Q&A for How to Convert Percents, Fractions, and Decimals

"27 over 56" is already a fraction: 27/56.

3½ = 3.5.

62.5 (or the mixed number 62½) is the equivalent of the improper fraction 625/10, which reduces to 125/2. 125 ÷ 2 = 62.5.

9% of 300 is 27. If you insist on a fraction, it's 27/1.

Multiply the whole number by the denominator, and add the numerator. That makes the new numerator. The denominator doesn't change. So in this case, multiply 82 by 4, and add 3. That's the numerator. The denominator is 4.

This would work only with multiples of 4 (such as 8). With 7, you would have to round off to the nearest whole number, such as 2 and 5.

First express the fraction as a decimal. Then divide the decimal by 100, and place a percent mark to the right. For example, if you want to convert ¼% to a decimal, express the fraction ¼ as the decimal .25. Divide the decimal by 100, which is .0025. Your result is .0025%.

Divide 78.75 by 250. That equals 0.315, which is the same as 31.5%.

36% = 0.36. It is also equivalent to 36/100, which reduces to 9/25.

18 ÷ 82 = 0.2195, which rounds off to 0.22. That's the equivalent of 22/100 or 22%.

Divide 34.00 by 45.

It is exactly 1/3.

33 1/3% is equivalent to 33.33/100, which is exactly 1/3.

Divide the top (or first) number by the bottom (or second) number. Multiply that quotient by 100, and insert a % sign on the right.

3.5% = 3.5/100 = 35/1,000.

2 can be expressed as 2/1, or 4/2, or 6/3, etc. 2 does not have an equivalent percentage.

Method 2 above explains how.

0.15625.

If you're asking about 5.8 with a bar (or "overline") above the 8, that means 5.888888... with an infinitely repeating 8. In fractional terms, you could transform the decimal to 888/1,000, which reduces to 111/125, which reduces approximately to 22/25. So 5.888... is 5 111/125, or approximately 5 22/25.

Set up this equation: 17/40 = x/100. Cross-multiply to find x: 40x = 1700, and x = 1700 / 40 = 42.5. Now substitute 42.5 for x in the first equation: 17/40 = 42.5 / 100 = 0.425 = 42.5%. 17 is 42.5% of 40.

6 2/3% = 0.0667 = 667/10,000 or roughly 67/1,000.

To compare, first you have to convert them both to the same type of number (decimal/fraction/percentage). 3/12 when simplified equals to 1/4. 1/4 equals 25/100 which is 25%. So, 25%.

12.5% is 12.5/100 or 1/8. As a decimal it is 0.125.

3/100 = 0.03 = 3%.