how to add fractions with uncommon denominators?
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['Find the LCM of the two denominators. Suppose you want to add the fractions 3/4 + 7/10. ... ', 'Increase the terms of each fraction so that the denominator of each equals the LCM. ... ', 'Substitute these two new fractions for the original ones and add.']
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['input fractions, mixed numbers or whole numbers;', 'select. "+" - for addition fractions, "-" - for subtraction fractions, "×" - for multiplication fractions, "÷" - for division fractions;', 'press button ( "=" ).']
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['Cross-multiply the two fractions and subtract the second number from the first to get the numerator of the answer. ... ', 'Multiply the two denominators together to get the denominator of the answer. ... ', 'Putting the numerator over the denominator gives you your answer.']
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['Adding Fractions,', 'Subtracting Fractions,', 'Multiplying Fractions and.', 'Dividing Fractions.']
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To do this, give the whole number a denominator of 1. Convert to fractions of like denominators. The original fraction's denominator is also the least common denominator (LCD) of the two fractions. Multiply the top and bottom of the "whole number fraction" by this number so the fractions have the same denominator.
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You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator. ... Rewrite the fractions as equivalent fractions with the LCM as the denominator.
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['Find the smallest multiple (LCM) of both numbers.', 'Rewrite the fractions as equivalent fractions with the LCM as the denominator.']
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["Multiply the whole number part by the fraction's denominator.", 'Add that to the numerator.', 'Then write the result on top of the denominator.']
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['Build each fraction (if needed) so that both denominators are equal.', 'Add the numerators of the fractions.', 'The new denominator will be the denominator of the built-up fractions.', 'Reduce or simplify your answer, if needed. Factor the numerator.']
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Step 1: Separate the whole number from the fractions. Step 2: Now we will add the whole numbers together and add the fractions together. To add the fractions we need common denominators. Now that we have common denominators, we can add the numerators and leave the denominator the same.
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['Convert mixed numbers to corresponding improper fractions;', 'Find the LCM of denominators of derived improper fractions;', 'Rewrite these fractions over the LCM;', 'Add new numerators;', 'Put the sum of numerators over the LCM;', 'Divide this fraction by the number of fractions, n ;']
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['Convert the mixed numbers to improper fractions.', 'Use the algebraic formula for subtraction of fractions: a/b - c/d = (ad - bc) / bd.', 'Reduce fractions and simplify if possible.']
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Remember, you can only add and subtract fractions when the bottom numbers, or denominators, are the same. So, to add or subtract fractions: Change the fractions so they have the same denominator. Add or subtract the top numbers, or numerators.
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To find the difference of two fractions with different denominators, rewrite the fractions with a common denominator before subtracting. Here is a subtraction problem. The fractions in this problem have different denominators, 8 and 4. Rewrite the fractions so they share a common denominator.
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An easy way to do this is to multiply the numerator and denominator of each fraction by the denominator of the other fraction. Then pick a rational number that falls between the resulting numerators and construct a new fraction that has that numerator and the shared denominator.
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Adding mixed fractions? You could first convert each to an improper fraction. If they have common denominators, then you could add the fractions together, simplify, and convert the answer back to a mixed fraction.
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['Check to see if the fractions have the same denominator.', "If they don't have the same denominator, then convert them to equivalent fractions with the same denominator.", 'Once they have the same denominator, add or subtract the numbers in the numerator.', 'Write your answer with the new numerator over the denominator.']