- #1
Spencer23
- 4
- 0
Hello,
Wondering how to simplify this fraction...
3/90 * (36x+54)
Wondering how to simplify this fraction...
3/90 * (36x+54)
Simplifying Algebraic fraction
- Context: MHB
- Thread starter Spencer23
- Start date
-
- Tags
- Fraction Simplifying
Click For Summary
Discussion Overview
The discussion revolves around simplifying an algebraic fraction presented in a specific format. Participants explore the expression and clarify its structure, aiming to assist in the simplification process.
Discussion Character
- Exploratory, Technical explanation, Conceptual clarification
Main Points Raised
- One participant seeks clarification on how to simplify the fraction
3/90 * (36x+54). - Another participant asks for clarification on the intended mathematical expression, presenting two possible interpretations.
- A participant provides a mathematical equivalence to illustrate the simplification process, suggesting that the expression can be rewritten in a different form.
- Another example is shared to demonstrate a similar simplification technique, showing how to factor and reduce an algebraic fraction.
- A later reply indicates that the original poster has gained understanding from the provided examples and explanations.
Areas of Agreement / Disagreement
Participants generally agree on the equivalence of the forms presented and the approach to simplification, but the initial expression's clarity remains a point of discussion.
Contextual Notes
The discussion includes assumptions about the format of the algebraic expression and the potential for different interpretations, which may affect the simplification process.
Who May Find This Useful
Individuals interested in algebraic simplification techniques, particularly those encountering non-standard formats in algebraic expressions.
- #2
anemone
Gold Member
MHB
POTW Director
- 3,851
- 115
Hi Spencer23, welcome to MHB!:)
Can you be a little bit more clear about the math expression that you've there, do you mean
1. $\dfrac{3}{90(36x+54)}$ or
2. $\dfrac{3(36x+54)}{90}$?
Can you be a little bit more clear about the math expression that you've there, do you mean
1. $\dfrac{3}{90(36x+54)}$ or
2. $\dfrac{3(36x+54)}{90}$?
- #3
- #4
MarkFL
Gold Member
MHB
- 13,284
- 12
The form in your attached image is equivalent to the second form given by anemone. This is because the following are equivalent:
$$\frac{a}{b}\cdot c=\frac{ac}{b}$$
For example, consider:
$$\frac{1}{2}\cdot4=\frac{1\cdot4}{2}=\frac{4}{2}=\frac{2\cdot\cancel{2}}{\cancel{2}}=2$$
Can you factor anything from the expression in parentheses?
$$\frac{a}{b}\cdot c=\frac{ac}{b}$$
For example, consider:
$$\frac{1}{2}\cdot4=\frac{1\cdot4}{2}=\frac{4}{2}=\frac{2\cdot\cancel{2}}{\cancel{2}}=2$$
Can you factor anything from the expression in parentheses?
- #5
anemone
Gold Member
MHB
POTW Director
- 3,851
- 115
Also, another example that might be helpful to be used as guidance would be the following:
$\dfrac{6+9}{12}$, it could be simplified further down by rewriting it as $\dfrac{2(3)+3(3)}{3(4)}=\dfrac{3(2+3)}{3(4)}=\dfrac{\cancel{3}(5)}{\cancel{3}(4)}=\dfrac{5}{4}$.
$\dfrac{6+9}{12}$, it could be simplified further down by rewriting it as $\dfrac{2(3)+3(3)}{3(4)}=\dfrac{3(2+3)}{3(4)}=\dfrac{\cancel{3}(5)}{\cancel{3}(4)}=\dfrac{5}{4}$.
- #6
Spencer23
- 4
- 0
Thanks guys , didnt realize it was the same as the example you gave... understand how its done now! Thank you both!
- #7
Jason85
- 2
- 0
Attachments
Similar threads
- · Replies 1 ·
- · Replies 8 ·
- · Replies 7 ·
- · Replies 2 ·
- · Replies 1 ·
- · Replies 7 ·
High School
What is the name of this type of fraction
- · Replies 2 ·
- · Replies 1 ·
- · Replies 4 ·
- · Replies 14 ·