The percent value is computed by multiplying the numeric value of the ratio by 100. In British English, the percent is sometimes written as two words "per cent" (although percentage and percentile are written as one word). The percentage is often denoted using the percent sign, %, or the abbreviation "pct." The word "percent" comes from "percent," which is short for "per centum," which means per hundred. In mathematics, a percentage is a number or ratio expressed as a fraction of 100. To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. Method Two: Order Fractions by Converting to DecimalĪ more straightforward method of ordering fractions is to convert each fraction to a decimal, then order them.Īfter all of the fractions are in decimal form, order the decimals from small to large or large to small, depending on if ascending or descending order is desired.Synopsis: Free online instant calculator for finding a percentage of a number as well as reverse percentage calculations. It is now possible to sort the converted fractions by simply ordering the numerators from small to large. Place the converted numerator over the least common denominator to get the converted fraction. Then multiply this number by the fraction’s numerator to find the converted numerator. To do this, divide the least common denominator by the fraction’s denominator. If you’re not sure how to do this, check out our LCD calculator.Īfter you have found the least common denominator, convert each fraction to the equivalent fraction with that denominator. This will be the same as the least common multiple (LCM) of the denominators. The next step is to find the least common denominator for all of the fractions. If you are comparing whole numbers, then convert the whole number to a fraction by placing the number over 1. The first method allows for sorting a list of fractions in just a few simple steps.įirst, convert any mixed numbers to a fraction. Method One: Order Fractions by Converting to the Same Denominator Ordering a set of fractions might seem intimidating, but it’s possible to sort the list using a few different methods. To change the sort order from ascending to descending, simply flip the less than () symbol that’s between each number to the opposite direction. Numbers in ascending order are sorted from least to greatest, while numbers in descending order are sorted from greatest to least. There are a few different methods for sorting: ascending order or descending order. When one number is smaller than another, the less than symbol is used like this:Īfter converting to decimal, sort the list by comparing each decimal value. The most commonly used comparison symbols when comparing two numbers are less than (), and equal (=). Convert decimals back to fractions or back to percentages if needed.Ī comparison symbol, or comparison operator, is a mathematical symbol used to compare two numbers. The final step is to rewrite each number in its original form. (see the “What are Comparison Symbols?” section below). If you want to sort from greatest to least, then put larger numbers on the left and smaller numbers on the right.Īfter you arrange the numbers in order, add a comparison symbol between each one to compare the numbers. Then, compare each number and put smaller numbers on the left and larger numbers on the right. The easiest form to compare is decimal form, so convert fractions to decimal and percentages to decimal. The first step to putting a set of numbers in order is to change them all into the same form.
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