Ratios give the relation between two quantities. For example, if two quantities A and B have a ratio of 1:3, it means that for every quantity of A, B has three times as much. Ratios can be represented in various formats, such as 1:3, 1/3 or "1 to 3." If two numbers are known, here are some simple steps to find the ratio between them.
Know MoreRatios are usually the simplest representation of two quantities. The numbers that form the ratio should therefore be reduced to their simplest terms by dividing the numbers by their greatest common factor, if they have one. For example, for the ratio of 20 red balloons to 15 blue balloons, the numbers would be divided by 5. The number 5 is their greatest common factor, and it reduces the quantities to their equivalents of 4 red balloons and 3 blue balloons.
Choose the format in which the ratio is to be represented. In the example of red and blue balloons stated above, there are various forms of representation. For example, it can be stated that "the ratio of red to blue balloons is 4:3," "the ratio is 4/3" or "the ratio of red to blue balloons is 4 to 3."
This step is optional. Ratios can be expanded to calculate the desired number of an object in a given scenario. In the balloon example, assume a birthday party is being planned so the ratio of red to blue balloons is 4:3 in all rooms and 70 balloons are to be used. Now knowing the required ratio, it can be calculated that 40 balloons need to be red and 30 need to be blue to maintain the ratio.
In a sequence of numbers, each successive term is usually obtained by adding a certain fixed number to the previous term of the sequence. The equation to calculating the nth term of the sequence is an+b; "a" is the fixed number that is being added to generate the series, and "b" gives the relation between the fixed number and the first number of the sequence.
Full Answer >The ratio 7 to 12 is written as 7/12 as a fraction in its simplest form. It is not possible to simplify this fraction any further because 7 and 12 have no common factors.
Full Answer >To divide numbers, identify the dividend and the divisor. Divide the first digit of the dividend by the divisor, note the result, then multiply the result by the divisor and note it. Subtract that result from the first digit, bring down the next digit, and continue this process.
Full Answer >There are 43 numbers between one and 100 that are divisible by three or seven. These numbers include 29 numbers that are only divisible by three, 10 numbers that are only divisible by seven, and four numbers that are divisible by both three and seven.
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