Final answer:
To find the fraction shaded, divide the number of shaded parts by the total number of parts. Convert this to a percentage by dividing the numerator by the denominator to get a decimal, then multiply by 100. Alternatively, set up equivalent fractions with 100 as the denominator and solve for the percentage.
Step-by-step explanation:
To determine what fraction is shaded, you need to count the number of equal parts that are shaded and divide it by the total number of equal parts. Once you have this fraction, you can convert it into a percentage by using the fact that percentage (%) represents a part out of a hundred. To convert a fraction to a percentage, you divide the numerator by the denominator to get a decimal and then multiply by 100. For instance, if you have a fraction ½, you would perform the calculation this way: 0.5 (which is 1 divided by 2) multiplied by 100 equals 50%, meaning that 50% of the shape is shaded.
To convert concentration in percent, imagine you have a solution with a concentration of ½. To express this as a percentage, again you divide 1 by 2 to get 0.5 and then multiply by 100 to get 50% concentration.
Another way to calculate a percentage is to set up equivalent fractions with 100 as the denominator. For example, if the fraction of shaded area is 3/4, then you can set up the equivalent fraction ¾ = X/100. Cross-multiplying to solve for X gives you X = 75, implying the shaded area is 75%.