What is 8 and 7/20 as a Decimal?

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What is 8 7/20 as a decimal?

Answer

Fraction 8 7/20 as a decimal is
8.35

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

8 7/20: whole part, then 7 ÷ 20

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

remainder×10= digit × 20 + new remainderdigit
7703 × 20 + 103
101005 × 20 + 05

The remainder reaches 0 after 2 steps → 0.35 ends.

8 + 0.35 = 8.35

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 7/20 as a decimal?

Fraction 8 7/20 as a decimal is 8.35

How do you convert 8 7/20 to a decimal?

To convert 8 7/20 to a decimal, divide the numerator by the denominator, 7 ÷ 20 = 0.35, then add the whole part: 8 + 0.35 = 8.35.

Why is 8 7/20 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: 8 7/20 = 8.35.

What is 8 7/20 as a percent?

Multiply by 100: 8 7/20 = 835%.