What is 5 and 7/20 as a Decimal?

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What is 5 7/20 as a decimal?

Answer

Fraction 5 7/20 as a decimal is
5.35

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

5 7/20: whole part, then 7 ÷ 20

Whole part 5 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.

5 + 0.35 = 5.35

See Also

Fraction to Decimal Conversion Table

FractionDecimal
5 7/85.875
5 7/95.7
5 7/105.7
5 7/125.583
5 7/135.538461
5 7/145.5
5 7/155.46
5 7/165.4375
5 7/195.368421052631578947
5 7/205.35
5 7/1005.07

FAQ

What is 5 7/20 as a decimal?

Fraction 5 7/20 as a decimal is 5.35

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

To convert 5 7/20 to a decimal, divide the numerator by the denominator, 7 ÷ 20 = 0.35, then add the whole part: 5 + 0.35 = 5.35.

Why is 5 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: 5 7/20 = 5.35.

What is 5 7/20 as a percent?

Multiply by 100: 5 7/20 = 535%.