Fractions: Like, Unlike, and Unit Fractions

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Which of the following fractions is a like fraction?

  • $\frac{5}{7}$
  • $\frac{3}{4}$ (correct)
  • $\frac{1}{4}$
  • $\frac{2}{3}$

Which fraction is an example of a unit fraction?

  • $\frac{1}{5}$ (correct)
  • $\frac{4}{9}$
  • $\frac{5}{8}$
  • $\frac{3}{7}$

Which of the following is an improper fraction?

  • $\frac{9}{8}$ (correct)
  • $\frac{2}{7}$
  • $\frac{4}{6}$
  • $\frac{3}{5}$

What represents a mixed fraction?

<p>$3 \frac{1}{2}$ (D)</p> Signup and view all the answers

Identify the proper fraction from the following options.

<p>$\frac{2}{3}$ (B)</p> Signup and view all the answers

Explain the difference between like and unlike fractions and provide an example of each.

<p>Like fractions have the same denominator, while unlike fractions have different denominators. For example, like fractions are $ rac{4}{7}$ and $ rac{3}{7}$; unlike fractions are $ rac{2}{3}$ and $ rac{1}{4}$.</p> Signup and view all the answers

What defines a unit fraction and give two examples?

<p>A unit fraction is defined by having 1 as the numerator. Examples include $ rac{1}{3}$ and $ rac{1}{5}$.</p> Signup and view all the answers

Describe proper fractions, and give two examples along with their characteristics.

<p>Proper fractions are those where the numerator is less than the denominator. Examples are $ rac{2}{5}$ and $ rac{3}{8}$.</p> Signup and view all the answers

What is an improper fraction and how can it be expressed as a mixed fraction? Provide an example.

<p>An improper fraction has a numerator greater than or equal to the denominator, like $ rac{9}{4}$, which can be expressed as the mixed fraction $2 rac{1}{4}$.</p> Signup and view all the answers

Define a mixed fraction and provide an example, along with its relationship to improper fractions.

<p>A mixed fraction combines a whole number and a proper fraction, such as $2 rac{3}{5}$. It represents the same value as the improper fraction $ rac{13}{5}$.</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Like and Unlike Fractions

  • Like fractions share the same denominator.
  • Example of like fractions: 4/7, 12/7, and 36/7.
  • Unlike fractions have different denominators.
  • Example of unlike fractions: 2/7, 1/13, 4/9, 3/5, and 11/8.

Unit Fractions

  • A unit fraction has a numerator of 1.
  • Examples of unit fractions include: 1/3, 1/5, 1/7, 1/9, and 1/11.

Proper, Improper, and Mixed Fractions

  • Proper fractions have numerators that are less than their denominators.
  • Examples of proper fractions: 5/7, 3/11, 11/9, 16/15, and 11/7.
  • Improper fractions have numerators that are greater than or equal to their denominators.
  • Examples of improper fractions: 11/9, 23/12, 14/11, 20/13, and 11/11.
  • Improper fractions can be converted to mixed fractions, which combine a whole number with a proper fraction.
  • Example: An improper fraction like 3/2 can be expressed as 1 1/2 in mixed form.

Like and Unlike Fractions

  • Like fractions share the same denominator.
  • Example of like fractions: 4/7, 12/7, and 36/7.
  • Unlike fractions have different denominators.
  • Example of unlike fractions: 2/7, 1/13, 4/9, 3/5, and 11/8.

Unit Fractions

  • A unit fraction has a numerator of 1.
  • Examples of unit fractions include: 1/3, 1/5, 1/7, 1/9, and 1/11.

Proper, Improper, and Mixed Fractions

  • Proper fractions have numerators that are less than their denominators.
  • Examples of proper fractions: 5/7, 3/11, 11/9, 16/15, and 11/7.
  • Improper fractions have numerators that are greater than or equal to their denominators.
  • Examples of improper fractions: 11/9, 23/12, 14/11, 20/13, and 11/11.
  • Improper fractions can be converted to mixed fractions, which combine a whole number with a proper fraction.
  • Example: An improper fraction like 3/2 can be expressed as 1 1/2 in mixed form.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Adding Fractions: A Delicious Math Exercise
10 questions
Adding Two Fractions Quiz
8 questions
Adding Proper Fractions
10 questions

Adding Proper Fractions

EthicalPearTree8713 avatar
EthicalPearTree8713
Use Quizgecko on...
Browser
Browser