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In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below. 64 th In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals. Percentages are often denoted by the symbol "%" written after the number. They can also be denoted by writing "percent" or "pct" after the number. For example, 35% is equivalent to the decimal 0.35, or the fractions . Percentages are computed by multiplying the value of a ratio by 100. For example, if 25 out of 50 students in a classroom are male, . The value of the ratio is therefore 0.5, and multiplying this by 100 yields: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method. a Since 30% is the discount, you deduct it from 100% first to know what percentage you actually have to pay (100% - 30% = 70%). Now you need the formula to calculate the original price, i.e. to find the number whose 70% equals 400.

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification. a In case you have one column of numbers, say column C that lists weekly or monthly sales, you can calculate the percentage change between the previous week/month and the current one using this formula: Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values then dividing the result by the initial value, essentially calculating how much the initial value has changed. Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction 1the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction 3 For example, if you have some values in column B and their total in cell B10, you'd use the following formula to calculate percentages of the total:

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together. Think of this as turning a fraction into a percentage. Your fraction is x/ y, and your percentage is [unknown, here] A/ 100.

Now suppose that you want to know how much interest you will have to pay over the lifetime of the mortgage, 25 years. Now you can take a further step, and calculate what the banks call the annual equivalent rate, that is, the average rate per year over the whole lifetime of the loan. You will probably need to use several steps, and several calculations, to get the answer. Mortgage Interest Calculations