How do you multiply fractions step by step?
When multiplying fractions, the first step is to multiply the numerators together. This gives us the new numerator for the product. Next, we multiply the denominators together, which gives us the new denominator for the product. After simplifying the fraction if necessary, we have the final product.
Let's take an example to illustrate the steps. Suppose we want to multiply the fractions 2/3 and 3/4.
We start by multiplying the numerators: 2 * 3 = 6.
Next, we multiply the denominators: 3 * 4 = 12.
Therefore, the product of 2/3 and 3/4 is 6/12.
We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 6.
By dividing 6 by 6, we get 1, and by dividing 12 by 6, we get 2.
So the simplified product of 2/3 and 3/4 is 1/2.
In summary, to multiply fractions step by step:
- Multiply the numerators together.
- Multiply the denominators together.
- Simplify the fraction if necessary.
By following these steps, you can easily multiply fractions and obtain the correct product. Remember to always simplify the fraction when possible to obtain the simplest form of the product.
What are the steps to multiplying a fraction?
Multiplying fractions involves a specific set of steps that are easy to follow. By following these steps, you can accurately multiply fractions and obtain the correct result.
The first step is to write down the two fractions that you want to multiply. Let's say you have the fractions 3/4 and 1/2. Write them down as 3/4 * 1/2.
The second step is to multiply the numerators of the fractions together. In this case, you would multiply 3 * 1, which equals 3. So, the result of this step would be 3/4 * 1/2 = 3/2.
The third step is to multiply the denominators of the fractions together. In this case, you would multiply 4 * 2, which equals 8. So, the result of this step would be 3/4 * 1/2 = 3/8.
The final step is to write down the product of the two fractions, using the resulting numerator and denominator. So, the final result of 3/4 * 1/2 is 3/8.
It's important to note that if the resulting fraction can be simplified, it's recommended to simplify it. In this case, 3/8 cannot be simplified further, so that is the final result.
By following these simple steps, you can easily multiply fractions and obtain the correct answer. Remember to always double-check your work to ensure accuracy.
What is an example of multiplying fractions?
When multiplying fractions, you are essentially multiplying the numerators together to get the new numerator, and multiplying the denominators together to get the new denominator.
For example, let's consider the fractions 2/3 and 3/4. To multiply them together, we can multiply the numerators: 2 * 3 = 6. And we can multiply the denominators: 3 * 4 = 12. Therefore, the product of the fractions is 6/12.
Simplifying the fraction is often necessary to make it easier to understand. In this case, we can simplify 6/12 by dividing both the numerator and denominator by their greatest common divisor, which is 6. So, 6 divided by 6 is 1, and 12 divided by 6 is 2. Therefore, the simplified product of the fractions is 1/2.
Another example would be multiplying 2/5 and 4/7. By multiplying the numerators (2 * 4) and denominators (5 * 7), we get 8/35. Simplifying this fraction further would require finding their greatest common divisor and dividing both the numerator and denominator by it.
Multiplying fractions is often required in various real-life situations, such as when calculating recipe measurements, determining discounts or sales prices, or solving problems involving ratios and proportions.
How do you multiply two fractions with different denominators?
When multiplying two fractions with different denominators, there are a few steps you can follow to find the result.
First, you need to find a common denominator for both fractions. To do this, you can look for the least common multiple (LCM) of the two denominators. The LCM is the smallest number that both denominators evenly divide into.
Once you have the common denominator, you need to adjust the numerators of both fractions accordingly. To do this, you divide the common denominator by the original denominator of each fraction and multiply the result by the numerator. This will give you the new numerator for each fraction.
Now, you can multiply the numerators of the two fractions together. This will give you the numerator of the final result.
Finally, you can multiply the common denominator of the fractions to get the denominator of the final result.
Let's take an example to illustrate this process. Consider multiplying 1/3 and 2/5:
Step 1: Find the common denominator: The LCM of 3 and 5 is 15.
Step 2: Adjust the numerators: For the fraction 1/3, the new numerator will be (15 / 3) * 1 = 5. For the fraction 2/5, the new numerator will be (15 / 5) * 2 = 6.
Step 3: Multiply the numerators: 5 * 6 = 30.
Step 4: Multiply the common denominator: 15.
Therefore, the result of multiplying 1/3 and 2/5 is 30/15, which can be simplified to 2.
In conclusion, when multiplying two fractions with different denominators, you need to find a common denominator, adjust the numerators, multiply the numerators together, and multiply the common denominator. This process allows you to find the result of the multiplication.
How do you multiply fractions for dummies?
How do you multiply fractions for dummies? Multiplying fractions may seem intimidating at first, but it is actually quite simple once you understand the basic steps.
Firstly, let's review what a fraction is. A fraction is a way of representing a part of a whole. It consists of a numerator and a denominator, separated by a slash. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
To multiply fractions, we follow a few straightforward steps. The first step is to multiply the numerators of the fractions together. This will give us the numerator of our final answer. For example, if we have the fractions 1/2 and 3/5, we multiply 1 and 3 together to get the numerator of our answer, which is 3.
The second step is to multiply the denominators of the fractions together. This will give us the denominator of our final answer. In the example mentioned earlier, we multiply 2 and 5 together to get the denominator of our answer, which is 10.
Finally, we simplify our answer by reducing the fraction to its simplest form. This means we divide the numerator and the denominator by their greatest common divisor. In our example, 3/10 is already in its simplest form, so our multiplication is complete.
It's important to note that if the fractions have any whole numbers before them, we can convert them into improper fractions before multiplying. To do this, we multiply the whole number by the denominator and then add the numerator as the new numerator, leaving the denominator unchanged. For example, if we have the fraction 2 1/4, we convert it to the improper fraction (2 * 4) + 1/4 = 9/4.
In summary, to multiply fractions, multiply the numerators and multiply the denominators, then simplify the resulting fraction if necessary. It's a straightforward process that can be easily mastered with practice.