How Do You Multiply Fractions With Different Denominators?

First you

multiply the numerators

, then you multiply the denominators, even if they are not alike. Finally, look at your fraction and determine whether it is in its simplest form. If not, you must find a number to divide both the numerator and the denominator by in order to simplify your fraction.

Can you multiply two fractions with different denominators?

Unlike when you are adding or subtracting fractions, you can multiply fractions with different

denominators

. For instance, it’s not a problem to multiply 3/4 x 2/5.

How do you multiply fractions for beginners?

1. Multiply the numerators of the fractions together.
2. Multiply the denominators of the fractions together.
3. Simplify or reduce the product.
4. Multiply the numerators of the fractions together.
5. Multiply the denominators of the fractions together.
6. Convert to a proper fraction.

How do you multiply fractions examples?

For example, let’s multiply the following fractions: 2/3 × 4/5. We start by

multiplying the numerators

: 2 × 4 = 8, then, the denominators: 3 × 5 = 15. This can be written as: (2 × 4)/(3 × 5) = 8/15. Now, the product is already in its lowest terms, so we need not reduce it and we give this as the answer.

How do you multiply fractions step by step?

1. Multiply the numerators of the fractions together.
2. Multiply the denominators of the fractions together.
3. Simplify or reduce the product.
4. Multiply the numerators of the fractions together.
5. Multiply the denominators of the fractions together.
6. Convert to a proper fraction.

Why do we multiply fractions?

When you multiply a number by

a fraction, you are finding part of that number

. For example, if you multiply 6 by 1/2, you are finding 1/2 of 6. It gets a little trickier if both numbers are fractions, but the idea is still the same. Anytime you’re multiplying a number by a fraction, you’re finding part of that number.

How do you multiply and simplify fractions?

The first step when multiplying fractions is

to multiply the two numerators

. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

How do you add fractions with different denominators?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators,

rename the fractions with a common denominator

. Then add and simplify.

What are the 3 steps to multiplying fractions?

1. Multiply the top numbers (the numerators).
2. Multiply the bottom numbers (the denominators).
3. Simplify the fraction if needed.

When can you cross multiply fractions?

We can cross

multiply anytime we have a fraction that is set equal to another fraction

. Now, to cross multiply we do the exact same thing that we did in our last example. We take the numerator of one side and multiply it times the denominator of the other side, and do this same the from the numerator of the other side.

Do we multiply denominator?

Multiplication is one of the simplest operations you can carry out on fractions, because you don’t need to worry about whether the fractions have the same denominator or not; simply multiply the numerators together,

multiply the denominators together

and simplify the resulting fraction if need be.

How do you cross and simplify fractions?

1. Write down the factors for the numerator and the denominator.
2. Determine the largest factor that is common between the two.
3. Divide the numerator and denominator by the greatest common factor.
4. Write down the reduced fraction.

How do you simplify fractions step by step?

1. Write down the factors for the numerator and the denominator.
2. Determine the largest factor that is common between the two.
3. Divide the numerator and denominator by the greatest common factor.
4. Write down the reduced fraction.

How do you add three fractions with different denominators?

1. Cross-multiply the two fractions and add the results together to get the numerator of the answer. Suppose you want to add the fractions 1/3 and 2/5. …
2. Multiply the two denominators together to get the denominator of the answer. …
3. Write your answer as a fraction.

How do you add fractions without common denominators?

In order to add fractions,

the fractions must have a common denominator

. We need the pieces of each fraction to be the same size to combine them together. … These two fractions have the same denominator, so the equal parts that the whole has been split into are the same size.