What is 4 and 4/20 as a Decimal?

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What is 4 4/20 as a decimal?

Answer

Fraction 4 4/20 as a decimal is
4.2

Exact, terminating: 4/20 = 1/5 · denominator 5 has only 2s and 5s · 1 decimal place

4 4/20: whole part, then 4 ÷ 20

Whole part 4 stays in front; divide the fraction part:

remainder×10= digit × 20 + new remainderdigit
4402 × 20 + 02

The remainder reaches 0 after 1 step → 0.2 ends.

4 + 0.2 = 4.2

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Fraction to Decimal Conversion Table

FractionDecimal
4 4/54.8
4 4/64.6
4 4/74.571428
4 4/84.5
4 4/94.4
4 4/104.4
4 4/114.36
4 4/124.3
4 4/134.307692
4 4/144.285714
4 4/154.26
4 4/164.25
4 4/174.2352941176470588
4 4/184.2
4 4/204.2

FAQ

What is 4 4/20 as a decimal?

Fraction 4 4/20 as a decimal is 4.2

How do you convert 4 4/20 to a decimal?

To convert 4 4/20 to a decimal, divide the numerator by the denominator, 4 ÷ 20 = 0.2, then add the whole part: 4 + 0.2 = 4.2.

Why is 4 4/20 a terminating decimal?

In lowest terms its denominator 5 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 4 4/20 = 4.2.

What is 4 4/20 as a percent?

Multiply by 100: 4 4/20 = 420%.

See Also