: 5 9/20 = 545%.