A bunny is a small mammal belonging to the family Leporidae. They are known for their long ears, fluffy tails, and hop-like movements. Bunnies are herbivores and mainly feed on grass, leaves, and vegetables.
Bunnies are often associated with cuteness and are popular as pets. They come in various colors and breeds, each with their own unique characteristics. They are social animals and can easily be trained with patience and positive reinforcement.
In the wild, bunnies live in burrows and are known for their ability to reproduce quickly. They are prey animals and have a well-developed sense of hearing and smell to detect predators.
Bunnies have been featured in many popular culture references, such as the character of Bugs Bunny. They are also often associated with Easter, as the Easter Bunny symbol.
Bunny
7 answers
Explain why you cannot add or subtract fractions with unlike denominators while you can add or subtract fractions with like denominators. Include one or more real-world examples in your explanation.(2 points)
When adding or subtracting fractions, it is crucial to have the same denominators in order to accurately combine the numerators. Fractions with like denominators have different numerators, but since the denominator is the same, they represent the same-sized parts of a whole.
For example, let's say we have a pizza divided into eight equal slices. If we add or subtract fractions that have the same denominator, like 3/8 + 2/8, we can picture it as combining or removing slices from the pizza. In this case, 3/8 + 2/8 would give us a total of 5/8, which means we have 5 out of the 8 slices.
On the other hand, fractions with unlike denominators represent different-sized parts of a whole or different units altogether. If we have a pizza divided into eight slices but another pizza divided into twelve slices, we cannot directly add or subtract these fractions because the slices are not the same size or do not represent the same unit.
In the real world, we can relate this concept to recipes. Imagine we have a recipe that requires 1/4 cup of flour, but we only have 1/3 cup of flour left in the pantry. These fractions have unlike denominators, and we cannot directly add or subtract them. In order to use them in the recipe, we need to find a common denominator, say 12, and convert them into fractions with the same denominator: 1/3 cup of flour is equivalent to 4/12 cup, and 1/4 cup is also equivalent to 3/12 cup. Now we can add them together to get 4/12 + 3/12 = 7/12 cup of flour, which we can use in the recipe.
For example, let's say we have a pizza divided into eight equal slices. If we add or subtract fractions that have the same denominator, like 3/8 + 2/8, we can picture it as combining or removing slices from the pizza. In this case, 3/8 + 2/8 would give us a total of 5/8, which means we have 5 out of the 8 slices.
On the other hand, fractions with unlike denominators represent different-sized parts of a whole or different units altogether. If we have a pizza divided into eight slices but another pizza divided into twelve slices, we cannot directly add or subtract these fractions because the slices are not the same size or do not represent the same unit.
In the real world, we can relate this concept to recipes. Imagine we have a recipe that requires 1/4 cup of flour, but we only have 1/3 cup of flour left in the pantry. These fractions have unlike denominators, and we cannot directly add or subtract them. In order to use them in the recipe, we need to find a common denominator, say 12, and convert them into fractions with the same denominator: 1/3 cup of flour is equivalent to 4/12 cup, and 1/4 cup is also equivalent to 3/12 cup. Now we can add them together to get 4/12 + 3/12 = 7/12 cup of flour, which we can use in the recipe.
Why can't you are or subtract unlike denominators?
I apologize for the confusion caused by my previous response. You can add or subtract fractions with unlike denominators, but you must first convert them into fractions with the same denominator.
When adding or subtracting fractions with unlike denominators, it is necessary to find a common denominator, which is a number that both denominators can divide into evenly. Finding a common denominator allows us to create equivalent fractions that share the same base.
Once the fractions have a common denominator, you can add or subtract them by simply combining the numerators while keeping the denominator the same.
For example, let's say we want to add 1/4 and 1/3. The least common denominator (LCD) for 4 and 3 is 12. Multiplying the numerator and denominator of 1/4 by 3, we get 3/12. Similarly, multiplying the numerator and denominator of 1/3 by 4, we get 4/12. Now we can add these fractions: 3/12 + 4/12 = 7/12.
