What is 2 and 7/20 as a Decimal?

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What is 2 7/20 as a decimal?

Answer

Fraction 2 7/20 as a decimal is
2.35

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

2 7/20: whole part, then 7 ÷ 20

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

remainder×10= digit × 20 + new remainderdigit
7703 × 20 + 103
101005 × 20 + 05

The remainder reaches 0 after 2 steps → 0.35 ends.

2 + 0.35 = 2.35

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Fraction to Decimal Conversion Table

FractionDecimal
2 7/82.875
2 7/92.7
2 7/102.7
2 7/112.63
2 7/122.583
2 7/132.538461
2 7/142.5
2 7/152.46
2 7/162.4375
2 7/182.38
2 7/192.368421052631578947
2 7/202.35

FAQ

What is 2 7/20 as a decimal?

Fraction 2 7/20 as a decimal is 2.35

How do you convert 2 7/20 to a decimal?

To convert 2 7/20 to a decimal, divide the numerator by the denominator, 7 ÷ 20 = 0.35, then add the whole part: 2 + 0.35 = 2.35.

Why is 2 7/20 a terminating decimal?

In lowest terms its denominator 20 = 2 × 2 × 5 has no prime factors other than 2 and 5, so the division ends after 2 decimal places: 2 7/20 = 2.35.

What is 2 7/20 as a percent?

Multiply by 100: 2 7/20 = 235%.

See Also