Follow the steps for converting fractions to decimal fractions.ģ.Convert the mixed fraction into a normal fraction.Conversion from mixed numbers to decimal fractions: Thus, the decimal fraction of 3/2 is 15/10.Ģ.Now multiply the numerator and denominator with the same number to get your decimal fraction.In this case, 5 multiplied by 2 gives 10. The first step would be to consider the number that gives 10 or a multiple of 10 when multiplied by the denominator.Let us consider an example of a fraction, 3/2.Conversion from fractions to decimal fractions: The Chinese first developed and used decimal fractions at the end of the 4th century BC, which spread to the Middle East before reaching Europe.ġ. So, for instance, 3/10 is read as three-tenths. When the value of the numerator is more than one, we add an ‘s’ to the name. We will consider different denominators to understand how these terms are read with this numerator. Let us consider a scenario where 1 is in the numerator. Other fractions with non-ten numbers in the denominator are not decimal fractions. 39/1000 is a decimal fraction written as 0.039.19/10 is a decimal fraction written in the decimal form as 1.9.7/10000 is a decimal fraction written in the decimal form as 0.0007.In algebra, a decimal fraction is a number having 10 or the powers of 10 like 10¹, 10², 10³, and so on in the denominator. These decimal fractions are usually expressed in decimal numbers (numbers with a decimal point). The numerator can be any integer (between -infinity and +infinity). X is the numerator in this example, and y is the denominator.ĭecimal fractions are the fractions in which the denominator (y in the image) must be 10 or a multiple of 10 like 100, 1000, 10000, and so on. The correct way of writing a fraction is – You must know that a fraction comprises a numerator (top part) and a denominator (bottom part). The prerequisite for understanding decimal fractions is the understanding of normal fractions. 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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