Below are six versions of our grade 5 math worksheet on adding mixed numbers where the fractional parts of the numbers have different denominators. These math worksheets are pdf files.
5 More Become a Member These bonus worksheets are available to members only. Join K5 to save time, skip ads and access member only features. Learn More More fractions worksheetsExplore all of our fractions worksheets, from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. Instructor: Laura Pennington Show bio Laura received her Master's degree in Pure Mathematics from Michigan State University, and her Bachelor's degree in Mathematics from Grand Valley State University. She has 20 years of experience teaching collegiate mathematics at various institutions. In this lesson, we will take a close look at each of the steps involved in adding mixed fractions with different denominators. After familiarizing ourselves with the process, we will look at an application to put the process to use. Steps to SolveTo add mixed fractions with different denominators, we simply need to perform three steps. Of course, this means knowing how to do each step, so let's figure this out together. First of all, a mixed number is a number with a fraction part and a whole part. When we want to add mixed numbers with different denominators, the first step we take is to convert the mixed numbers to improper fractions, where an improper fraction is a fraction with a numerator larger than its denominator. When converting a mixed number to an improper fraction, the denominator will remain the same. To find the numerator, we multiply the whole part of the number by the denominator of the fraction part and then add the numerator of the fraction part. For example, suppose we are converting 3 1/4 to an improper fraction. We know the fraction's denominator remains the same, so it will be 4. To find the numerator, we multiply the whole number 3 by the denominator 4, and then add the numerator 1 to get 3*4 + 1 = 13. Thus, we have that 3 1/4 = 13 / 4. The second step in adding mixed fractions with different denominators is to add together the two improper fractions that you found in the first step. To do this, you will need to find a common denominator and then add the numerators. This can be accomplished using the illustrated rule. For example, suppose we are adding 3 1/4 + 1 1/2. We already converted 3 1/4 to 13/4. To convert 1 1/2, we keep the denominator of 2 and find the numerator using our conversion rule. 1 1/2 = (1*2 + 1) / 2 = 3/2. Now, we add the improper fractions 13/4 and 3/2 using our addition rule. We see that 13/4 + 3/2 = 19/4. The last step in adding mixed fractions with different denominators is to convert the improper fraction you found in the second step back to a mixed number. To do this, you perform the division indicated (in this case, 19 divided by 4). The quotient will be the whole number in the mixed number, the remainder will be the numerator in the fraction of the mixed number, and the denominator of the fraction in the mixed number stays the same. Consider our result 19/4 from our example. To convert this to a mixed number, we perform division to get 19/4 = 4 remainder 3. We now know that the whole number in the mixed number will be 4, the numerator of the fraction in the mixed number will be 3, and the denominator of the fraction in the mixed number will be 4. Therefore, 19/4 = 4 3/4. Once you get familiar with these steps, adding mixed numbers with different denominators becomes a breeze! Let's look at these steps in a nice, laid out manner.
SolutionTo add mixed numbers with different denominators, we follow these steps.
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