How do you multiply mixed numbers step by step?

To multiply mixed numbers step by step, follow these simple instructions:

Multiply the whole numbers: Multiply the whole numbers of the mixed numbers.

Multiply the fractions: Multiply the fractions of the mixed numbers.

Add the products: Add the products obtained from multiplying the whole numbers and the fractions separately.

Simplify the result: If possible, simplify the resulting fraction by reducing it to lowest terms.

Let's take an example:

Suppose we need to multiply 3 and 1/2 by 2 and 3/4.

Multiply the whole numbers: 3 x 2 = 6

Multiply the fractions: 1/2 x 3/4 = 3/8

Add the products: 6 + 3/8 = 48/8 + 3/8 = 51/8

Simplify the result: 51/8 is already simplified.

Therefore, the product of 3 and 1/2 with 2 and 3/4 is 51/8.

Remember to always simplify the result if possible to make the answer easier to understand.

By following these steps, you can easily multiply mixed numbers and obtain the correct product.

How do you multiply mixed fractions step by step?

When multiplying mixed fractions, it's important to follow a step-by-step process. Firstly, we start by converting each mixed fraction into an improper fraction. This can be done by multiplying the whole number by the denominator of the fraction and adding the numerator.

Next, we multiply the numerators together and the denominators together. This will give us the new numerator and denominator for the product fraction.

After obtaining the new numerator and denominator, we simplify the fraction if possible. To simplify, we divide both the numerator and denominator by their greatest common factor.

Finally, if required, we can convert the improper fraction back into a mixed fraction by dividing the numerator by the denominator and writing the quotient as the whole number and the remainder as the numerator.

By following these steps, we can successfully multiply mixed fractions. It's important to remember that practice and understanding of fractions is key to mastering this process.

How to do mixed numbers step by step?

How to do mixed numbers step by step?

Mixed numbers are numbers that have a whole number part combined with a fractional part. They are often used in everyday life situations, such as measuring ingredients in a recipe or talking about distances. Learning how to work with mixed numbers is essential for various mathematical operations, including addition, subtraction, multiplication, and division.

To convert a mixed number to an improper fraction:

1. Take the whole number part and multiply it by the denominator of the fractional part.

2. Add the result to the numerator of the fractional part.

3. Place the sum obtained in step 2 as the new numerator, keeping the original denominator.

4. The resulting fraction is now referred to as an improper fraction.

To convert an improper fraction to a mixed number:

1. Divide the numerator by the denominator to find the quotient and the remainder.

2. The quotient represents the whole number part of the mixed number, and the remainder becomes the new numerator of the fractional part.

3. Keep the original denominator for the fractional part.

To add or subtract mixed numbers:

1. If the mixed numbers have different denominators, find a common denominator by finding the least common multiple (LCM) of the denominators.

2. Convert each mixed number to an improper fraction, if necessary.

3. Add or subtract the improper fractions.

4. If the resulting improper fraction needs to be simplified, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.

5. Convert the resulting improper fraction back to a mixed number, if necessary.

To multiply mixed numbers:

1. Convert each mixed number to an improper fraction.

2. Multiply the two improper fractions together.

3. If the resulting improper fraction needs to be simplified, follow the same steps as mentioned in the addition or subtraction section.

4. Convert the resulting improper fraction back to a mixed number, if necessary.

To divide mixed numbers:

2. Invert the second improper fraction, swapping the numerator and denominator.

3. Multiply the first improper fraction by the inverted second improper fraction.

4. Simplify the resulting improper fraction, if necessary.

By following these step-by-step instructions, you can successfully work with mixed numbers and perform various mathematical operations involving them. Remember to simplify the fractions whenever necessary and convert them back to mixed numbers if required. Practice regularly to improve your proficiency in dealing with mixed numbers.

How do you multiply fractions step by step?

In order to multiply fractions step by step, follow these simple instructions:

1. Multiply the numerators: Multiply the numerators of the fractions together. The numerator is the top number of the fraction. For example, if you have two fractions, one with a numerator of 3 and the other with a numerator of 5, multiply them together to get 3 x 5 = 15.

2. Multiply the denominators: Multiply the denominators of the fractions together. The denominator is the bottom number of the fraction. For example, if you have two fractions, one with a denominator of 4 and the other with a denominator of 7, multiply them together to get 4 x 7 = 28.

3. Write the result: Write the result of the multiplication as a new fraction. The numerator of the new fraction is the result of the multiplication from step 1, and the denominator is the result of the multiplication from step 2. For example, if you multiply 3/4 and 5/7, the result is 15/28.

4. Simplify, if necessary: If the resulting fraction can be simplified, divide both the numerator and denominator by their greatest common factor to simplify it. For example, if the resulting fraction is 15/28, you can divide both 15 and 28 by 5 to simplify it to 3/4.

By following these steps, you can easily multiply fractions and obtain the correct result.

What is the shortcut for multiplying mixed numbers?

Multiplying mixed numbers can be tricky and time-consuming if you don't know the shortcut. Fortunately, there is a quick and efficient method to calculate the product of mixed numbers.

The shortcut for multiplying mixed numbers involves converting them into improper fractions before performing the multiplication. To do this, you need to multiply the whole number by the denominator and add the numerator. The resulting fraction will have the same denominator as the original mixed number.

Let's take an example to understand this shortcut better. Suppose we want to multiply 2 and 1/4 with 1 and 3/8. First, convert both mixed numbers into improper fractions.

2 and 1/4 can be written as (2 * 4 + 1) / 4 = 9/4. Similarly, 1 and 3/8 can be written as (1 * 8 + 3) / 8 = 11/8.

Now that we have the improper fractions, we can simply multiply the numerators and denominators. In this case, 9/4 * 11/8 will give us the product.

When multiplying fractions, you multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. So, in our example, 9/4 * 11/8 will result in (9 * 11) / (4 * 8).

Finally, simplify the resulting fraction if necessary. In our example, (9 * 11) / (4 * 8) simplifies to 99/32.

The shortcut for multiplying mixed numbers allows you to bypass the process of converting mixed numbers to improper fractions and then back to mixed numbers, saving you valuable time and effort.

Remember, the key steps in this shortcut are converting the mixed numbers to improper fractions, multiplying the numerators and denominators, and simplifying the resulting fraction if necessary.