Fractions: Addition and Subtraction Concepts
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Questions and Answers

What is the sum of 3/4 and 3/4?

6/4

What is the sum of 23/100 and 54/100?

77/100

What is the sum of 16/25 and 12/25?

28/25

What is the sum of 18/50 and 42/50?

<p>60/50</p> Signup and view all the answers

What is the sum of 1 7/11 and 3/11?

<p>2 10/11</p> Signup and view all the answers

What is the difference between 14/15 and 13/15?

<p>1/15</p> Signup and view all the answers

What is the difference between 6/9 and 5/9?

<p>1/9</p> Signup and view all the answers

What is the difference between 95/100 and 36/100?

<p>59/100</p> Signup and view all the answers

What is the difference between 30/50 and 22/50?

<p>8/50</p> Signup and view all the answers

What is the difference between 2 6/12 and 4/12?

<p>2 2/12</p> Signup and view all the answers

What is the difference between 114/30 and 113/30?

<p>1/30</p> Signup and view all the answers

What is the difference between 8/20 and 9/20?

<p>1/20</p> Signup and view all the answers

Flashcards

Adding fractions

Combining fractions that have the same denominator by adding the numerators.

Like denominators

Denominators that are the same, allowing for direct addition or subtraction of fractions.

Subtracting fractions

Removing one fraction from another, applicable when denominators are the same.

Fraction

A numerical representation of a part of a whole, expressed as a/b where 'a' is the numerator and 'b' is the denominator.

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Numerator

The top part of a fraction that represents how many parts we have.

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Denominator

The bottom part of a fraction that indicates how many equal parts the whole is divided into.

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Mixed number

A number consisting of an integer and a proper fraction combined, like 1 1/2.

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Improper fraction

A fraction where the numerator is greater than or equal to the denominator, such as 5/4.

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Simplifying fractions

The process of reducing a fraction to its simplest form where the numerator and denominator have no common factors.

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Equivalent fractions

Fractions that represent the same value, even if they look different, like 1/2 and 2/4.

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Study Notes

Adding Fractions (Like Denominators)

  • To add fractions with the same denominator, add the numerators and keep the denominator the same.
  • Example: 3/4 + 1/4 = (3 + 1)/4 = 4/4 = 1

Subtracting Fractions (Like Denominators)

  • To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same.
  • Example: 5/7 - 2/7 = (5 - 2)/7 = 3/7

Mixed Numbers

  • Mixed numbers combine a whole number and a fraction.
  • Example: 2 1/3 means 2 + 1/3
  • Add or subtract mixed numbers by first adding or subtracting the whole numbers and then adding or subtracting the fractions.

Bar Models

  • Diagrams used to represent the fractional parts of a whole number. They help visualize fraction operations.

Number Line

  • A tool for picturing fractions on a number line and visualizing distance between fractions. Helps with addition and subtraction.

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Description

This quiz covers the fundamental concepts of adding and subtracting fractions with like denominators, as well as working with mixed numbers. It also introduces visual tools like bar models and number lines to enhance understanding. Test your knowledge and skills in fraction operations!

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