What is 2 and 1/8 as a Decimal?

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What is 2 1/8 as a decimal?

Answer

Fraction 2 1/8 as a decimal is
2.125

Exact, terminating: denominator 8 = 2 × 2 × 2 has only 2s and 5s · 3 decimal places

2 1/8: whole part, then 1 ÷ 8

Whole part 2 stays in front; divide the fraction part:

remainder×10= digit × 8 + new remainderdigit
1101 × 8 + 21
2202 × 8 + 42
4405 × 8 + 05

The remainder reaches 0 after 3 steps → 0.125 ends.

2 + 0.125 = 2.125

See Also

Fraction to Decimal Conversion Table

FractionDecimal
2 1/22.5
2 1/32.3
2 1/42.25
2 1/52.2
2 1/62.16
2 1/72.142857
2 1/82.125
2 1/92.1
2 1/102.1
2 1/112.09
2 1/122.083
2 1/132.076923
2 1/142.0714285
2 1/152.06
2 1/162.0625
2 1/182.05
2 1/192.052631578947368421
2 1/202.05

FAQ

What is 2 1/8 as a decimal?

Fraction 2 1/8 as a decimal is 2.125

How do you convert 2 1/8 to a decimal?

To convert 2 1/8 to a decimal, divide the numerator by the denominator, 1 ÷ 8 = 0.125, then add the whole part: 2 + 0.125 = 2.125.

Why is 2 1/8 a terminating decimal?

In lowest terms its denominator 8 = 2 × 2 × 2 has no prime factors other than 2 and 5, so the division ends after 3 decimal places: 2 1/8 = 2.125.

What is 2 1/8 as a percent?

Multiply by 100: 2 1/8 = 212.5%.