# SSAT Elementary Level Math : How to find a ratio

## Example Questions

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### Example Question #1 : How To Find A Ratio

Determine the ratio of 6 to 36.

Explanation:

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

1) Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is 6 because 6 is the greatest number that goes into both numbers evenly.

2)  Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of 6 to 36 is .

### Example Question #2 : How To Find A Ratio

Determine the ratio of 12 to 32.

Explanation:

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

1) Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is 4 because 4 is the greatest number that goes into both numbers evenly.

2)  Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of 12 to 32 is .

### Example Question #3 : How To Find A Ratio

Riley gives Maddie  marbles, then gives Carl  marbles. He repeats this process several times.

At the end of this process, Maddie has  marbles. How many marbles does Carl have?

marbles

marbles

marbles

marbles

marbles

marbles

Explanation:

Divide the number of marbles Maddie has by the number she received per turn to find the number of times the process occurred.

, so the process occurred  times.

Set up a ratio of the number of marbles given to Maddie to the number of marbles given to Carl on each turn. This ratio would be .

We can find the number of marbles Carl has by multiplying the number of times the process occurred by the number of marbles he received each turn.

marbles.

### Example Question #4 : How To Find A Ratio

Which ratio is "20 to 60" written in simplest form?

Explanation:

1)   Divide both terms of the ratio by the greatest common factor. In this case, the greatest common factor is 20, because 20 is the largest number that goes into both numbers evenly.

2)   Show the ratio with a colon (:). Remember to keep the numbers in the correct order!

Therefore, 20 to 60 is equivalent to 1 : 3.

### Example Question #5 : How To Find A Ratio

Determine the ratio of 12 to 48 in simplest form.

Explanation:

1) Divide both terms of the ratio by the greatest common factor. In this case, the greatest common factor is 12, because 12 is the greatest number that goes into both numbers evenly.

2) Show the ratio with a colon (:), and remember to keep the numbers in the correct order.

Therefore, the ratio of 12 to 48 is .

### Example Question #6 : How To Find A Ratio

Simplify the ratio: 400 students to 25 teachers

Explanation:

A ratio can be simplified by dividing both numbers by their greatest common factor. Since 400 is divisible by 25, the GCF is 25.

The ratio, simplified, is .

### Example Question #7 : How To Find A Ratio

If there are 6 girls in a class and 12 boys in a class, what is the ratio of girls to boys in the class, in simplest form?

Explanation:

To find a ratio, divide the two numbers given until they are reduced to their lowest common factor, then put them into a ratio with a colon in between. Remember to order them in the way the question is asked!

6 (girls) and 12 (boys) can both be divided by 6:

For every girl, there are 2 boys in the class.  Therefore, the ratio is  .

### Example Question #8 : How To Find A Ratio

Which of the following is  in a simplified form?

Explanation:

In order to reduce  to its simpler form, the key is to divide each side by the same number. Dividing each side by 4 gives us a reduced ratio of , which is the correct answer.

### Example Question #9 : How To Find A Ratio

Determine the ratio of  to .

Explanation:

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

)  Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is  because  is the greatest number that goes into both numbers evenly.

)  Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of  to  is .

### Example Question #10 : Ssat Elementary Level Quantitative (Math)

A car with a tank that holds  gallons of gas gets  miles to the gallon. If the car's gas gauge reads that the tank is three-fourths full, how many miles can it travel before it needs to be refueled?