teaching students how to add fractions with unlike denominators?
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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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['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 the whole number parts.', 'Change the fractions as required to their equivalent values so all fractions have the same denominator.', 'Add/ subtract the numerators. Leave the denominator as is.']
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['Step 1: Find the least common denominator. Find the least common denominator (LCD) of the fractions. ... ', 'Step 2: Find the equivalent fraction. Find the equivalent fraction of each fraction so that they all have the LCD as the denominator.', 'Step 3: Subtract the new numerators. ... ', 'Step 4: Simplify if necessary.']
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To add fractions there are Three Simple Steps: Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator. Step 3: Simplify the fraction (if needed)
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['The bottom numbers (the denominators) are already the same. Go straight to step 2.', 'Add the top numbers and put the answer over the same denominator:', 'Simplify the fraction:', 'Step 1: The bottom numbers are different. ... ', 'Step 2: Add the top numbers and put them over the same denominator:', 'Step 3: Simplify the fraction:']
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You can add a whole number and a proper fraction by simply combining the two elements. To add a whole number and an improper fraction, you must convert the whole number to an improper fraction, find a common denominator, then add the fractions.
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Follow these 3 steps to convert a mixed number to an improper fraction: Multiply the whole number by the denominator. Add the answer from Step 1 to the numerator. Write answer from Step 2 over the denominator.
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["Multiply the whole number by the denominator. Let's use 1 ¾. ... ", 'Add that number to the numerator. ... ', 'Write your new numerator over the original 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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To order fractions with like denominators, look at the numerators and compare them two at a time. It is helpful to write a number in a circle next to each fraction to compare them more easily.
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['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). Put the answer over the same denominator.', 'Simplify the fraction (if needed).']
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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.
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Student response: addition. "We will add the fractions." I explain to the students that in order to add fractions with like denominators, all we have to do is add the numerator, which is the top number. If you are subtracting fractions with like denominators, you just subtract the top numbers.
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Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers.
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['Cross-multiply the two fractions and add the results together to get the numerator of the answer. Suppose you want to add the fractions 1/3 and 2/5. ... ', 'Multiply the two denominators together to get the denominator of the answer. ... ', 'Write your answer as a fraction.']
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For example, to add 1/2 + 1/3, first find the common denominator of 2 and 3, or the Least Common Multiple of 2 and 3, which is 6.