Adding and Subtracting Fractions

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Questions and Answers

What is the result of adding 1/4 and 2/4?

  • 3/8
  • 3/4 (correct)
  • 1/2
  • 5/4

What is the least common multiple of 4 and 6?

  • 6
  • 8
  • 10
  • 12 (correct)

What is the result of adding 2 1/4 and 1 3/4?

  • 4 1/4
  • 3 3/4
  • 4 0/4 (correct)
  • 3 5/4

What is the result of converting 7/4 to a mixed number?

<p>1 3/4 (B)</p> Signup and view all the answers

What is the result of converting 2 1/4 to an improper fraction?

<p>9/4 (C)</p> Signup and view all the answers

What is the result of subtracting 2/6 from 3/6?

<p>1/6 (B)</p> Signup and view all the answers

What is the result of adding 3/12 and 4/12?

<p>6/12 (B)</p> Signup and view all the answers

What is the result of converting 9/4 to a mixed number?

<p>2 1/4 (C)</p> Signup and view all the answers

What is the result of subtracting 1/4 from 3/4?

<p>2/4 (C)</p> Signup and view all the answers

What is the first step in adding fractions with unlike denominators?

<p>Find the least common multiple of the two denominators (C)</p> Signup and view all the answers

What is the result of 2 3/4 + 1 1/2?

<p>4 1/2 (B)</p> Signup and view all the answers

What is the purpose of finding the least common multiple when adding fractions with unlike denominators?

<p>To convert both fractions to have the same denominator (C)</p> Signup and view all the answers

What is the result of 3/4 - 1/4?

<p>2/4 (A)</p> Signup and view all the answers

What is the term for a combination of a whole number and a fraction?

<p>Mixed number (B)</p> Signup and view all the answers

What is the result of converting 2 3/4 to an improper fraction?

<p>11/4 (D)</p> Signup and view all the answers

What is the key difference between adding fractions with like denominators and unlike denominators?

<p>The denominators (A)</p> Signup and view all the answers

What is the result of 1/2 + 1/3?

<p>5/6 (C)</p> Signup and view all the answers

What is the purpose of converting a mixed number to an improper fraction?

<p>To make it easier to add or subtract (C)</p> Signup and view all the answers

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Study Notes

Adding and Subtracting Fractions

Like Denominators

  • When adding or subtracting fractions with the same denominator, simply add or subtract the numerators and keep the same denominator.
  • Example: 1/4 + 2/4 = 3/4, 3/6 - 2/6 = 1/6

Unlike Denominators

  • When adding or subtracting fractions with different denominators, find the least common multiple (LCM) of the two denominators and convert both fractions to have the LCM as the denominator.
  • Example: 1/4 + 1/6 =?, find the LCM of 4 and 6, which is 12. Convert both fractions: 1/4 = 3/12, 1/6 = 2/12, then add: 3/12 + 2/12 = 5/12

Mixed Numbers

  • A mixed number is a combination of a whole number and a fraction.
  • To add or subtract mixed numbers, follow these steps:
    1. Convert the mixed numbers to improper fractions.
    2. Add or subtract the improper fractions.
    3. Convert the result back to a mixed number if necessary.
  • Example: 2 1/4 + 1 3/4 =?, convert to improper fractions: 9/4 + 7/4 = 16/4, convert back to a mixed number: 4 0/4 = 4

Improper Fractions

  • An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
  • To convert an improper fraction to a mixed number, divide the numerator by the denominator and find the remainder.
  • Example: 7/4 =?, divide 7 by 4, quotient is 1, remainder is 3, so the mixed number is 1 3/4
  • To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator.
  • Example: 2 1/4 =?, multiply 2 by 4 and add 1, result is 9/4

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