Want to know how to calculate multiplication of three fraction? Follow the simple and easy guidelines listed below. Show
Example Question: Solve 3/5 x 4/9 x 15/24? Solution: Given fractions are 3/5 x 4/9 x 15/24 Multiplication of numerators = 3 x 4 x 15 = 180 Multiplication of denominators = 5 x 9 x 24 = 1080 Final product = 180 / 1080 = 1/6 or 0.166 3/5 x 4/9 x 15/24 = 1/6 = 0.166 In our day to day lives, we need to figure out a huge number of calculations. At times, we avoid them due to a lack of knowledge or willingness to calculate. Onlinecalculator.guru is working on technology to solve any type of math problem for you. 1. How do you multiply 3 fractions at once? To multiply the three fractions, firstly, multiply 3 numerators and then denominators. After multiplication, write them as fraction. Other simple method is find the factors of each number and write them in numerator, denominator separated by x symbol. Cancel the like terms and then reduce the fraction to the lowest term to get the result. 2. What are the different types of fractions? The three main different types of fractions are proper fraction, improper fraction, and mixed fractions. 3. How to multiply three fractions on a calculator? Enter the numerator, denominator for fraction1, fraction2, and fraction 3 in the specified input fields. And hit on the calculate button which in blue color to find the multiplication of fractions in the decimal form and in the form of fraction. 4. Multiply 37/45 x 89/92 x 56/74? 37/45 x 89/92 x 56/74 = (37 x 89 x 56) / (45 x 92 x 74) = 184,408 / 306,360 = 623 / 1035 = 0.601 Video transcriptWe're asked to multiply 5/6 times 2/3 and then simplify our answer. So let's just multiply these two numbers. So we have 5/6 times 2/3. Now when you're multiplying fractions, it's actually a pretty straightforward process. The new numerator, or the numerator of the product, is just the product of the two numerators, or your new top number is a product of the other two top numbers. So the numerator in our product is just 5 times 2. So it's equal to 5 times 2 over 6 times 3, which is equal to-- 5 times 2 is 10 and 6 times 3 is 18, so it's equal to 10/18. And you could view this as either 2/3 of 5/6 or 5/6 of 2/3, depending on how you want to think about it. And this is the right answer. It is 10/18, but when you look at these two numbers, you immediately or you might immediately see that they share some common factors. They're both divisible by 2, so if we want it in lowest terms, we want to divide them both by 2. So divide 10 by 2, divide 18 by 2, and you get 10 divided by 2 is 5, 18 divided by 2 is 9. Now, you could have essentially done this step earlier on. You could've done it actually before we did the multiplication. You could've done it over here. You could've said, well, I have a 2 in the numerator and I have something divisible by 2 into the denominator, so let me divide the numerator by 2, and this becomes a 1. Let me divide the denominator by 2, and this becomes a 3. And then you have 5 times 1 is 5, and 3 times 3 is 9. So it's really the same thing we did right here. We just did it before we actually took the product. You could actually do it right here. So if you did it right over here, you'd say, well, look, 6 times 3 is eventually going to be the denominator. 5 times 2 is eventually going to be the numerator. So let's divide the numerator by 2, so this will become a 1. Let's divide the denominator by 2. This is divisible by 2, so that'll become a 3. And it'll become 5 times 1 is 5 and 3 times 3 is 9. So either way you do it, it'll work. If you do it this way, you get to see the things factored out a little bit more, so it's usually easier to recognize what's divisible by what, or you could do it at the end and put things in lowest terms. Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. Then, the resultant fraction is simplified further and reduced to its lowest terms, if needed. Learn all about multiplying fractions in this article.
How to Multiply Fractions?The multiplication of fractions is not like the addition or subtraction of fractions, where the denominator should be the same. Here, any two fractions with different denominators can easily be multiplied. The only thing to be kept in mind is that the fractions should not be in the mixed form, they should either be proper fractions or improper fractions. Let us learn how to multiply fractions through the following steps:
Let us understand these steps with the help of an example. Example: Multiply the following fractions: 1/3 × 3/5. Solution: We start by multiplying the numerators: 1 × 3 = 3, then, multiply the denominators: 3 × 5 = 15. This can be written as: (1 × 3)/(3 × 5) = 3/15. Now, reduce this value to its lowest form. 3 is the Greatest Common Factor (GCF) of 3 and 15, so, divide both 3 and 15 by 3 to simplify the fraction. Therefore, 1/3 × 3/5 = 1/5. Rules of Multiplying FractionsWhile multiplying fractions, the following rules should be kept in mind:
These three rules can be applied to any two fractions to find their product. Now, let us learn the individual cases of multiplying fractions with different types of fractions. Multiplying Fractions with Same DenominatorMultiplying fractions with the same denominator does not change the rule of multiplication of fractions. Fractions that have the same denominator are termed like fractions. Although addition and subtraction of like fractions are different from the addition and subtraction of unlike fractions, in the case of multiplication and division the method remains the same. We multiply the numerators, then the denominators, and then the fraction is reduced to its lowest terms. Example: Multiply 1/3 × 5/3 Solution: We can multiply these fractions using the following steps.
Multiplying Fractions with Different DenominatorsMultiplying fractions with unlike denominators is exactly the same as the multiplication of like fractions. Let us understand this with an example. Example: Multiply 4/12 × 16/24. We can multiply these fractions using the following steps:
Alternative Method The same fractions can be multiplied using another method in which we simplify the fractions among themselves and then multiply the numerators, then the denominators to get the final product. Example: Multiply 4/12 × 16/24. Let us multiply the given fractions using the following steps:
Multiplying Fractions with Whole NumbersMultiplying fractions by whole numbers is an easy concept. As we know that multiplication is the repeated addition of the same number, this fact can be applied to fractions as well. Multiplying Fractions with Whole Numbers Visual Model Let us consider this example: 4 × 2/3. This means 2/3 is added 4 times. Let us represent this example using a visual model. Four times two-thirds is represented as: Steps of Multiplying Fractions with Whole Numbers In order to multiply fractions with whole numbers, we use the simple rule of multiplying the numerators, then multiplying the denominators, and then reducing them to the lowest terms. However, in the case of whole numbers, we write them in the fractional form by placing '1' in the denominator. Let us understand this with an example. Example: Multiply: 5 × 3/4. Solution: Let us use the following steps to multiply the given fraction with a whole number.
Multiplying Fractions with Mixed NumbersMixed numbers or mixed fractions are fractions that consist of a whole number and a proper fraction, like \(2\frac{3}{4}\), where 2 is the whole number and 3/4 is the proper fraction. For multiplying mixed fractions, we need to change the mixed fractions into an improper fraction before multiplying. For example, if the number is \(2\frac{2}{3}\), we need to change this to 8/3. Let us understand this with the help of an example. Example: Multiply \(2\frac{2}{3}\) and \(3\frac{1}{4}\). Solution: The following steps can be used to multiply fractions with mixed numbers.
Multiplication of Improper FractionsNow let us understand the multiplication of improper fractions. We already know that an improper fraction is one where the numerator is bigger than the denominator. When multiplying two improper fractions, we frequently end up with an improper fraction. For example, to multiply 3/2 × 7/5 which are two improper fractions, we need to take the following steps:
Tips and Tricks of Multiplying Fractions Here are a few important tips and tricks which are helpful in the multiplication of fractions.
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FAQs on Multiplying FractionsHow do you Multiply Fractions?Multiplying fractions means finding the product of two or more fractions. The method that is used for the multiplication of fractions is different from the addition and subtraction of fractions. To multiply any two fractions, we follow the steps given below. Let us multiply 7/8 × 2/6 to understand the steps.
What are the Rules for Multiplying Fractions?There are three simple rules for multiplying fractions. First, multiply the numerators, and then the denominators of both the fractions to obtain the resultant fraction. Then, we need to simplify the obtained fraction to get the final answer. This can be understood by a simple example → 2/6 × 4/7 = (2 × 4)/(6 × 7) = 8/42 = 4/21. How to Multiply Fractions with Mixed Numbers?The following steps can be used for the multiplication of mixed fractions. Let us multiply 1/4 × \(3\frac{1}{2}\).
How to Multiply Fractions with Whole Numbers?To understand the multiplication of a fraction with a whole number, we can take a simple numerical example, 2/7 × 3. Start by rewriting the whole number (3 in this example) as a fraction, 3/1. Now, we can apply the steps that we use to multiply fractions. This means, 2/7 × 3/1 = (2 × 3)/(7 × 1) = 6/7. How to Multiply Fractions with Same Denominators?Multiplying fractions with same denominators is the same as multiplying other regular fractions. Let us understand this with an example. Let us multiply 4/5 × 3/5. We multiply the numerators, that is, 4 × 3 = 12. Then, we multiply the denominators, that is, 5 × 5 = 25. This will give us the product as 12/25. Since this cannot be reduced any further, 12/25 will be the answer. How to Multiply Fractions with Different Denominators?Multiplying fractions with different denominators does not change the rule for the multiplication of fractions. Let us understand this with an example. Multiply 2/6 × 3/4.We can multiply these fractions using the following steps:
How to Multiply a Fraction by a Fraction?The multiplication between two fractions is the simplest form of arithmetic operations between two fractions. The numerators of both the fractions are to be multiplied first, followed by the multiplication of the denominators. Then, the resultant fraction is simplified to its lowest terms, if needed. How is Multiplying Fractions Different from Adding Fractions?The addition of fractions is different from the multiplication of fractions. In multiplication, first, the numerators of the two fractions are multiplied, then the denominators are multiplied to obtain the resultant fraction. However, in the process of addition of fractions, we first need to make the denominators of both the fractions equal and then we add the numerators to obtain the resultant fraction. In addition or subtraction of fractions, we do not add or subtract the denominators separately. How to Multiply Fractions with Decimals?In order to multiply fractions with decimals, we convert the decimal number to a fraction, and then we use the same rules of multiplication of fractions. For example, let us multiply 5/7 × 0.6.
How to Teach Multiplication of Fractions?The multiplication of fractions can be taught in the same way as the multiplication of whole numbers. The important aspect, before the multiplication of fractions, is to convert the mixed fraction into an improper fraction. After this step, we multiply the numerators of both the fractions and then the denominators of both the fractions to obtain the resultant fraction. The following ways can be used to teach multiplying fractions:
How to Multiply 3 Fractions?In order to multiply 3 fractions, we use the same rules of multiplication of fractions. For example, let us multiply 2/3 × 4/5 × 1/7. Let us multiply all the numerators, 2 × 4 × 1 = 8. Now, let us multiply the denominators, 3 × 5 × 7 = 105. So, the product is 8/105. Since this cannot be reduced any further, 8/105 is the answer. How do you multiply fractions with different denominators?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.
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