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

We know that the bar could be represented as:

, where represents . Now, we know that . The remaining apples and soy comprise of the bar. Now, the apples are one third of that remaining . (This is italicized because it is very important. The common error will be to think that it they are one third of the whole bar.) So, we know apples then are:

Thus, we can compute the soy by subtracting that from the :

Now the ratio of fiber to soy is:

Multiply both factors by to simplify:

A pie is made up of crust, apples, sugar, and the rest is jelly. What is the ratio of crust to jelly?

To compute this ratio, you must first ascertain how much of the pie is jelly. This is:

Begin by using the common denominator :

So, the ratio of crust to jelly is:

This can be written as the fraction:

, or

This problem is really an easy fraction division. You should first divide the lemon juice amount by the water amount:

Remember, to divide fractions, you multiply by the reciprocal:

This is the same as saying:

To find a ratio like this, you simply need to make the fraction that represents the division of the two values by each other. Therefore, we have:

Recall that division of fractions requires you to multiply by the reciprocal:

,

which is the same as:

This is the same as the ratio:

Begin by manipulating the ratios into whole numbers. Let's begin with the ratio of seniors to freshmen. For every three-eights of a senior, there is one-half of a freshman:

In order to get rid of the denominators, multiply both sides by 8. Then our ratio becomes

or

.

For every three seniors, there are four freshmen. Now let's do freshman to junior:

Multiply both sides by four to get rid of the denominator. Our ratio now becomes

.

For every 8 freshmen, there are 3 juniors. To find our final ratio, let's combine our previous two ratios by finding a common term (in this case freshmen). Because the ratio of seniors to freshmen is 3:4 and the ratio of juniors to freshmen is juniors is 8:3, multiply both sides of the first ratio to make the freshmen terms match.

Our new ratios now look like this:

6 seniors: 8 freshmen

8 freshmen: 3 juniors

Combine the two ratios using the common term:

6 seniors: 8 freshmen: 3 juniors

Take out the middle term:

6 seniors: 3 juniors

Therefore the ratio of seniors to juniors is making the ratio of juniors to seniors .

This problem is really an easy fraction division. You should first divide the lemon juice amount by the water amount:

Remember, to divide fractions, you multiply by the reciprocal:

This is the same as saying:

First, you need to compute the amount of cucumbers used for the salad. A whole salad can be represented as (like ). Thus, you know:

First, simplify the part of the equation to the left of the equals sign:

Thus, the ratio of lettuce to cucumbers is:

This can be simplified by multiplying both sides by :

We know that the bar could be represented as:

, where represents . Now, we know that . The remaining apples and soy comprise of the bar. Now, the apples are one third of that remaining . (This is italicized because it is very important. The common error will be to think that it they are one third of the whole bar.) So, we know apples then are:

Thus, we can compute the soy by subtracting that from the :

Now the ratio of fiber to soy is:

Multiply both factors by to simplify:

A pie is made up of crust, apples, sugar, and the rest is jelly. What is the ratio of crust to jelly?

To compute this ratio, you must first ascertain how much of the pie is jelly. This is:

Begin by using the common denominator :

So, the ratio of crust to jelly is:

This can be written as the fraction:

, or

To find a ratio like this, you simply need to make the fraction that represents the division of the two values by each other. Therefore, we have:

Recall that division of fractions requires you to multiply by the reciprocal:

,

which is the same as:

This is the same as the ratio:

Begin by manipulating the ratios into whole numbers. Let's begin with the ratio of seniors to freshmen. For every three-eights of a senior, there is one-half of a freshman:

In order to get rid of the denominators, multiply both sides by 8. Then our ratio becomes

or

.

For every three seniors, there are four freshmen. Now let's do freshman to junior:

Multiply both sides by four to get rid of the denominator. Our ratio now becomes

.

For every 8 freshmen, there are 3 juniors. To find our final ratio, let's combine our previous two ratios by finding a common term (in this case freshmen). Because the ratio of seniors to freshmen is 3:4 and the ratio of juniors to freshmen is juniors is 8:3, multiply both sides of the first ratio to make the freshmen terms match.

Our new ratios now look like this:

6 seniors: 8 freshmen

8 freshmen: 3 juniors

Combine the two ratios using the common term:

6 seniors: 8 freshmen: 3 juniors

Take out the middle term:

6 seniors: 3 juniors

Therefore the ratio of seniors to juniors is making the ratio of juniors to seniors .

First, you need to compute the amount of cucumbers used for the salad. A whole salad can be represented as (like ). Thus, you know:

First, simplify the part of the equation to the left of the equals sign:

Thus, the ratio of lettuce to cucumbers is:

This can be simplified by multiplying both sides by :

We know that the bar could be represented as:

, where represents . Now, we know that . The remaining apples and soy comprise of the bar. Now, the apples are one third of that remaining . (This is italicized because it is very important. The common error will be to think that it they are one third of the whole bar.) So, we know apples then are:

Thus, we can compute the soy by subtracting that from the :

Now the ratio of fiber to soy is:

Multiply both factors by to simplify:

A pie is made up of crust, apples, sugar, and the rest is jelly. What is the ratio of crust to jelly?

To compute this ratio, you must first ascertain how much of the pie is jelly. This is:

Begin by using the common denominator :

So, the ratio of crust to jelly is:

This can be written as the fraction:

, or

This problem is really an easy fraction division. You should first divide the lemon juice amount by the water amount:

Remember, to divide fractions, you multiply by the reciprocal:

This is the same as saying:

To find a ratio like this, you simply need to make the fraction that represents the division of the two values by each other. Therefore, we have:

Recall that division of fractions requires you to multiply by the reciprocal:

,

which is the same as:

This is the same as the ratio:

Begin by manipulating the ratios into whole numbers. Let's begin with the ratio of seniors to freshmen. For every three-eights of a senior, there is one-half of a freshman:

In order to get rid of the denominators, multiply both sides by 8. Then our ratio becomes

or

.

For every three seniors, there are four freshmen. Now let's do freshman to junior:

Multiply both sides by four to get rid of the denominator. Our ratio now becomes

.

For every 8 freshmen, there are 3 juniors. To find our final ratio, let's combine our previous two ratios by finding a common term (in this case freshmen). Because the ratio of seniors to freshmen is 3:4 and the ratio of juniors to freshmen is juniors is 8:3, multiply both sides of the first ratio to make the freshmen terms match.

Our new ratios now look like this:

6 seniors: 8 freshmen

8 freshmen: 3 juniors

Combine the two ratios using the common term:

6 seniors: 8 freshmen: 3 juniors

Take out the middle term:

6 seniors: 3 juniors

Therefore the ratio of seniors to juniors is making the ratio of juniors to seniors .

First, you need to compute the amount of cucumbers used for the salad. A whole salad can be represented as (like ). Thus, you know:

First, simplify the part of the equation to the left of the equals sign:

Thus, the ratio of lettuce to cucumbers is:

This can be simplified by multiplying both sides by :

We know that the bar could be represented as:

, where represents . Now, we know that . The remaining apples and soy comprise of the bar. Now, the apples are one third of that remaining . (This is italicized because it is very important. The common error will be to think that it they are one third of the whole bar.) So, we know apples then are:

Thus, we can compute the soy by subtracting that from the :

Now the ratio of fiber to soy is:

Multiply both factors by to simplify: