What is 7 and 2/4 as a Decimal?

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What is 7 2/4 as a decimal?

Answer

Fraction 7 2/4 as a decimal is
7.5

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

7 2/4: whole part, then 2 ÷ 4

Whole part 7 stays in front; divide the fraction part:

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

The remainder reaches 0 after 1 step → 0.5 ends.

7 + 0.5 = 7.5

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Fraction to Decimal Conversion Table

FractionDecimal
7 2/37.6
7 2/47.5
7 2/57.4
7 2/67.3
7 2/77.285714
7 2/87.25
7 2/97.2
7 2/107.2
7 2/117.18
7 2/127.16
7 2/137.153846
7 2/157.13
7 2/177.1176470588235294
7 2/207.1

FAQ

What is 7 2/4 as a decimal?

Fraction 7 2/4 as a decimal is 7.5

How do you convert 7 2/4 to a decimal?

To convert 7 2/4 to a decimal, divide the numerator by the denominator, 2 ÷ 4 = 0.5, then add the whole part: 7 + 0.5 = 7.5.

Why is 7 2/4 a terminating decimal?

In lowest terms its denominator 2 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 7 2/4 = 7.5.

What is 7 2/4 as a percent?

Multiply by 100: 7 2/4 = 750%.

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