What is 8 and 7/15 as a Decimal?

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Fraction to convert

What is 8 7/15 as a decimal?

Answer

Fraction 8 7/15 as a decimal is
8.46

≈ 8.47 to hundredths

Repeating decimal: denominator 15 = 3 × 5 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever

8 7/15: whole part, then 7 ÷ 15

Whole part 8 stays in front; divide the fraction part:

remainder×10= digit × 15 + new remainderdigit
7704 × 15 + 104
101006 × 15 + 106

Remainder 10 repeats from the 2nd digit on → 0.46.

8 + 0.46 = 8.46

See Also

Fraction to Decimal Conversion Table

FractionDecimal
8 7/88.875
8 7/98.7
8 7/108.7
8 7/118.63
8 7/128.583
8 7/138.538461
8 7/158.46
8 7/168.4375
8 7/198.368421052631578947
8 7/208.35

FAQ

What is 8 7/15 as a decimal?

Fraction 8 7/15 as a decimal is 8.4(6)

How do you convert 8 7/15 to a decimal?

To convert 8 7/15 to a decimal, divide the numerator by the denominator, 7 ÷ 15 = 0.4(6), then add the whole part: 8 + 0.4(6) = 8.4(6).

Why is 8 7/15 a repeating decimal?

In lowest terms its denominator 15 = 3 × 5 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 8 7/15 as a percent?

Multiply by 100: 8 7/15 ≈ 846.67%.