To find a ratio, simply count all the items of each category and compare the numbers to one another. Frequently, you have to find a ratio expressed in all notations, and simplify it as well.
Know MoreIf finding the ratio of men to women, first count up how many men there are, then how many women there are. Always keep track of the order of items, as it should not change. For example, if there are three men and six women, the ratio of men to women is "three to six." This is called expressing the ratio "in words."
Frequently, it is expected that the ratio is given in more than one way. To give the ratio as odds, give both numerals with a colon separating them From the previous example, the odds notation would be 3:6. To give a ratio as a fraction, keep the same numerals in the same order, but separate them with a fraction sign. For that example, the fractional notation is 3/6.
Often, the ratio is also asked for in its simplest form. To do so, reduce the fraction. For example, 3/6 reduces to 1/2. These numbers can also be applied to the other notations, so you now have the ratio of men to women as "one to two" or 1:2.
To convert a percentage to a ratio, write out the percentage number as a fraction, reduce the fraction to its simplest form and convert the new fraction to a ratio by replacing the slash mark with a colon. Converting a percentage to a ratio takes only a few minutes and requires paper and a pencil.
Full Answer >A whole number and a mixed number are simplified by first expressing the sum as a fraction with the same denominator as the proper fraction portion of the mixed number, and then simplifying that fraction if possible. The resulting number is an improper fraction. To convert the improper fraction to a ratio such as x:y, write the numerator of the fraction before the colon, with the denominator after.
Full Answer >Mixed numbers can be added either by first converting them to improper fractions and then adding, or by adding the fractional part and the whole-number part of the mixed numbers separately and carrying or regrouping as necessary. In either case, the fractions can only be added after a common denominator has been found.
Full Answer >A mixed number contains a whole number and a fraction. To estimate fractions with mixed numbers, add the benchmark of the fraction to the whole number.
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