Adding and Subtracting Fractions with Different Denominators

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Questions and Answers

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

  • Find the greatest common divisor of the numerators
  • Add the numerators and keep the original denominators
  • List the multiples of each denominator and find the smallest number in common (correct)
  • Multiply the numerators and denominators by the same number

What is the purpose of finding the lowest common denominator?

  • To simplify the resulting fraction
  • To make the numerators the same
  • To subtract the fractions
  • To make the denominators of both fractions the same (correct)

How can an equivalent fraction be created with a different denominator?

  • By changing the denominator only
  • By multiplying or dividing both the numerator and denominator by the same number (correct)
  • By adding or subtracting the same number from the numerator and denominator
  • By changing the numerator only

What is the result of adding fractions with a common denominator?

<p>A fraction with the same denominator and the sum of the numerators (D)</p> Signup and view all the answers

What is the rule for subtracting fractions?

<p>Find a common denominator and then subtract the numerators (B)</p> Signup and view all the answers

What should be done after adding or subtracting fractions?

<p>Check for simplification by finding any numbers that divide evenly into both the numerator and denominator (C)</p> Signup and view all the answers

What is the purpose of the lowest common denominator?

<p>To make the denominators the same (D)</p> Signup and view all the answers

How can one fourth be rewritten as an equivalent fraction with a denominator of eight?

<p>By multiplying both the numerator and denominator by two (C)</p> Signup and view all the answers

What is the result of finding a common denominator?

<p>Equivalent fractions with the same denominator (D)</p> Signup and view all the answers

What is the primary function of simile in literature and everyday conversation?

<p>To create imagery and convey emotions in a more engaging way (D)</p> Signup and view all the answers

What words are most commonly used to connect two things in a simile?

<p>Like and as (B)</p> Signup and view all the answers

What is the result of using similes in literature and everyday conversation?

<p>To make complex ideas more relatable and accessible (B)</p> Signup and view all the answers

What is the purpose of a simile?

<p>To create a vivid and memorable image in the reader's mind (B)</p> Signup and view all the answers

What is an example of a simile?

<p>Her eyes are as blue as the ocean (C)</p> Signup and view all the answers

What is true about similes in literature?

<p>They are used extensively in literature (B)</p> Signup and view all the answers

What is the effect of using similes in writing?

<p>It makes the writing more engaging and memorable (B)</p> Signup and view all the answers

What is the difference between a simile and a literal comparison?

<p>A simile uses the words 'like' or 'as', while a literal comparison does not (B)</p> Signup and view all the answers

What is the purpose of using similes in everyday conversation?

<p>To create a vivid and memorable image in the listener's mind (C)</p> Signup and view all the answers

What is a characteristic of a simile?

<p>It uses the words 'like' or 'as' to compare two things (A)</p> Signup and view all the answers

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Study Notes

  • When adding fractions with a common denominator, the common denominator is kept, and the numerators are added together.
  • To add fractions with different denominators, a common denominator must be found, which can be done by listing the multiples of each denominator and finding the smallest number in common.
  • The lowest common denominator is used to make the denominator of both fractions the same.
  • To make equivalent fractions with a different denominator, both the numerator and denominator of the original fraction must be multiplied or divided by the same number.
  • For example, one fourth can be rewritten as an equivalent fraction with a denominator of eight by multiplying both the numerator and denominator by two, resulting in two eighths.
  • Once fractions have a common denominator, they can be added by keeping the common denominator and adding the numerators.
  • The rules for subtracting fractions are the same as for adding, requiring a common denominator to be found before subtracting the numerators.
  • When finding a common denominator, the lowest multiple that both denominators have in common is used.
  • Equivalent fractions can be created by multiplying or dividing both the numerator and denominator by the same number.
  • After adding or subtracting fractions, the resulting fraction should be checked for simplification by finding any numbers that divide evenly into both the numerator and denominator.
  • Simplification is done by dividing both the numerator and denominator by the common number to get a reduced equivalent fraction.

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