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Q: Why are decimals easier to compare than fractions?

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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!

Because that it s harder to work out percentages than fractions and decimals

I Think Decimals Are Better Than Fractions

Because percentages are essentially the numerators of fractions with the same denominator, 100.

To compare decimals: look at the highest-order digit and compare. If it is the same, look at the next digit, and so forth. Thus, 23.5 is greater than 11.4 (because the tens digit is greater), 123.88 is greater than 25.82 (because the second number has no hundreds digit, so you can take it to be zero), 115.28 is greater than 113.99 (the first two digits are equal, so you compare the third digit). To compare fractions: use a calculator to convert to decimals, then compare. Alternately, you can convert to a common denominator, then compare the numerators.

You could convert them to like fractions with a common denominator and compare the numerators or you could convert them to decimals and compare them.

There are times when working with fractions is more convenient than working with decimals.

Yes. Convert the fractions to a common denominator, then you can easily compare. Or convert them to decimals - that's easy with a calculator. That also lets you compare easily.

It depends on what you are trying to do. For most people using decimals is easier because it allows them to visualize the number better than a fraction. For example, if you needed to order them from least to greatest, it may be easier to see them in decimal form rather than fractions. However, fractions are usually more accurate because some decimals need to be rounded off. For example, the fraction 1/7 is more accurate than the decimal form .142857142857..... because the numbers 142857 continue on infinitely.

You can use the same symbols that you use to compare integers or decimals: equal, greater than, greater-than-or-equal, etc.

Decimals are easy to compare, add, subtract, multiply, and divide, because they already have a common denominator. You can tell at a glance which is bigger than which. +++ Further the SI, or metric-based, units are based on decimals and powers of 10, so any vulgar fractions in using them arise only when writing real values in a formula.

When you convert a decimal greater than 1 into a fraction its easier to change it into a mixed number first. Then change it into an improper fraction.

You determine the least to greatest in decimals by using their leftmost unit. The decimal 0.2 is less than 0.3. To determine fractions, you need to first convert them to decimals.

The fraction 1/3=0.3333333... In this case it is better to use fractions just like in all cases. There will be no case when decimals will work better than fractions however, if a test says to use decimals; USE THEM!

Two ways: If they're unlike fractions, convert them to like fractions with a common denominator and compare numerators. Convert them to decimals by dividing their denominators into their numerators and see which is greater.

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.

Multiply them by a number greater than 100.

When working with statistics, or otherwise when presenting numbers to others, I'd say.It's easier to imagine the "meaning" of percentages, than some of the more difficult fractions, or long unwieldy decimal numbersWhilst calculating though, fractions (or decimals, if you can get them to be exact without having a page full ;P) are allways better.

when you are trying to find a price

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.

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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.

Yes. You need common denominators if you want to:Add fractionsSubtract fractionsCompare fractions ("which is larger?")You do not need common denominators to multiply or divide fractions. Thus, in the case of fractions, multiplication and division is actually easier than addition and subtraction.

Related concepts to fractions include ratios, proportions, percents, decimals, probabilities, cents, division, inverses. Parts of fractions are numerator and denominator. Fractions greater than 1 are improper fractions or mixed numbers.

Both are ways of representing numbers. Fractions can only be used for rational numbers whereas a decimal representation can also be used for irrational numbers. However, all fractions are exact values whereas any fractions whose denominators has a factor other than 2 or 5, and all irrationals can only be represented by decimals that are infinitely long. Since an infinitely long number cannot be written, the decimals for these numbers are approximations.