Fractions: Like, Unlike, and Unit Fractions

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?

$3 \frac{1}{2}$ Signup and view all the answers

Identify the proper fraction from the following options.

$\frac{2}{3}$ Signup and view all the answers

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

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 $rac{1}{4}$. Signup and view all the answers

What defines a unit fraction and give two examples?

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

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

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

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

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 $2rac{1}{4}$. Signup and view all the answers

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

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

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.

Description

Test your knowledge on various types of fractions including like, unlike, unit, proper, improper, and mixed fractions. This quiz will help you understand the differences and examples of these categories, enhancing your fraction skills.