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How to Convert a Fraction to a Percentage The easiest way to remember how to work out fractions as decimals is to think of the line separating the numerator and the denominator as a division symbol.ģ. Divide the numerator by the denominator to get the decimal figure: The method used to convert a fraction to a decimal is a simple division: you just divide the numerator by the denominator. Since both are used to identify values of less than one, a decimal is just a different way of representing a fraction. Therefore, the correct answer is: 7⅘ = 39/5 2. Place it over the original denominator: 39/5.Add the result to the fractional numerator: 35 + 4 = 39.Whole number multiplied by fractional denominator: 7 x 5 = 35.Take this final figure as your new numerator and place it over the original denominator.Take the resulting figure and add it to the fraction’s numerator.First, multiply the whole number by the denominator of the fractional part.When asked to convert a mixed fraction to an improper fraction: In this example, we’ll use the mixed fraction of seven and four-fifths, written numerically as 7⅘. How to Convert a Mixed Fraction to an Improper FractionĪs discussed, a mixed fraction consists of a whole number followed by a fractional number. If you’re working with fractions in an exam setting, always be sure to show your method.ġ. 10 Simple Fraction Problems and How to Solve Themīelow are ten examples of fractional equations and guidance on how to solve them. We’ll look at how to convert fractions in the example equations below. Reciprocals are used when dividing and multiplying fractions (5 ÷ 1/5 is the same as 5 x 5/1 or 5 x 5).įractions can also be presented as decimals and percentages. As an example, the reciprocal of 2/3 is 3/2. Reciprocals – This is where the fraction is reversed by placing the denominator above the numerator. So, using the example above, 2/3 is a simplified version of 4/6. Basically, a lower equivalent of a higher fraction. Simplified fractions – These are fractions reduced to their lowest form. Now we know the different types of fractions, let’s look at some other key terms and phrases:Įquivalent fractions – These are fractions that appear different but hold the same value. Mixed fractions are also known as mixed numbers. Mixed fractions – A mixed fraction is presented as a whole number followed by a fractional number, such as 2⅔, 6⅘ or 25⅝. The overall value of an improper fraction is always more than one. 6/3, 25/18 and 50/20 are all examples of improper fractions. Improper fraction – In an improper fraction, the value of the numerator is greater than that of the denominator. The overall value of a proper fraction is always less than one. 1/2, 10/15, and 85/100 are all examples of proper fractions. Proper fraction – A proper fraction is a fraction in which the numerator is of lesser value than the denominator. First, let’s look at the three different types of fractions: Fraction Definitions and Examples To understand how to work out fractions, it’s important to get to grips with the fundamentals. However, there are different types of fractions and different methods for performing each type of fractional equation.
This in itself is fairly simple to understand. Two slices are the equivalent of two-sixths (2/6) and so on. If we take one slice of the pie, we have one-sixth (1/6). Since we have six equal parts of one whole, our denominator here is 6. The pie itself is the whole and the individual slices are the parts of the whole. The simplest way to define a fraction is to imagine a pie that is equally divided into six pieces. The top number of a fraction is called the numerator and refers to how many parts of the whole we are dealing with. When we talk about the denominator, we use ordinal numbers – that is, numbers that define a position, like ‘third’ or ‘fourth’. The bottom number is known as the denominator and refers to the separate parts of the whole. Fractions are made up of two numbers, one above and one below a dividing line.
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