What is 3 and 4/5 as a Decimal?

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What is 3 4/5 as a decimal?

Answer

Fraction 3 4/5 as a decimal is
3.8

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

3 4/5: whole part, then 4 ÷ 5

Whole part 3 stays in front; divide the fraction part:

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

The remainder reaches 0 after 1 step → 0.8 ends.

3 + 0.8 = 3.8

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Fraction to Decimal Conversion Table

FractionDecimal
3 4/53.8
3 4/63.6
3 4/73.571428
3 4/83.5
3 4/93.4
3 4/103.4
3 4/113.36
3 4/123.3
3 4/133.307692
3 4/153.26
3 4/163.25
3 4/173.2352941176470588
3 4/203.2
3 4/253.16

FAQ

What is 3 4/5 as a decimal?

Fraction 3 4/5 as a decimal is 3.8

How do you convert 3 4/5 to a decimal?

To convert 3 4/5 to a decimal, divide the numerator by the denominator, 4 ÷ 5 = 0.8, then add the whole part: 3 + 0.8 = 3.8.

Why is 3 4/5 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: 3 4/5 = 3.8.

What is 3 4/5 as a percent?

Multiply by 100: 3 4/5 = 380%.

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