What is 6 and 7/20 as a Decimal?

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What is 6 7/20 as a decimal?

Answer

Fraction 6 7/20 as a decimal is
6.35

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

6 7/20: whole part, then 7 ÷ 20

Whole part 6 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.

6 + 0.35 = 6.35

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Fraction to Decimal Conversion Table

FractionDecimal
6 7/86.875
6 7/96.7
6 7/106.7
6 7/116.63
6 7/126.583
6 7/146.5
6 7/156.46
6 7/166.4375
6 7/176.4117647058823529
6 7/186.38
6 7/206.35

FAQ

What is 6 7/20 as a decimal?

Fraction 6 7/20 as a decimal is 6.35

How do you convert 6 7/20 to a decimal?

To convert 6 7/20 to a decimal, divide the numerator by the denominator, 7 ÷ 20 = 0.35, then add the whole part: 6 + 0.35 = 6.35.

Why is 6 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: 6 7/20 = 6.35.

What is 6 7/20 as a percent?

Multiply by 100: 6 7/20 = 635%.

See Also