How to tell if ratios are equivalent


  1. Write both the ratios in fractional form ( numerator over denominator ).
  2. Do the cross multiplication. Multiply 10 by 24 and 8 by 30.
  3. If both products are equal, it means that they are equivalent ratios. Here 10 × 24 = 8 × 30 = 240. Therefore, they are equivalent ratios.

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.Apr 24, 2017


How do you determine whether the ratios are equivalent?

equivalent ratios: Two ratios are equivalent if you can multiply each of the numbers in the first ratio by the same factor to get the numbers in the second ratio. Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios.

What is equation that shows that two ratios are equivalent?

A ratio is a way to compare two quantities by using division as in miles per hour where we compare miles and hours. A ratio can be written in three different ways and all are read as “the ratio of x to y” A proportion on the other hand is an equation that says that two ratios are equivalent.

How to identify equivalent ratios?

Methods to Find the Equivalent Ratios

  1. Making the consequents the same
  2. Finding the decimal form of both the ratios
  3. Cross multiplication method
  4. Visual method

What are facts about equivalent ratios?

In fact, they’re called equivalent ratios, which are ratios that express the same relationship between two numbers. The ratios 60/1 and 120/2 are equivalent because the relationship between the two parts of the ratios didn’t change. According to the ratio 60/1, you travel 60 miles for every hour you drive.


What is an example of an equivalent ratio?

What is the Definition of Equivalent Ratios? Two or more ratios are equivalent if they have the same value when reduced to the lowest form. For example, 1:2, 2:4, 4:8 are equivalent ratios. All three ratios have the same value 1:2 when reduced to the simplest form.

What does it mean when two ratios are equivalent?

Two ratios are said to be in proportion if they are equivalent.

How do you equate two ratios?

0:001:26How to compare 2 ratios? – YouTubeYouTubeStart of suggested clipEnd of suggested clipFor example let us find which is greater. 2 is 2 5 or 3 is. 2 4 2 is 2 5 is equal to 2 by 5. And 3MoreFor example let us find which is greater. 2 is 2 5 or 3 is. 2 4 2 is 2 5 is equal to 2 by 5. And 3 is 2 4 is equal to 3 by 4. So 2 by 5 is equal to 2 into 4 by 5 into 4 is equal to 8.

What are the two ways in getting the equivalent ratios?

Lesson Summary We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.

What are equivalent ratios?

When the comparison of two different ratios is same, the such ratios are called equivalent ratios. For example, 1:2 and 3:6 are equivalent.

How can we find the equivalent ratio of 6:4?

To find the equivalent ratio of 6:4, convert the ratio into fraction and then multiply and divide the fraction by a common factor.
6:4 = 6/4 x (2/…

Are 30 : 20 and 24 : 16 equivalent ratios?

30:20 and 24:16 are equivalent ratios, since the lowest form of both ratios is 3:2.

What is the simplest form of 14:21?

The simplest form of 14:21 is ⅔.

What is equivalent ratio?

Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other. Some examples of equivalent ratios are 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.

What is the Definition of Equivalent Ratios?

Two or more ratios are equivalent if they have the same value when reduced to the lowest form. For example, 1:2, 2:4, 4:8 are equivalent ratios. All three ratios have the same value 1:2 when reduced to the simplest form.

How are Proportional Quantities Described by Equivalent Ratios?

A set of equivalent ratios represent proportional quantities. For example, we can say that 2:3 and 4:6 are in proportion. Proportion is nothing but the equality of ratios. This is how proportional quantities can be described by equivalent ratios.

How to Find Missing Numbers in Equivalent Ratios?

To find missing values in equivalent ratios, we have to first find the multiplying factor by equating the values of antecedents and consequents, and then we find the missing number. For example, if it is given that 1:4 and x:16 are equivalent ratios and we have to ding the missing value x. Here, the values of consequents are known to us, i.e 4 and 16. We multiply 4 by 4 to get 16. So, 4 us the multiplying factor in this case. So, we will multiply the antecedent of the first ratio 1 by 4 to find x. Therefore, the value of x is 4 such that 1:4 and 4:16 are equivalent ratios.

How to find unit rate?

Unit rates and equivalent ratios are related to each other. Unit rates can be found by using the concept of equivalent ratios. For example, if it is given that a car covers 70 miles in 2 hours. In the ratio, it can be expressed as 70:2. We can find the unit rate (distance covered in 1 hour), by finding the equivalent ratio of 70:2 such that 2 will be reduced to 1. For that, we need to multiply both the terms by 2 to get 35:1. This is the required unit rate. Similarly, we can also find equivalent ratios from a given unit rate by multiplying the terms with a natural number. This is how unit rates and equivalent ratios are related to each other.

What is the required value of x in 2:3?

Therefore, 2:3 and 10:15 are equivalent ratios, and the required value of x is 15.

What is the formula for 2:3?

Solution: It is given that 2:3 = 10:x. It means that we have to multiply 2:3 with a natural number such that the answer will be of form 10:x, where x is any natural number. Let us look at the antecedents 2 and 10. If we multiply 2 by 5, we get 10. It means we will have to multiply 3 with 5.

How to get equivalent ratio?

Remember, you can, to get an equivalent ratio you can multiply or divide these numbers by the same number. So, to get from 16 to eight, you could do that as, well, we just divided by two. And to go from 12 to six, you also divide by two. So this actually is an equivalent ratio. I’ll circle that in.

How to go from 16 to 4?

Well, to go from 16 to four, we would have to divide by four. And to go from 12 to three, we are going to divide by four as well. So we’re dividing by the same thing, each of these numbers. So, this is also going to be an equivalent ratio.

How to use equivalent ratio calculator?

How to Use the Equivalent Ratio Calculator? The procedure to use the equivalent ratio calculator is as follows: Step 1: Enter the two ratio values in the respective input fields. Step 2: Now click the button “Solve” to get the output. Step 3: The result (TRUE or FALSE) will be displayed in the output field.

What is ratio in math?

Ratio Definition. Ratios are the simplest Mathematical expressions that reveal the significant relationship between the values. In other words, a ratio is defined as the relationship between two numbers that indicate how many times the first number contains the second number.

Is 15:25 equal to 3:5?

The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.

How to find the equivalent fraction of a ratio?

To find the equivalent fraction, divide the least common multiple by the denominator. Multiply the numerator by this quotient. This will give you the new numerator of your equivalent fraction.

What is ratio in science?

A ratio is a way of expressing the relative sizes of parts of a group. Ratios are used often in baking, science, and any time you want to compare or exchange amounts of something. When two ratios are equivalent, they are in proportion.

How to multiply fractions?

Multiply the numerator of the first fraction and the denominator of the second fraction. Place this product to the right of the equation.

What happens when two fractions are equal?

Compare the two equivalent fractions. If the two fractions are equal, then the two original ratios are in proportion.

How to find the least common multiple of two denominators?

Find the least common multiple for the two denominators. To find the least common multiple, look for the smallest multiple each denominator has in common. If there is no least common multiple, then the ratios cannot be in proportion and no further steps are required.

What is 9×45 in proportion?

Since they are in proportion, 45/12 = x/9. Hence 9X45 = xX12. This gives x as 33.75.

What happens when two products are the same?

Compare the two products. If they are the same, then the ratios are in proportion.


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