What is 5 and 3/12 as a Decimal?

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What is 5 3/12 as a decimal?

Answer

Fraction 5 3/12 as a decimal is
5.25

Exact, terminating: 3/12 = 1/4 · denominator 4 = 2 × 2 has only 2s and 5s · 2 decimal places

5 3/12: whole part, then 3 ÷ 12

Whole part 5 stays in front; divide the fraction part:

remainder×10= digit × 12 + new remainderdigit
3302 × 12 + 62
6605 × 12 + 05

The remainder reaches 0 after 2 steps → 0.25 ends.

5 + 0.25 = 5.25

See Also

Fraction to Decimal Conversion Table

FAQ

What is 5 3/12 as a decimal?

Fraction 5 3/12 as a decimal is 5.25

How do you convert 5 3/12 to a decimal?

To convert 5 3/12 to a decimal, divide the numerator by the denominator, 3 ÷ 12 = 0.25, then add the whole part: 5 + 0.25 = 5.25.

Why is 5 3/12 a terminating decimal?

In lowest terms its denominator 4 = 2 × 2 has no prime factors other than 2 and 5, so the division ends after 2 decimal places: 5 3/12 = 5.25.

What is 5 3/12 as a percent?

Multiply by 100: 5 3/12 = 525%.