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 :)

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Step-by-step explanation:

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John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

Monica [59]

The system of inequalities is: $x\geq 3$ and $12x+7y\leq 63$

Explanation

Let $x$ be the amount of live bait and $y$ be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be: $x\geq 3$

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying $x$ pound of live bait $=\$12x$ and the cost for buying $y$ pound of natural bait $=\$7y$