Begin by isolating the  factors:

Now, the common denominator of these two fractions is .  Therefore, multiply  by :

Now, you can subtract the left values:

Now, multiply both sides by :

Just like adding fractions, when you subtract fractions, you need to find a common denominator. For  and , the least common denominator is . In order to do your subtraction, you need to multiply appropriately to give your fractions this denominator:

Which is the same as...

Now, you can subtract the numerators and retain the denominator:

First, consider each quantity separately.

Quantity A

These two fractions do not have a common factor. Their common denominator is . Thus, we multiply the fractions as follows to give them a common denominator:

This is the same as:

Quantity B

The common denominator of these two values is .  Therefore, you multiply the fractions as follows to give them a common denominator:

This is the same as:

Since Quantity A is larger than  and Quantity B is a positive fraction less than , we know that Quantity A is larger without even using a calculator.

122 students are going to Saint Louis University. To answer this question, the following equation can be used: 340*(9/10)*(2/5) .  This is then rounded down to 122 students attending Saint Louis University. 

The least common multiple of 4 and 6 is 12.

So we know if  of the number is  then 

 of the number is 

.

So then it follows that

of the number is 

.

First we want to find the fraction of employees that neither take the bus nor drive, so we’ll add the fractions that do take the bus or drive and subtract that result from the total.

Bus:

Drive:

Remaining:

Now we need the fraction representing one third of these remaining employees (the fraction that ride a bike). Since "of " means multiply, we'll multiply.

Multiplying fractions is very easy. All you do is multiply all the numerators by each other and all the denominators by each other. You do not have to do anything that has to do with fancy common denominators like you do for adding and subtracting. For a question like this, it is often easiest just to cancel factors before you start your final multiplication. First, note:

Now, cancel the  from the :

Next, the  in the numerator cancels with the  in the denominator:

Finally, the  in the numerator cancels with the  in the denominator:

Multiplying fractions is very easy. All you do is multiply all the numerators by each other and all the denominators by each other. You do not have to do anything that has to do with fancy common denominators like you do for adding and subtracting. For a question like this, it is often easiest just to cancel factors before you start your final multiplication. First, note:

Now, cancel the  in the denominator with the  in the numerator:

Next, the  in the numerator cancels with the  in the denominator:

Finally, cancel the  in the denominator with the  in the numerator:

Begin by distributing the group on the left side of the equation. Remember that it is easy to multiply fractions. You only need to multiply the denominators and numerators. There are no "fancy" steps in between.

Therefore,

is the same as:

You can cancel part of the second fraction out, so you get:

Now, subtract  from both sides:

Simplifying the right side of the equation, you get...

Now, multiply both sides by :

Simplify: