What is 7 and 2/5 as a Decimal?

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What is 7 2/5 as a decimal?

Answer

Fraction 7 2/5 as a decimal is
7.4

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

7 2/5: whole part, then 2 ÷ 5

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

remainder×10= digit × 5 + new remainderdigit
2204 × 5 + 04

The remainder reaches 0 after 1 step → 0.4 ends.

7 + 0.4 = 7.4

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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 2/147.142857
7 2/157.13
7 2/167.125
7 2/177.1176470588235294
7 2/187.1
7 2/197.105263157894736842
7 2/207.1
7 2/217.095238
7 2/227.09
7 2/237.08695652173913…
7 2/247.083
7 2/257.08
7 2/267.076923
7 2/277.074
7 2/287.0714285
7 2/297.06896551724137…
7 2/307.06

FAQ

What is 7 2/5 as a decimal?

Fraction 7 2/5 as a decimal is 7.4

How do you convert 7 2/5 to a decimal?

To convert 7 2/5 to a decimal, divide the numerator by the denominator, 2 ÷ 5 = 0.4, then add the whole part: 7 + 0.4 = 7.4.

Why is 7 2/5 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: 7 2/5 = 7.4.

What is 7 2/5 as a percent?

Multiply by 100: 7 2/5 = 740%.

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