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To get from 2 to 4, we multiply by 2.īecause we multiplied the denominator by 2, we must also multiply the numerator by 2. To work out what the numerator will be, we must find out what we multiply the denominator by to get to 4. However, one-half has a different denominator of 2. One-quarter already has a denominator of 4, so we don’t need to change it. We must change both the numerator and the denominator by the same proportion. To find a fraction that is the same size, but has a different numerator and denominator, we are finding an equivalent fraction. We will change one fraction so that they are both quarters i.e. So, the smallest number that both denominators divide into is 4. The largest denominator out of the two fractions is the 4.īoth 2 and 4 divide into 4 since 2 x 2 = 4. We can start by looking at the largest denominator and seeing if both numbers divide into it. We are looking for the smallest number that both 2 and 4 divide into.

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This means, the smallest number that both denominators divide into. To change a fraction so that it has the same denominator as another fraction, we need to find their lowest common multiple. Once two fractions have the same denominator, we can simply add the numerators and keep the denominator the same. We can see that if we combine the two-quarters with the one-quarter that we have a total of three-quarters. Now that the parts are the same size, we can add the fractions. However, the total number of parts has changed. The same proportion of the shape is still shaded in. Here we have divided the first shape so that it also has four equal parts. When fractions have the same denominator we say that they have a common denominator. To be able to add these two fractions, the parts need to be the same size so we can count them. The shapes have been divided into a different number of parts. This is because the denominators are different and the denominator tells us how many equal parts to divide the shape into. Therefore the two fractions are unlike fractions. However, this is not easy to calculate because the fractions are divided into different sizes. In the following example, we are asked to add the fractions We will start by looking at examples where only one fraction will change. In order to better understand these steps, we will look at some examples. The fractions are now like fractions and can be added by keeping the denominator the same and adding the numerators.Rewrite each fraction as an equivalent fraction containing this common denominator by multiplying its numerator and denominator by the same value.Find the lowest common denominator, which is the first number to appear in both times tables of the given denominators.The steps to add fractions with unlike denominators are: In this lesson we look at the steps required to add fractions with unlike denominators by converting the fractions into like fractions. Unlike fractions are fractions that do not have the same denominator. Like fractions are two or more fractions that have the same denominator.

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The denominator of a fraction is the number on the bottom of a fraction, below the dividing line. The numerator of a fraction is the number on the top of a fraction, above the dividing line.

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Add fractions