how to.add and subtract fractions?
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Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.
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Subtracting fractions from whole numbers isn't as hard as it looks. There are two main ways to go about it: you can either convert the whole number into a fraction, or subtract 1 from that whole number and convert the 1 into a fraction with the same base as the fraction you're subtracting from it.
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['To add mixed numbers, we first add the whole numbers together, and then the fractions. ... ', 'If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding. ... ', 'Subtracting mixed numbers is very similar to adding them.']
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['When adding positive numbers, count to the right.', 'When adding negative numbers, count to the left.', 'When subtracting positive numbers, count to the left.', 'When subtracting negative numbers, count to the right.']
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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 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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['Add or Subtract the same value from both sides.', 'Clear out any fractions by Multiplying every term by the bottom parts.', 'Divide every term by the same nonzero value.', 'Combine Like Terms.', 'Factoring.', 'Expanding (the opposite of factoring) may also help.']
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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. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number.
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['Write the numbers so each place value lines up vertically.', 'Subtract the digits in each place value. Work from right to left starting with the ones place. ... ', 'Continue subtracting each place value from right to left, borrowing if needed.', 'Check by adding.']
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['Find the least common denominator.', 'Change each fraction to an equivalent fraction having the LCD as its denominator.', 'Add the numerators and place over the LCD.', 'Simplify or reduce the answer.']
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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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['Find the least common denominator.', 'Make equivalent fractions using the LCD.', 'Add or subtract the numerators.', 'Simplify the result if necessary.']
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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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['As you go right, the numbers go up, which is addition (+).', 'As you go left, the numbers go down, which is subtraction (–).']
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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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['Leave the first fraction in the equation alone.', 'Turn the division sign into a multiplication sign.', 'Flip the second fraction over (find its reciprocal).', 'Multiply the numerators (top numbers) of the two fractions together. ... ', 'Multiply the denominators (bottom numbers) of the two fractions together.']
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['Place the cursor in the subtraction number position (cell B1)', 'Do a copy (CTRL+C)', 'Make a range A1:A10, containing the numbers that will be subtracted.', 'Do a paste special (CTRL+ALT+V)', 'Select “Subtract” in the Operation section.', 'Click the OK button.']