how to teach addition of unlike fractions?
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Step 1: Find a common denominator If your denominators are different, you're adding fractions with unlike denominators. When adding unlike fractions, you need to find a common denominator so you can add the two fractions together.
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To do this, you need to find the least common multiple (LCM) of the two denominators. To subtract fractions with unlike denominators, rename the fractions with a common denominator. Then subtract and simplify. The LCM of 3 and 11 is 33 .
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To find the average of a set of fractions, integers, and mixed numbers convert the integers and mixed numbers to improper fractions, add all fractions, then divide the sum by the number of fractions as follows: Convert the integers and mixed numbers to improper fractions.
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['Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.', 'Multiply the numerator (top) of the fraction by the same number.', 'Take this new numerator and write a % sign after it.']
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['Simplify the fractions if not in lowest terms.', 'Multiply the numerators of the fractions to get the new numerator.', 'Multiply the denominators of the fractions to get the new denominator.']
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It's easy to add and subtract like fractions, or fractions with the same denominator. You just add or subtract the numerators and keep the same denominator. The tricky part comes when you add or subtract fractions that have different denominators. To do this, you need to know how to find the least common denominator.
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Subtracting mixed fractions? You could first convert each to an improper fraction. If they don't have common denominators, then find a common denominator and use it to rewrite each fraction. Then, subtract the fractions and simplify.
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['You must have a common denominator.', 'To find the Least Common Denominator (LCD), take the least common multiple of the individual denominators.', 'Express each fraction as a new fraction with the common denominator, ... ', 'To add fractions with the same denominator:']
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['Things to remember:', 'Step 1: Find the multiple, to see which fraction we change.', 'Step 2: Multiply the top and bottom of the fraction by the same number to make the denominators the same.', 'Step 3: Add or subtract the fractions.']
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Subtract the whole number of the smaller mixed number from the whole number of the new larger mixed number. If the proper fractions have similar denominators, subtract the numerators directly and remain the denominator as it is.
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['Fractions with the same denominators can be added (or subtracted) by adding (or subtracting) the numerators .', 'If two fractions do not have the same denominator, then find a common denominator by making equivalent fractions .', 'This is the final answer as the fraction cannot be simplified .']
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['Find a common denominator by multiplying the two denominators together.', 'Manipulate the fractions so that they both have the common denominator.', 'Once you have a common denominator in both fractions, subtract the numerators.']
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['Add a positive integer by moving to the right on the number line.', 'Add a negative integer by moving to the left on the number line.', 'Subtract an integer by adding its opposite.']
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['Things to remember:', 'Step 1: Find a common multiple of the denominators.', 'HINT: The easiest way to do this is multiply the denominators together.', 'Step 2: Multiply the fractions so that the denominators the same.']
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Subtract, don't add, the fractions. The correct answer is . Subtracting mixed numbers works much the same way as adding mixed numbers. To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers.
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['Subtract 1 from the whole number part of the mixed number being subtracted.', 'Add that 1 to the fraction part to make an improper fraction. For example, .', 'Then, subtract as with any other mixed numbers.']
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['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). ... ', 'Simplify the fraction (if needed).']