Simplify the following fraction to lowest terms. ( C ) 28 56 \frac{28}{56}

This problem, we're asked to simplify the following fraction to lowest terms. And the fraction that we're given here is 28 over 56. Remember to write in lowest terms means that our numerator and denominator have no common factors. We want to be able to cancel all of them out. Now in order to write in lowest terms, you don't have to recognize the greatest common factor between your numerator and denominator right away. You can simply recognize any common factor and continue working in stages until your numerator and denominator have no remaining common factors. Now there are multiple different common factors that you may recognize right off the bat. For me, when I see the numbers twenty eight and fifty six, the factor that I think of them as having in common is seven. Because I know that 28 is simply seven times four, and fifty six is seven times eight. So having factored these values as seven times four and seven times eight, I can see that seven and seven will cancel out because that just goes to one. This leaves me with four over eight, but these values still have remaining factors because four is simply four times one and eight is four times two. So this allows me to cancel out four over four because that goes to one, leaving me with just one over two. Now my numerator and my denominator, one and two, have no remaining common factors. So this is my fraction in lowest terms. Now you might have used a different common factor in order to get here. You might have already recognized that 56 is simply 28 times two and gone straight from 28 over 56 to one half. And if you did, that's great. But remember that you can recognize any common factor in order to simplify fractions. Don't feel like you have to recognize the largest one right away. Let us know if you have any questions, and I'll see you soon.

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1. Review of Real Numbers2h 39m

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
40m

2. Linear Equations and Inequalities3h 38m

The Addition and Subtraction Properties of Equality
41m

The Multiplication and Division Properties of Equality
30m

Solving Linear Equations
1h 14m

Linear Inequalities in One Variable
1h 11m

3. Solving Word Problems2h 43m

Introduction to Problem Solving
37m

Formulas
21m

Percent Problem Solving
59m

Mixture Problem Solving
43m

4. Graphing Linear Equations in Two Variables3h 17m

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

5. Systems of Linear Equations1h 43m

Solving Systems of Linear Equations by Graphing
41m

Solving Systems of Linear Equations by Substitution
15m

Solving Systems of Linear Equations by Elimination
45m

6. Exponents and Polynomials3h 25m

The Product Rule
10m

The Quotient Rule
13m

Intro to the Power Rules
18m

The Power of a Quotient Rule
18m

Negative Exponents
28m

Simplifying Exponential Expressions Using All Exponent Rules
6m

Intro to Polynomials
21m

Adding and Subtracting Polynomials
20m

Multiplying Polynomials
33m

Special Products
34m

7. Factoring2h 42m

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
33m

Quadratic Equations & Applications
41m

8. Rational Expressions and Equations3h 13m

Simplifying Rational Expressions
39m

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

9. Inequalities and Absolute Value2h 52m

Set Operations and Compound Inequalities
42m

Absolute Value Equations
38m

Absolute Value Inequalities
39m

Linear Inequalities in Two Variables
28m

Systems of Linear Inequalities
23m

10. Relations and Functions2h 9m

Introduction to Relations and Functions
57m

Function Notation
15m

Graphing Common Functions
5m

Composition of Functions
24m

Direct & Inverse Variation
27m

11. 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

12. Quadratic Equations and Functions3h 1m

The Square Root Property
25m

Completing the Square
26m

The Quadratic Formula
40m

Graphing Quadratic Equations
1h 28m

13. Inverse, Exponential, & Logarithmic Functions2h 31m

Introduction to Inverse Functions
25m

Exponential Functions
35m

Introduction to Logarithmic Functions
33m

Properties of Logarithms
55m

14. Conic Sections & Systems of Nonlinear Equations2h 24m

Graphing Circles
32m

Ellipses
35m

Parabolas
35m

Hyperbolas
41m

15. Sequences, Series, and the Binomial Theorem1h 45m

Introduction to Sequences
40m

Arithmetic Sequences
27m

Geometric Sequences
26m

Factorials
11m

1. Review of Real Numbers

Simplifying Fractions

Beginning & Intermediate Algebra

1. Review of Real Numbers

Simplifying Fractions

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Simplify the following fraction to lowest terms.
(C) $28 over 56$

$2$

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{2}{3}$

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Problema precedenteProssimo problema

Guida verificata passo dopo passo

Identify the fraction to simplify: $\frac{28}{56}$.

Find the greatest common divisor (GCD) of the numerator (28) and the denominator (56). The GCD is the largest number that divides both 28 and 56 without leaving a remainder.

Divide both the numerator and the denominator by the GCD to reduce the fraction to its lowest terms. This means calculating $\frac{28 \div \text{GCD}}{56 \div \text{GCD}}$.

Write the simplified fraction after division. This fraction will have the same value as the original but with smaller numerator and denominator.

Verify that the simplified fraction cannot be reduced further by checking if the numerator and denominator share any common factors other than 1.