What is 5 and 8/5 as a Decimal?

Fraction to Decimal Converter
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What is 5 8/5 as a decimal?

Answer

Fraction 5 8/5 as a decimal is
6.6

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

5 8/5: whole part, then 8 ÷ 5

8 = 1 × 5 + 3: whole part 5 + 1 = 6, then divide the remainder 3

remainder×10= digit × 5 + new remainderdigit
3306 × 5 + 06

The remainder reaches 0 after 1 step → 0.6 ends.

6 + 0.6 = 6.6

See Also

Fraction to Decimal Conversion Table

FractionDecimal
5 8/56.6
5 8/95.8
5 8/105.8
5 8/115.72
5 8/125.6
5 8/135.615384
5 8/155.53
5 8/165.5

FAQ

What is 5 8/5 as a decimal?

Fraction 5 8/5 as a decimal is 6.6

How do you convert 5 8/5 to a decimal?

To convert 5 8/5 to a decimal, divide the numerator by the denominator, 8 ÷ 5 = 1.6, then add the whole part: 5 + 1.6 = 6.6.

Why is 5 8/5 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: 5 8/5 = 6.6.

What is 5 8/5 as a percent?

Multiply by 100: 5 8/5 = 660%.