What is 2 and 9/5 as a Decimal?

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What is 2 9/5 as a decimal?

Answer

Fraction 2 9/5 as a decimal is
3.8

Exact, terminating: denominator 5 has only 2s and 5s · 1 decimal place

2 9/5: whole part, then 9 ÷ 5

9 = 1 × 5 + 4: whole part 2 + 1 = 3, then divide the remainder 4

remainder×10= digit × 5 + new remainderdigit
4408 × 5 + 08

The remainder reaches 0 after 1 step → 0.8 ends.

3 + 0.8 = 3.8

See Also

Fraction to Decimal Conversion Table

FractionDecimal
2 9/53.8
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 9/5 as a decimal?

Fraction 2 9/5 as a decimal is 3.8

How do you convert 2 9/5 to a decimal?

To convert 2 9/5 to a decimal, divide the numerator by the denominator, 9 ÷ 5 = 1.8, then add the whole part: 2 + 1.8 = 3.8.

Why is 2 9/5 a terminating decimal?

In lowest terms its denominator 5 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 2 9/5 = 3.8.

What is 2 9/5 as a percent?

Multiply by 100: 2 9/5 = 380%.