How to find the solution to a rational equation with LCD - ACT Math
Card 0 of 5
In the equation below, 
, 
, and 
are non-zero numbers. What is the value of 
in terms of 
and 
?
In the equation below,
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John, Jill, and Jack are splitting a pizza. John eats 
of the pizza and Jill eats 
of the pizza. How much of the pizza is left for Jack?
John, Jill, and Jack are splitting a pizza. John eats
We can write an equation for the amount of pizza eaten, with 
as the amount left for Jack.
To solve this equation, we must find the lowest common denominator of 
and 
. We can list the multiples of 
and 
to find the least common multiple:
We can see that the least common multiple of 
and 
is 
, so we can rewrite each of the fractions with a denominator of 
.
When we put these fractions back into the equation, we can solve for 
:
We can write an equation for the amount of pizza eaten, with
To solve this equation, we must find the lowest common denominator of
We can see that the least common multiple of
When we put these fractions back into the equation, we can solve for
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What is the slope of a line represented by the equation:
What is the slope of a line represented by the equation:
To solve problems where you need to find the slope of a line in a given equation, change the equation so that it matches y-intercept form:
For this equation, first move the 3x over to the other side of the equation.
The equation should now look like this:
Then, divide by 15 to isolate the variable 
.
Then simplify
Whatever number is before the x in the equation (m) is your slope.
To solve problems where you need to find the slope of a line in a given equation, change the equation so that it matches y-intercept form:
For this equation, first move the 3x over to the other side of the equation.
The equation should now look like this:
Then, divide by 15 to isolate the variable
Then simplify
Whatever number is before the x in the equation (m) is your slope.
Compare your answer with the correct one above