Adding and Subtracting Fractions

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Questions and Answers

What is the sum of $ rac{4}{9} + rac{5}{9} $?

  • $ rac{5}{9} $
  • $ rac{3}{9} $
  • $ rac{9}{9} $ (correct)
  • $ rac{1}{2} $

What is the result of $ rac{5}{8} - rac{2}{8} $?

  • $ rac{5}{4} $
  • $ rac{7}{8} $
  • $ rac{1}{4} $
  • $ rac{3}{8} $ (correct)

If you have $ rac{1}{4} + rac{3}{8} $, how do you solve it?

  • Add the numerators and keep $ rac{1}{4} $ as is.
  • Do not convert and add directly.
  • First subtract the fractions, then convert.
  • Convert $ rac{1}{4} $ to $ rac{2}{8} $ and then add. (correct)

Which of the following describes addition of fractions with unequal denominators?

<p>First make the denominators equal, then add the numerators. (D)</p> Signup and view all the answers

How do you calculate $ rac{6}{10} - rac{2}{5} $?

<p>Convert $ rac{2}{5} $ to $ rac{4}{10} $ before subtracting. (A)</p> Signup and view all the answers

Flashcards

Adding fractions with equal denominators

Adding two fractions with the same bottom number: add the top numbers, keep the bottom number the same.

Subtracting fractions with equal denominators

Subtracting two fractions with the same bottom number: subtract the top numbers, keep the bottom number the same.

Subtracting Fractions with Different Denominators

To subtract fractions with different bottom numbers, you must first find a common denominator. Then, subtract the numerators and keep the common denominator.

Adding or subtracting fractions and whole numbers

When adding or subtracting fractions and whole numbers, treat the whole number as a fraction with a denominator of 1.

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Adding or subtracting mixed numbers

To add or subtract mixed numbers, convert the mixed numbers to improper fractions. Then, follow the rules of addition and subtraction for fractions.

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Study Notes

Adding Fractions

  • If denominators are the same, add the numerators and keep the denominator the same
  • Example: 3/7 + 2/7 = 5/7

Adding Fractions with Different Denominators

  • If denominators are different, first make them the same
  • Then add the numerators and keep the denominator the same

Subtracting Fractions

  • If denominators are the same, subtract the numerators and keep the denominator the same
  • Example: 3/7 - 2/7 = 1/7

Subtracting Fractions with Different Denominators

  • If denominators are different, first make them the same
  • Then subtract the numerators and keep the denominator the same

Mixed Fractions

  • Same rules apply as for normal fractions when adding or subtracting mixed fractions. Consider the examples provided.

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