What is 10 and 5/20 as a Decimal?

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What is 10 5/20 as a decimal?

Answer

Fraction 10 5/20 as a decimal is
10.25

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

10 5/20: whole part, then 5 ÷ 20

Whole part 10 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.

10 + 0.25 = 10.25

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Fraction to Decimal Conversion Table

FractionDecimal
10 5/610.83
10 5/710.714285
10 5/810.625
10 5/910.5
10 5/1010.5
10 5/1110.45
10 5/1210.416
10 5/1310.384615
10 5/1610.3125
10 5/1810.27
10 5/1910.263157894736842105
10 5/2010.25

FAQ

What is 10 5/20 as a decimal?

Fraction 10 5/20 as a decimal is 10.25

How do you convert 10 5/20 to a decimal?

To convert 10 5/20 to a decimal, divide the numerator by the denominator, 5 ÷ 20 = 0.25, then add the whole part: 10 + 0.25 = 10.25.

Why is 10 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: 10 5/20 = 10.25.

What is 10 5/20 as a percent?

Multiply by 100: 10 5/20 = 1,025%.

See Also