![]() To convert a decimal to a percent, multiply it by 100.Ĭonsider the fraction 3/5.Convert the fraction into decimal form by dividing the numerator by the denominator using long division.Then, we multiply the quotient by 100.įollow the steps mentioned below to convert fraction to percent using decimals. In this method, we first divide the numerator of the fraction by its denominator. Let's discuss the first way to convert fraction to percent, that is, fraction to percent by using decimals. There are other ways to convert a fraction to a percent that we will be studying in this article. To convert a fraction to percent, we multiply it by 100. To find the percentage for this fraction, we have to find the number of parts that would be shaded out of 100. Say, for example, fraction = 3/5 which means 3 parts are shaded out of 5. Converting a fraction to percent means to convert the whole part into 100 and find how many are considered out of 100. The percent is another name for indicating hundredths. "Percent means a part or a portion out of hundred." In other words, we can say that percent is the ratio calculated out of 100 or percent is a fraction with 100 as the denominator. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing. Fractions are represented as numerical values which can be defined as the parts of a whole. The word fraction is derived from the Latin word "fractio" which means 'to break'. In this case, we can simplify the fraction down to 1/20. 63/1 will become 63/100 after we multiply the top and bottom by 100. This will give you a fraction.įor example. Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. Create a fraction with the decimal as the numerator and "1" as the denominator. ![]() To convert a decimal into a fraction, you just have to do the same process in reverse. You show that a decimal repeats by drawing a line over the last two numbers. In some cases, there is no easy way to divide. The result won't always have a simple answer. To turn a fraction into a decimal, divide the numerator by the denominator. Converting fractions into decimal numbersĬonverting fractions to decimals is simple once you know your division. The important thing to know is that, most of the time, you only want to write out to the second decimal place (or the "hundredths" place). That's a bit of an involved process, so we won't go over that step by step here. The best way to calculate decimals is using long division. To keep things simple, we mark off the start of these decimal numbers with a decimal point or period. The number of places we go beyond 1 are called decimal places. With a decimal, though, the numbers go after the 1s place instead of before. It's called a "decimal" because it's done in groups of ten ("dec-" in Latin), like normal numbers. How to handle decimalsĪ decimal is another way of showing a partial number. In general you want to divide down to the smallest numbers you can this is called simplifying fractions. The way to get equivalent fractions is the multiply or divide the top and bottom numbers by the same number. Sometimes fractions can be written differently but have the same value. Improper fractions can also be written out as a mix of a whole number and a fractions. If the number on top is larger we call it an improper fraction. The number on bottom is called the denominator this is how many of those parts make one whole (Two thirds).īecause a fraction means a "part" of something, we call fractions "proper" if the number on top is smaller than the number on bottom (this means that it is less than 1). The number on top is called the numerator this is the number of parts we have ( Two thirds). ![]() To use fractions, we need to figure out what number goes on top, and what goes on bottom. "Two thirds" would be written out as 1/3. A fraction usually means a number of equal parts like "one half" and "two thirds." This is written as one whole number over another whole number. How to tackle fractionsįractions are a common way of writing out partial numbers. Fractions and decimals are two common ways to write out partial numbers.
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