Multiplying Mixed Numbers Calculator
Make use of our online Multiplying Mixed Numbers Calculator tool to multiply two mixed numbers effectively. To avail the advantages of this easy to use tool, you must enter two mixed numbers in the given input sections and hit on the calculate button to get the answer as soon as possible.
Ex.
Here are some samples of multiplication of Mixed Numbers calculations.
Multiplying Mixed Numbers Calculator: Do you feel dealing with mixed numbers is tough? Don't worry we are here to help you out in multiplying mixed numbers without facing issues. In the following sections of this article, you will find the detailed explanation to multiply two or more mixed numbers with solved examples. Also, get the simple formula to solve the questions immediately.
How to solve Multiplication of Two Mixed Numbers?
Get the simple steps to multiply mixed numbers in the following sections. Use these guidelines, terms and conditions while calculating the multiplication of two mixed numbers.
- Let us take any two mixed numbers to perform multiplication operation.
- Get the improper fraction for each mixed number.
- Use the algebraic formula a/b * c/d = ac / bd
- And simply multiply the numerators and denominators.
- Convert the obtained fraction to mixed number.
Example
Question: Solve 5 (10/13) * 7 (9/8)?
Solution:
Given mixed numbers are 5 (10/13) * 7 (9/8)
5 (10/13) * 7 (9/8) = ?
Convert the mixed numbers to improper fractions
5 (10/13) = 5 + 10/13 = (5 * 13 + 10) / 13 = (65 + 10) / 13 = 75/13
7 (9/8) = 7 + 9/8 = (7 * 8 + 9) / 8 = (56 + 9) / 8 = 65/8
5 (10/13) * 7 (9/8) = 75/13 * 65/8
= (75 * 65) / (13 * 8)
= 4875 / 104
Convert 4875/104 to whole number
4875/104 = 46 (91/104)
∴ 5 (10/13) * 7 (9/8) = 46 (91/104)
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FAQs on Multiplying Mixed Numbers Calculator
1. What is the formula to multiply the mixed numbers?
At first, convert the given mixed numbers to the improper fraction and use this formula.
a/b * c/d = (a * c) / (b*d) = ac/bd
Where, a/b is the first whole number fraction, b/d is the second number improper fraction, ac/bd is the fraction of the product of mixed numbers.
2. Find the product of 8 (9/2) and 7 (6/5)?
Improper fraction of 8 (9/2) = 8 + 9/2 = (8*2 + 9) / 2 = 25/2
Improper fraction of 7 (6/5) = 7 + 6/5 = (7*5 + 6) / 5 = 41/5
8 (9/2) * 7 (6/5) = 25/2 * 41/5
= 1025/10 = 205/2
Mixed number of 1025/10 is 102 (5/10)
Mixed number of 205/2 is 102 (1/2)
3. How do you calculate multiplication of mixed numbers on our calculator?
The simple way is you have to give mixed numbers in the input segments and press on the calculate button to get the exact product of given numbers in the mixed number format.
4. How do you multiply mixed numbers with like denominators?
Convert the mixed numbers to improper fraction. Get the product of obtained fractions and reconvert it to the mixed number.