What is 2 and 9/20 as a Decimal?

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What is 2 9/20 as a decimal?

Answer

Fraction 2 9/20 as a decimal is
2.45

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

2 9/20: whole part, then 9 ÷ 20

Whole part 2 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.

2 + 0.45 = 2.45

See Also

Fraction to Decimal Conversion Table

FractionDecimal
2 9/102.9
2 9/122.75
2 9/132.692307
2 9/142.6428571
2 9/152.6
2 9/162.5625
2 9/172.5294117647058823
2 9/182.5
2 9/202.45

FAQ

What is 2 9/20 as a decimal?

Fraction 2 9/20 as a decimal is 2.45

How do you convert 2 9/20 to a decimal?

To convert 2 9/20 to a decimal, divide the numerator by the denominator, 9 ÷ 20 = 0.45, then add the whole part: 2 + 0.45 = 2.45.

Why is 2 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: 2 9/20 = 2.45.

What is 2 9/20 as a percent?

Multiply by 100: 2 9/20 = 245%.