What is 5 and 3/4 as a Decimal?

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What is 5 3/4 as a decimal?

Answer

Fraction 5 3/4 as a decimal is
5.75

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

5 3/4: whole part, then 3 ÷ 4

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

remainder×10= digit × 4 + new remainderdigit
3307 × 4 + 27
2205 × 4 + 05

The remainder reaches 0 after 2 steps → 0.75 ends.

5 + 0.75 = 5.75

See Also

Fraction to Decimal Conversion Table

FAQ

What is 5 3/4 as a decimal?

Fraction 5 3/4 as a decimal is 5.75

How do you convert 5 3/4 to a decimal?

To convert 5 3/4 to a decimal, divide the numerator by the denominator, 3 ÷ 4 = 0.75, then add the whole part: 5 + 0.75 = 5.75.

Why is 5 3/4 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 3/4 = 5.75.

What is 5 3/4 as a percent?

Multiply by 100: 5 3/4 = 575%.