Percentages are easier for some purposes, harder for other.
Because decimals are a form you use regularly like with money, but with fractions, its not used all the time such as a decimal is used.
Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!
You might think that 1/4 is greater than 1/3 because 4 is greater than 3. If you know that 1/3 = 4/12 and 1/4 = 3/12, it makes them easier to compare.
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
Percentages are easier for some purposes, harder for other.
Because decimals are a form you use regularly like with money, but with fractions, its not used all the time such as a decimal is used.
Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!
You might think that 1/4 is greater than 1/3 because 4 is greater than 3. If you know that 1/3 = 4/12 and 1/4 = 3/12, it makes them easier to compare.
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
Since 4 is greater than 3, you might think that 1/4 is greater than 1/3. But if you know that 1/3 = 4/12 and 1/4 = 3/12, it makes them easier to compare.
It is easier to understand rates of changes as percents, sometimes, than as a fraction. Such as the stock market fell 70%Also, you can compare percents and fractions are a little harder to compare. For example you got 91 percent right on your test and your friend took a similar test with twice as many problems and got 83% right. It is easy to compare the percents.There are many other reasons!
To determine if 60 percent is less or greater than 2 over 3, let's compare them by converting 60 percent to a fraction and then comparing the two fractions. 60 percent is equal to 60/100, which simplifies to 3/5. Now, let's compare 3/5 and 2/3: To compare these fractions, find a common denominator. The least common multiple of 5 and 3 is 15. Convert each fraction to have the common denominator of 15: 3/5 = (3 * 3) / (5 * 3) = 9/15 2/3 = (2 * 5) / (3 * 5) = 10/15 Now, compare the numerators: 9/15 is less than 10/15. Therefore, 60 percent (3/5) is less than 2/3.
Fractions were invented because it wass easier to write 1/3 than 0.333333333333333333333333333333333333333 --> with infinite-∞
To compare two fractions, you convert them to equivalent fractions with the same denominator. Then you can compare their numerators (top parts). In that case, the fraction with the larger numerator is larger.
Because that it s harder to work out percentages than fractions and decimals
8 percent is less than 10 percent