Simplify the following fraction to lowest terms. 288 24 \frac{288}{24}

this problem, we're asked to simplify the following fraction to lowest terms. The fraction that we're given here is 288 over 24. Now looking at this fraction, it might be a bit intimidating to think of how to write this in lowest terms. But remember, we don't have to know the greatest common factor right off the bat. We can choose any factor to start with and simply work in stages, continuing on until our numerator and denominator have no remaining common factors. So let's start with what's the easiest factor to recognize that these two values have in common. Both two hundred and eighty eight and twenty four are even numbers. So that means they're both going to be divisible by two. In other words, they both have a factor of two. So let's factor our numerator and denominator here using that common factor of two. If I take 288, I can rewrite it as 144 times two. And I can rewrite 24 as 12 times two. Now, this will allow those twos to cancel because two over two is simply one. So I can rewrite this fraction as 144 over 12. Now it might be a bit more clear to see how this fraction reduces to lowest terms. Because you might recognize that 144 can be written as 12 times 12. And I can rewrite 12 as simply 12 times one. So now I can see that these two values have a common factor of 12. So 12 over 12 cancels out because it just goes to one, leaving me with just 12 over one. So I can keep that as a fraction 12 over one, or more simply I can simply rewrite this as the value 12. Let us know if you have any questions, and I'll see you in the next one to keep practicing.

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1. Review of Real Numbers2h 43m

Simplifying Fractions
30m

Evaluating Exponents
29m

Evaluating Expressions
15m

Translating Phrases to Expressions
16m

Translating Sentences to Equations
9m

The Distributive Property
17m

Simplifying Expressions
44m

2. Linear Equations and Inequalities5h 35m

Solving Linear Equations
2h 23m

Linear Inequalities in One Variable
46m

Set Operations and Compound Inequalities
1h 7m

Absolute Value Equations
38m

Absolute Value Inequalities
39m

3. Solving Word Problems2h 46m

Introduction to Problem Solving
37m

Formulas
25m

Percent Problem Solving
59m

Mixture Problem Solving
43m

4. Graphs and Functions5h 12m

The Rectangular Coordinate System
44m

Graph Linear Equations in Two Variables
24m

Graph Linear Equations Using Intercepts
23m

Slope of a Line
44m

Slope-Intercept Form
38m

Point Slope Form
22m

Linear Inequalities in Two Variables
28m

Introduction to Relations and Functions
53m

Function Notation
15m

Composition of Functions
17m

5. Systems of Linear Equations1h 53m

Solving Systems of Linear Equations by Graphing
29m

Solving Systems of Linear Equations by Substitution
15m

Solving Systems of Linear Equations by Elimination
45m

Systems of Linear Inequalities
23m

6. Exponents, Polynomials, and Polynomial Functions3h 17m

The Product Rule
9m

The Quotient Rule
10m

Intro to the Power Rules
17m

The Power of a Quotient Rule
13m

Negative Exponents
24m

Simplifying Exponential Expressions Using All Exponent Rules
6m

Intro to Polynomials
21m

Adding and Subtracting Polynomials
20m

Multiplying Polynomials
38m

Special Products
34m

7. Factoring2h 49m

Factoring by Greatest Common Factor & Grouping
38m

Factoring Trinomials of the Form x² + bx + c
11m

Factoring Trinomials of the Form ax² + bx + c
37m

Factoring Special Products
41m

Quadratic Equations & Applications
41m

8. Rational Expressions and Functions3h 44m

Simplifying Rational Expressions
42m

Multiplying and Dividing Rational Expressions
25m

Adding and Subtracting Rational Expressions with Common Denominators
19m

Least Common Denominators
32m

Adding and Subtracting Rational Expressions with Different Denominators
32m

Rational Equations
44m

Direct & Inverse Variation
27m

9. Roots, Radicals, and Complex Numbers3h 57m

Introduction to Radical Expressions
47m

Simplifying Radical Expressions
47m

Adding and Subtracting Radicals
19m

Multiplying, Dividing, and Rationalizing Radicals
53m

Introduction to Complex Numbers
18m

Multiplying and Dividing Complex Numbers
51m

10. Quadratic Equations and Functions3h 1m

The Square Root Property
25m

Completing the Square
26m

The Quadratic Formula
40m

Graphing Quadratic Equations
1h 28m

11. Inverse, Exponential, & Logarithmic Functions2h 30m

Introduction to Inverse Functions
25m

Exponential Functions
35m

Introduction to Logarithmic Functions
33m

Properties of Logarithms
54m

12. Conic Sections & Systems of Nonlinear Equations2h 24m

Graphing Circles
32m

Ellipses
35m

Parabolas
35m

Hyperbolas
41m

13. Sequences, Series, and the Binomial Theorem1h 50m

Introduction to Sequences
40m

Arithmetic Sequences
27m

Geometric Sequences
29m

Factorials
13m

1. Review of Real Numbers

Simplifying Fractions

Intermediate Algebra

1. Review of Real Numbers

Simplifying Fractions

Problema precedenteProssimo problema

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Simplify the following fraction to lowest terms.
$288 over 24$

$144 over 24$

$14$

$18$

$12$

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Problema precedenteProssimo problema

Guida verificata passo dopo passo

Start with the fraction $ \frac{288}{24} $. Our goal is to simplify this fraction to its lowest terms.

Find the greatest common divisor (GCD) of the numerator (288) and the denominator (24). The GCD is the largest number that divides both 288 and 24 without leaving a remainder.

Divide both the numerator and the denominator by the GCD. This means you will calculate $ \frac{288 \div \text{GCD}}{24 \div \text{GCD}} $.

After dividing, write down the simplified fraction. If the denominator becomes 1, the fraction simplifies to just the numerator as a whole number.

Verify your answer by multiplying the simplified numerator and denominator back by the GCD to ensure you get the original fraction $ \frac{288}{24} $.