All ISEE Middle Level Math Resources
Example Questions
Example Question #23 : How To Divide Fractions
What is the value of in this equation?
In order to solve , the latter fraction must be inverted and then multiplied by the first fraction, as shown below:
Example Question #22 : How To Divide Fractions
One euro is worth approximately $1.27. For how many euros (nearest whole) can an American tourist expect to exchange $1,000?
One Euro is equivalent to $1.27, so divide the number of dollars by this conversion factor. $1,000 is equivalent to
euros
Example Question #23 : How To Divide Fractions
One Mexican peso is equal to about 7.4 cents. To the nearest whole number, for how many pesos can a tourist to Mexico expect to exchange $500?
One peso is equivalent to 7.4 cents, or $0.074, so divide $500 dollars by this conversion factor. $500 is equivalent to
pesos.
Example Question #21 : Fractions
What is the solution to the expression below?
When one fraction is being divided by another, the latter fraction must be inverted. The numerators are then multiplied together, and the denominators are also multiplied by each other.
Example Question #26 : How To Divide Fractions
Divide.
Multiply the first fraction by the reciprocal of the second fraction.
Example Question #24 : How To Divide Fractions
Simplify the following expression:
Simplify the following expression:
To divide fractions, we must multiply by the reciprocal.
That means that we should first flip our second fraction. (This is called taking the reciprocal
Next, we can simplify by dividing the smaller numbers on the left out of the bigger numbers on the right.
So our answer is:
Example Question #31 : How To Divide Fractions
Simplify the following expression:
Simplify the following expression:
To divide fractions, we need to multiply by the reciprocal. This means that we flip the second fraction and then multiply:
Before multiplying, simplify the two fractions by factoring out a seven from the 42 and the 35. We can do this, because they are on opposite sides of the fraction.
So we get an answer of:
Example Question #32 : How To Divide Fractions
Simplify the following:
To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction.
(Reciprocal simply means we will take the fraction and flip it. The numerator will become the denominator and the denominator will become the numerator.)
So,
will become
Now, we multiply.
Now, we can simplify. We can divide the numerator and the denominator by 3. We get
Example Question #33 : How To Divide Fractions
The reciprocal of is . What is the reciprocal of ?
The reciprocal of is , so is the reciprocal of , or
The reciprocal of this is 3.
Example Question #34 : How To Divide Fractions
Divide the following:
To divide fractions, we will simply turn it into multiplication. We will leave the first fraction alone. We will take the second fraction, and write the reciprocal. Then, we will multiply the two fractions together. We have
we will leave alone. We will take and write the reciprocal (flip the fraction, the numerator and denominator switch places). The reciprocal is . Now, we multiply.