What is 5 and 3/8 as a Decimal?

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What is 5 3/8 as a decimal?

Answer

Fraction 5 3/8 as a decimal is
5.375

Exact, terminating: denominator 8 = 2 × 2 × 2 has only 2s and 5s · 3 decimal places

5 3/8: whole part, then 3 ÷ 8

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

remainder×10= digit × 8 + new remainderdigit
3303 × 8 + 63
6607 × 8 + 47
4405 × 8 + 05

The remainder reaches 0 after 3 steps → 0.375 ends.

5 + 0.375 = 5.375

See Also

Fraction to Decimal Conversion Table

FAQ

What is 5 3/8 as a decimal?

Fraction 5 3/8 as a decimal is 5.375

How do you convert 5 3/8 to a decimal?

To convert 5 3/8 to a decimal, divide the numerator by the denominator, 3 ÷ 8 = 0.375, then add the whole part: 5 + 0.375 = 5.375.

Why is 5 3/8 a terminating decimal?

In lowest terms its denominator 8 = 2 × 2 × 2 has no prime factors other than 2 and 5, so the division ends after 3 decimal places: 5 3/8 = 5.375.

What is 5 3/8 as a percent?

Multiply by 100: 5 3/8 = 537.5%.