Rule: (a/b)/(c/d)=(a/b)*(d/c)
(5/14)/(3/4)
(5/14)(4/3)
(5*4)/(14*3)
20/42
10/21
Where at the 39/19? or when you were trying to reduce 21/19
6.25 : 14
6.25 parts lemonade, 14 parts combined in both recipes
Caden: 3.75 : 8 for his recipe, 3.75 : 14 for all total ingredients
Samntha: 2.5 : 6 for her recipe, 2.5 : 14 for all total ingredients
The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
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Answer:
b
Step-by-step explanation:
