# How to multiply two fractions with the same denominator

## Common Denominator

Multiplying fractions is as easy as 1, 2, 3! Step 1: Multiply the numerators. Step 2: Multiply the denominators. Step 3: Simplify the end result. To simplify means to.

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Welcome to the world of fractions. Using objects like a pizza, a watermelon and fraction models, understand that a fraction is a few parts out of a whole. Use real world objects like pizza and watermelon, and fraction models to represent simple fractions. Use pictures to identify equivalent fractions. Two equivalent fraction belong to the same whole and have the same size!

In this case, "common demoninator" means one denominator bottom part of a fraction, or the divisor that can be used by two or more fractions with denominators.
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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Arithmetic Fractions Multiplying fractions. Intro to multiplying 2 fractions. Multiplying 2 fractions: fraction model. Multiplying 2 fractions: number line.

In elementary school, students are introduced to the world of fractions at a very basic level--adding, subtracting, multiplying and dividing. As you advance in your math studies, you learn more complicated use of fractions in subjects, such as algebra and trigonometry. An understanding of the basic fraction fundamentals can lay the groundwork for future math studies. Add fractions that have common denominators by adding the two numerators together and placing that sum over the common denominator. Adding the two numerators together equals 3. Subtract fractions with common denominators by subtracting the two numerators and placing them over the common denominator. Simplify the fraction to its lowest form by dividing the denominator into the numerator.

## Subtracting Fractions

Step 3: Simplify the resulting fraction by reducing it to the lowest term, if needed. The resulting fraction after multiplication is already in its reduced form. That becomes our final answer! Divide the top and bottom by its greatest common divisor GCD which is The general idea remains the same just like when you multiply two fractions, as shown in previous examples. Divide both the numerator and denominator by the greatest common divisor that is With that, it should allow us to multiply the fractions as usual.

Multiplying Fractions and Mixed Numbers. Learning Objective s. Just as you add, subtract, multiply, and divide when working with whole numbers, you also use these operations when working with fractions. There are many times when it is necessary to multiply fractions and mixed numbers. For example, this recipe will make 4 crumb piecrusts:. Suppose you only want to make 2 crumb piecrusts. You can multiply all the ingredients by , since only half of the number of piecrusts are needed.

As fractions of a unit of measure , equivalent fractions are equal measurements. Every fraction has a ratio to 1. Equivlent fractions will have the same ratio to 1.
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You might like to read Adding Fractions first. If you are unsure of the last step see Equivalent Fractions. Step 1. The bottom numbers are different. See how the slices are different sizes? We need to make them the same before we can continue, because we can't subtract them like this:. I have a special page on Adding and Subtracting Mixed Fractions.