Question

Write the percent as a decimal and as a fraction.

215%
A. 2.15; 2 1/20
B. 2.15; 2 3/20
C. 21.5; 21,1/2
D. 21.5; 21, 3/10

Answer 1

To convert 215% to a decimal, divide 215 by 100 to get 2.15. To convert to a fraction, simplify 215/100 to get 43/20, which is equal to the mixed number 2 3/20. The correct answer is B. 2.15; 2 3/20.

Step-by-step explanation:

To convert the percent 215% to a decimal and a fraction, you have to understand that a percent represents a part out of a hundred. So, 215% means 215 out of 100, or 215/100.

Converting to Decimal:

You simply divide the numerator by the denominator: 215 ÷ 100 = 2.15.

Converting to Fraction:

Write the percent as a fraction and simplify 215/100 = 215 ÷ 5/100 ÷ 5, which simplifies to 43/20. To express this as a mixed number, you divide 43 by 20 to get 2 3/20 (2 whole parts and a fraction which is 3/20 of another whole part).

Therefore, the correct answer is B. 2.15; 2 3/20.

Answer 2

The given percent above is 215%. To convert this into decimal, let us divide this by 100. 215 / 100 and we get 2.15. So the decimal form of 215% is 2.15. Next, convert it into a fraction. Given the decimal form of 2.15, this is already equivalent to 2 15/100. To simplify this, since both 15 and 100 are divisible by 5, we get 3/20. Therefore, the fraction is 2 3/20. So the correct answer is option B. 2.15; 2 3/20.