What is 7 and 7/20 as a Decimal?

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What is 7 7/20 as a decimal?

Answer

Fraction 7 7/20 as a decimal is
7.35

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

7 7/20: whole part, then 7 ÷ 20

Whole part 7 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.

7 + 0.35 = 7.35

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Fraction to Decimal Conversion Table

FractionDecimal
7 7/87.875
7 7/97.7
7 7/107.7
7 7/117.63
7 7/127.583
7 7/157.46
7 7/167.4375
7 7/187.38
7 7/197.368421052631578947
7 7/207.35

FAQ

What is 7 7/20 as a decimal?

Fraction 7 7/20 as a decimal is 7.35

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

To convert 7 7/20 to a decimal, divide the numerator by the denominator, 7 ÷ 20 = 0.35, then add the whole part: 7 + 0.35 = 7.35.

Why is 7 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: 7 7/20 = 7.35.

What is 7 7/20 as a percent?

Multiply by 100: 7 7/20 = 735%.

See Also