What is 7 and 9/20 as a Decimal?

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What is 7 9/20 as a decimal?

Answer

Fraction 7 9/20 as a decimal is
7.45

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

7 9/20: whole part, then 9 ÷ 20

Whole part 7 stays in front; divide the fraction part:

remainder×10= digit × 20 + new remainderdigit
9904 × 20 + 104
101005 × 20 + 05

The remainder reaches 0 after 2 steps → 0.45 ends.

7 + 0.45 = 7.45

See Also

Fraction to Decimal Conversion Table

FractionDecimal
7 9/107.9
7 9/117.81
7 9/127.75
7 9/137.692307
7 9/147.6428571
7 9/167.5625
7 9/177.5294117647058823
7 9/187.5
7 9/197.473684210526315789
7 9/207.45

FAQ

What is 7 9/20 as a decimal?

Fraction 7 9/20 as a decimal is 7.45

How do you convert 7 9/20 to a decimal?

To convert 7 9/20 to a decimal, divide the numerator by the denominator, 9 ÷ 20 = 0.45, then add the whole part: 7 + 0.45 = 7.45.

Why is 7 9/20 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 9/20 = 7.45.

What is 7 9/20 as a percent?

Multiply by 100: 7 9/20 = 745%.