What is 10 and 5/2 as a Decimal?

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What is 10 5/2 as a decimal?

Answer

Fraction 10 5/2 as a decimal is
12.5

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

10 5/2: whole part, then 5 ÷ 2

5 = 2 × 2 + 1: whole part 10 + 2 = 12, then divide the remainder 1

remainder×10= digit × 2 + new remainderdigit
1105 × 2 + 05

The remainder reaches 0 after 1 step → 0.5 ends.

12 + 0.5 = 12.5

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Fraction to Decimal Conversion Table

FractionDecimal
10 5/212.5
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 5/2 as a decimal?

Fraction 10 5/2 as a decimal is 12.5

How do you convert 10 5/2 to a decimal?

To convert 10 5/2 to a decimal, divide the numerator by the denominator, 5 ÷ 2 = 2.5, then add the whole part: 10 + 2.5 = 12.5.

Why is 10 5/2 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: 10 5/2 = 12.5.

What is 10 5/2 as a percent?

Multiply by 100: 10 5/2 = 1,250%.

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