The lcd of two fractions is always greater than the denominator of the fractions. Reasonable or not?

2 answers:

7 0

Lcd means least common denomenators
it is normally used to combine fractions with differnt denomenators

I can show 2 disproofs

so
they can be equal
conside
3/4 and 5/8
lcd is 8, 8>8 is false
not reasnable

they can be less if they arenot simplified
example
4/8 and 24/16
lcd is 4

not reasonable

satela [25.4K]3 years ago

3 0

It is not reasonable.
The LCD can be less than the denominators if the fractions are not in simplest form but the LCD can be equal to one of the fractions even if they are in simplest form, for example:
3/4 and 1/2

Hope this helps :)

You might be interested in

Express the total amount of fencing needed as an algebraic expression in x

professor190 [17]

Total amount of fencing
= 4x + 3(3x + 1)
= 4x + 9x + 3
= 13x + 3

7 0

3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$