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Dividing Mixed Numbers Calculator

Utilize this handy and user friendly Dividing Mixed Numbers Calculator to check the division of any two lengthy & difficult mixed numbers. This calculator is designed to help the people who are looking for a handy tool that gives instant results i.e division of mixed numbers. Enter your input mixed numbers and click on the calculate button to get the output page for the exact answer.

Ex. 1 3/4 ÷ 2 7/8 (or) 3 5/7 ÷ 1 3/7 (or) 1 9/11 ÷ 4 13/17






 

Here are some samples of Division of Mixed Numbers calculations.

Dividing Mixed Numbers Calculator: Are you thinking how to find the division of two mixed numbers? Then you have arrived the right place. On this page, you will get the handy Dividing Mixed Numbers tool that produces the instant results along with the step by step explanation. Not only this free calculator, you will also find the detailed process to solve the division of mixed numbers by hand and other important information in the below segments of this page. Solved example questions and detailed explanation of output are helpful to understand and learn the concept thoroughly.

Steps to Calculate Division of Two Mixed Numbers

One of the best and most convenient way for dividing two mixed numbers is given below. Have a look at them and follow the instructions to get the accurate output in a short span of time.

  • Let us take two mixed numbers to compute its division.
  • The main step is convert the mixed numbers to the improper fraction.
  • Write the improper fractions in the form of a/b / c/d.
  • The algebraic formula says that a/b / c/d is (a * d) / (b * c) that means ad/bc.
  • Use above formula and multiply those relevant terms to get the answer in improper fraction format.
  • Finally, convert the result fraction to mixed number.

Example

Question: Compute division of 2 (49/10) and 6 (1/6)?

Solution:

Given mixed numbers are 2 (47/10), 6 (1/6)

(2 (49/10)) / (6 (1/6)) = ?

Convert mixed numbers to improper fraction.

Improper fraction of 2 (49/10) = 2 + 49/10 = (2 * 10 + 49) / 10 = (20 + 49) / 10 = 69/10

Improper fraction of 6 (1/6) = 6 + 7/6 = (6 * 6 + 1) / 6 = (36 + 1) / 6 = 37/6

(2 (49/10)) / (6 (1/6)) = 69/10 / 37/6

a/b / c/d = ad/bc

By using this formula

69/10 / 37/6 = (69 * 6) / (37 * 10)

= 414 / 370

Convert 414/370 to mixed number

414/370 = 1 (44/370)

∴ (2 (49/10)) / (6 (1/6)) = 1 (44/370)

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Dividing Mixed Numbers Calculator

FAQs on Dividing Mixed Numbers Calculator

1. Is there any method to multiply or divide the mixed numbers?

No there is no direct method to perform multiplication or division of the two or more mixed numbers. The only way to do is by converting the mixed numbers to improper fractions and solving.


2. How do you divide two mixed numbers step by step?

  • The first step is convert the given two mixed numbers to their respective improper fraction numbers.
  • Simplify those improper fractions and put the answer in lowest terms.
  • Again convert the fraction to the mixed number.


3. What is meant by dividing mixed numbers?

Division of mixed numbers is similar to the multiplication of mixed numbers. It is the method of distributing a group of things into equal parts. Division of mixed numbers is one of the arithmetic operation.


4. Evaluate 7 (2/5) / 6 (2/3)?

Improper fraction of 7 (2/5) = 7 + 2/5 = (7 * 5 + 2) / 5 = (35 + 2) / 5 = 37/5

Improper fraction of 6 (2/3) = 6 + 2/3 = (6 * 3 + 2) / 3 = (18 + 2) / 3 = 20/3

7 (2/5) / 6 (2/3) = 37/5 / 20/3

= (37 * 3) / (20 * 5)

= 111 / 100

Mixed Number of 111 / 100 is 1 (11/100)

7 (2/5) / 6 (2/3) = 1 (11/100)