What is 7 and 5/20 as a Decimal?

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What is 7 5/20 as a decimal?

Answer

Fraction 7 5/20 as a decimal is
7.25

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

7 5/20: whole part, then 5 ÷ 20

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

remainder×10= digit × 20 + new remainderdigit
5502 × 20 + 102
101005 × 20 + 05

The remainder reaches 0 after 2 steps → 0.25 ends.

7 + 0.25 = 7.25

See Also

Fraction to Decimal Conversion Table

FractionDecimal
7 5/67.83
7 5/77.714285
7 5/87.625
7 5/97.5
7 5/107.5
7 5/117.45
7 5/127.416
7 5/137.384615
7 5/157.3
7 5/167.3125
7 5/177.2941176470588235
7 5/187.27
7 5/197.263157894736842105
7 5/207.25

FAQ

What is 7 5/20 as a decimal?

Fraction 7 5/20 as a decimal is 7.25

How do you convert 7 5/20 to a decimal?

To convert 7 5/20 to a decimal, divide the numerator by the denominator, 5 ÷ 20 = 0.25, then add the whole part: 7 + 0.25 = 7.25.

Why is 7 5/20 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: 7 5/20 = 7.25.

What is 7 5/20 as a percent?

Multiply by 100: 7 5/20 = 725%.