How to find the reciprocal of a fraction - GRE Quantitative Reasoning

Begin by finding the reciprocal of , the reciprocal of , and the reciprocal of :

, ,

In order to add the four terms together, we will need to find a common denominator. Find the common denominator by multiplying the three different terms in the denominator (x, y, and z). Our common denominator will be . Put each term into terms of this common denominator:

Now, add each term together:

Look for the answer choice that matches this.

To find the reciprocal of a rational expression--any rational expression--all you need to do is flip the numerator and the denominator.

Therefore, the correct answer is:

You can check this by multiplying the two expressions together and ensuring that your answer is .

To find the reciprocal of any fraction, you merely need to invert the numerator and denominator.

In this case, first you have to convert the mixed number into a fraction:

Therefore, the answer is:

Write their respective rates as fractions:

Carpenter A: $\frac{1 table}{45 hours}$

Carpenter B: $\frac{1 table}{30 hours}$

Add them together to find their combined rate. First find a common denominator. The smallest multiple of both 45 and 30 is 90:

$\frac{2}{90}$+\frac{3}{90}$=\frac{5}{90}$=\frac{1 table}{18 hours}$

Therefore, they take 18 hours to build a table together.

Begin by finding the reciprocal of , the reciprocal of , and the reciprocal of :

, ,

In order to add the four terms together, we will need to find a common denominator. Find the common denominator by multiplying the three different terms in the denominator (x, y, and z). Our common denominator will be . Put each term into terms of this common denominator:

Now, add each term together:

Look for the answer choice that matches this.

To find the reciprocal of a rational expression--any rational expression--all you need to do is flip the numerator and the denominator.

Therefore, the correct answer is:

You can check this by multiplying the two expressions together and ensuring that your answer is .

To find the reciprocal of any fraction, you merely need to invert the numerator and denominator.

In this case, first you have to convert the mixed number into a fraction:

Therefore, the answer is:

Write their respective rates as fractions:

Carpenter A: $\frac{1 table}{45 hours}$

Carpenter B: $\frac{1 table}{30 hours}$

Add them together to find their combined rate. First find a common denominator. The smallest multiple of both 45 and 30 is 90:

$\frac{2}{90}$+\frac{3}{90}$=\frac{5}{90}$=\frac{1 table}{18 hours}$

Therefore, they take 18 hours to build a table together.

Begin by finding the reciprocal of , the reciprocal of , and the reciprocal of :

, ,

In order to add the four terms together, we will need to find a common denominator. Find the common denominator by multiplying the three different terms in the denominator (x, y, and z). Our common denominator will be . Put each term into terms of this common denominator:

Now, add each term together:

Look for the answer choice that matches this.

To find the reciprocal of a rational expression--any rational expression--all you need to do is flip the numerator and the denominator.

Therefore, the correct answer is:

You can check this by multiplying the two expressions together and ensuring that your answer is .

To find the reciprocal of any fraction, you merely need to invert the numerator and denominator.

In this case, first you have to convert the mixed number into a fraction:

Therefore, the answer is:

Write their respective rates as fractions:

Carpenter A: $\frac{1 table}{45 hours}$

Carpenter B: $\frac{1 table}{30 hours}$

Add them together to find their combined rate. First find a common denominator. The smallest multiple of both 45 and 30 is 90:

$\frac{2}{90}$+\frac{3}{90}$=\frac{5}{90}$=\frac{1 table}{18 hours}$

Therefore, they take 18 hours to build a table together.

Begin by finding the reciprocal of , the reciprocal of , and the reciprocal of :

, ,

In order to add the four terms together, we will need to find a common denominator. Find the common denominator by multiplying the three different terms in the denominator (x, y, and z). Our common denominator will be . Put each term into terms of this common denominator:

Now, add each term together:

Look for the answer choice that matches this.

To find the reciprocal of a rational expression--any rational expression--all you need to do is flip the numerator and the denominator.

Therefore, the correct answer is:

You can check this by multiplying the two expressions together and ensuring that your answer is .

To find the reciprocal of any fraction, you merely need to invert the numerator and denominator.

In this case, first you have to convert the mixed number into a fraction:

Therefore, the answer is:

Write their respective rates as fractions:

Carpenter A: $\frac{1 table}{45 hours}$

Carpenter B: $\frac{1 table}{30 hours}$

Add them together to find their combined rate. First find a common denominator. The smallest multiple of both 45 and 30 is 90:

$\frac{2}{90}$+\frac{3}{90}$=\frac{5}{90}$=\frac{1 table}{18 hours}$

Therefore, they take 18 hours to build a table together.

Begin by finding the reciprocal of , the reciprocal of , and the reciprocal of :

, ,

In order to add the four terms together, we will need to find a common denominator. Find the common denominator by multiplying the three different terms in the denominator (x, y, and z). Our common denominator will be . Put each term into terms of this common denominator:

Now, add each term together:

Look for the answer choice that matches this.

To find the reciprocal of a rational expression--any rational expression--all you need to do is flip the numerator and the denominator.

Therefore, the correct answer is:

You can check this by multiplying the two expressions together and ensuring that your answer is .

To find the reciprocal of any fraction, you merely need to invert the numerator and denominator.

In this case, first you have to convert the mixed number into a fraction:

Therefore, the answer is: