![]() ![]() The above two calculators can be found at the following links, and work as shown above. However if you want to know a faster way to get straight from a Fraction to a Decimal, (Using Dividing), then watch the following video on how to do this. This works okay and will give the correct answer. Using the methods from our Percentage lessons on Passy’s World, we would have to convert a Fraction to a Decimal by doing:įraction into Percent, and then converting this Percent into a Decimal. ![]() Video About Converting Fractions to Decimals This video shows how to convert a Fraction to a Decimal, and then convert the Decimal to a Percent. Watch the following video which shows how to convert Fractions into Percentage Values, but using a different method to what we have in our Passy’s World lesson. Here at Passy World we believe this is the easiest way to change any Fraction into a Percent value. The following video shows some examples of converting fractions to Percentages by Multiplying them by 100, and then simplifying. It is very useful to have an idea of what Fraction of a whole amount any given Percentage is. The following common Fraction and Percentage Values should be be commited to memory. To convert any Fraction into a Percentage, follow these steps. ![]() This lesson is all about converting Fractions to Percentages. It is now much clearer to compare results.įor example we can now see that five times as many people love chocolate as those who hate chocolate, (50 % compared to 10 %). Multiplying each of our Chocolate Survey Fractions by 100/1 gives the following results: To Convert a Fraction to a Percent: MULTIPLY BY 100 / 1 Survey Results are usually converted to Percent Values, so that we can compare them far more easily. How can we know how much bigger 1/2 is than 1/10. Statistical Results are not usually presented like this, because it is too hard to compare items.Įg. These survey results as fractions look like this: Our survey results turned out as follows:ġ out of every 10 people did not like chocolate at all, and 2 out of every 5 people were undecided, and 1 out of every 2 people love chocolate so much that they eat it everyday! We were wondering if anyone liked chocolate as much as “Augustus” (pictured above), who went swimming in a river of chocolate in the original “Willy Wonker and the Chocolate Factory” movie. To the left from dot we multiply by ten, to the right – we divide by ten.Let’s say we did a survey about people liking chocolate. The answer to the problem is using a decimal point – a dot (or a comma) – to separate whole numbers from fractions.Ī₂a₁a₀.b₁b₂b₃ = a₂×100 + a₁×10 + a₀×1 + b₁/10 + b₂/100 + b₃/1000 Now, What if you want to write down a decimal fraction? We call places in the number after the powers of ten – the one's place, the ten's place, the hundred's place, and so on.Ĥ3210 = 4×10000 + 3×1000 + 2×100 + 1×10 + 0×1 If a digit is on the "zeroth" place, we multiply by 1, on the first – by 10, on the second – 100, on the third – 1000, and so on. The indexes tell us how many zeros the powers of ten have to have. To get the number (right side of the equation), we multiply each digit by the powers of ten (1, 10, 100. The index next to "a" denotes the digit's place (we count from 0, from right to left). The symbol "a" here represents a digit from 0 to 9. If we were to write a general formula for a 4-digit number, it could look like this:Ī₃a₂a₁a₀ = a₃×1,000 + a₂×100 + a₁×10 + a₀×1 This way, using ten symbols (0-9), we can represent any rational number. The system is much more practical than alternatives like representing numbers with lines (that's what some ancients would do). For example, digit "3" in "13" equals 3, but in "342," it equals 300. "Positional notation" means we assign a different value to a symbol depending on its position. "Decimal" means the system is based on 10. You can convert between those systems using tools like our binary converter. Other systems include the binary and hexadecimal systems. Hindu–Arabic numeral system (or Indo-Arabic numeral system) is the decimal positional system, nowadays the most commonly used numeral system in the world. ![]()
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