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?

A fraction with the same denominator and the sum of the numerators Signup and view all the answers

What is the rule for subtracting fractions?

Find a common denominator and then subtract the numerators Signup and view all the answers

What should be done after adding or subtracting fractions?

Check for simplification by finding any numbers that divide evenly into both the numerator and denominator Signup and view all the answers

What is the purpose of the lowest common denominator?

To make the denominators the same Signup and view all the answers

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

By multiplying both the numerator and denominator by two Signup and view all the answers

What is the result of finding a common denominator?

Equivalent fractions with the same denominator Signup and view all the answers

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

To create imagery and convey emotions in a more engaging way Signup and view all the answers

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

Like and as Signup and view all the answers

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

To make complex ideas more relatable and accessible Signup and view all the answers

What is the purpose of a simile?

To create a vivid and memorable image in the reader's mind Signup and view all the answers

What is an example of a simile?

Her eyes are as blue as the ocean Signup and view all the answers

What is true about similes in literature?

They are used extensively in literature Signup and view all the answers

What is the effect of using similes in writing?

It makes the writing more engaging and memorable Signup and view all the answers

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

A simile uses the words 'like' or 'as', while a literal comparison does not Signup and view all the answers

What is the purpose of using similes in everyday conversation?

To create a vivid and memorable image in the listener's mind Signup and view all the answers

What is a characteristic of a simile?

It uses the words 'like' or 'as' to compare two things Signup and view all the answers

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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Description

Learn how to add and subtract fractions with different denominators by finding the lowest common denominator and creating equivalent fractions. Practice simplifying fractions after addition and subtraction. Master the rules for adding and subtracting fractions with confidence!