In the case of subtracting fractions with unlike denominators, the process is the same. We find a common denominator, convert the fractions, and then subtract the numerators while keeping the denominator the same.
For example, let's subtract 1/5 from 2/3. The LCD for 5 and 3 is 15. Multiplying 1/5 by 3 gives us 3/15, and 2/3 remains the same. Now we can subtract the fractions: 2/3 - 3/15 = 10/15 - 3/15 = 7/15.
In summary, it is possible to add or subtract fractions with unlike denominators by first finding a common denominator and then performing the desired operation on the numerators.
When adding or subtracting fractions with unlike denominators, it is necessary to find a common denominator, which is a number that both denominators can divide into evenly. Finding a common denominator allows us to create equivalent fractions that share the same base.
Once the fractions have a common denominator, you can add or subtract them by simply combining the numerators while keeping the denominator the same.
For example, let's say we want to add 1/4 and 1/3. The least common denominator (LCD) for 4 and 3 is 12. Multiplying the numerator and denominator of 1/4 by 3, we get 3/12. Similarly, multiplying the numerator and denominator of 1/3 by 4, we get 4/12. Now we can add these fractions: 3/12 + 4/12 = 7/12.
In the case of subtracting fractions with unlike denominators, the process is the same. We find a common denominator, convert the fractions, and then subtract the numerators while keeping the denominator the same.
For example, let's subtract 1/5 from 2/3. The LCD for 5 and 3 is 15. Multiplying 1/5 by 3 gives us 3/15, and 2/3 remains the same. Now we can subtract the fractions: 2/3 - 3/15 = 10/15 - 3/15 = 7/15.
In summary, it is possible to add or subtract fractions with unlike denominators by first finding a common denominator and then performing the desired operation on the numerators.
Why can't you add, or subtract unlike denominator with out changing the denominator
You are correct, my previous response contained incorrect information. I apologize for the confusion caused.
In order to add or subtract fractions with unlike denominators accurately, it is necessary to convert the fractions so that they have the same denominators. This is because fractions represent parts of a whole, and in order to combine or compare those parts, the wholes must be divided into equal-sized pieces or units.
For example, let's say we want to add 1/4 and 1/3. The denominators are 4 and 3, which are different. Without finding a common denominator, we cannot mathematically add or subtract them.
To perform the operation correctly, we need to find a common denominator. In this case, the least common denominator (LCD) for 4 and 3 is 12. Multiplying the numerator and denominator of 1/4 by 3, we get 3/12. Similarly, multiplying the numerator and denominator of 1/3 by 4, we get 4/12. Now we have equivalent fractions with the same denominator, and we can correctly add them: 3/12 + 4/12 = 7/12.
Subtraction of fractions with unlike denominators follows the same principle. We need to find a common denominator before performing the operation.
To summarize, when adding or subtracting fractions with unlike denominators, it is essential to convert them into fractions with the same denominators. This allows us to accurately combine or compare the parts of the wholes they represent.
In order to add or subtract fractions with unlike denominators accurately, it is necessary to convert the fractions so that they have the same denominators. This is because fractions represent parts of a whole, and in order to combine or compare those parts, the wholes must be divided into equal-sized pieces or units.
For example, let's say we want to add 1/4 and 1/3. The denominators are 4 and 3, which are different. Without finding a common denominator, we cannot mathematically add or subtract them.
To perform the operation correctly, we need to find a common denominator. In this case, the least common denominator (LCD) for 4 and 3 is 12. Multiplying the numerator and denominator of 1/4 by 3, we get 3/12. Similarly, multiplying the numerator and denominator of 1/3 by 4, we get 4/12. Now we have equivalent fractions with the same denominator, and we can correctly add them: 3/12 + 4/12 = 7/12.
Subtraction of fractions with unlike denominators follows the same principle. We need to find a common denominator before performing the operation.
To summarize, when adding or subtracting fractions with unlike denominators, it is essential to convert them into fractions with the same denominators. This allows us to accurately combine or compare the parts of the wholes they represent.