Welcome to our exploration of fractions and percentages with Spark.E!At their core, percentages are simply fractions with a denominator of one hundred.Let's start with a simple fraction: one-half. Here we can see it represented as a pie chart.This same amount can be shown as fifty out of one hundred squares, or fifty percent.Similarly, one-fourth of a circle corresponds to twenty-five out of one hundred squares.And three-fourths represents seventy-five out of one hundred squares.Remember, whether we use fractions or percentages, we're simply expressing parts of a whole in different ways.Now that we understand this relationship, let's learn how to convert between fractions and percentages.To convert any fraction to a percentage, we follow two simple steps.Let's start with three-fourths. First, we divide three by four.Then multiply the result by one hundred to get seventy-five percent.Let's try another example: five-eighths.First divide five by eight to get zero point six two five.Then multiply by one hundred to get sixty-two point five percent.Using a calculator makes these conversions quick and easy.Here are some fractions for you to practice converting to percentages.Some fraction-to-percentage conversions are so common, they're worth memorizing.One half is always fifty percent, one quarter is twenty-five percent, three quarters is seventy-five percent, and one tenth is ten percent.For fractions with a denominator of five, we have a special shortcut: multiply the numerator by twenty.For example, three fifths becomes sixty percent when we multiply three by twenty.When working with thirds, we get repeating decimals. One third is approximately thirty-three point three three percent.And two thirds is approximately sixty-six point six seven percent.Let's practice these shortcuts with some examples.Four fifths: using our denominator five rule, multiply four by twenty to get eighty percent.Two fourths: this is equivalent to one half, which we know is fifty percent.Seven tenths: since the denominator is ten, simply multiply by ten to get seventy percent.Let's review these helpful shortcuts for converting fractions to percentages.With these shortcuts, you'll be able to convert fractions to percentages quickly in your head!
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