What is a Mixed Number?

A mixed number has two parts – a whole number and a proper fraction. For example,

2  2 4  1  4​.

2 will be known as the whole number part.

1/4​ is called a fraction.

When we have quantities that are greater than whole numbers but less than the next whole number, mixed numbers are used. For example, if you were measuring fabric where you needed 2 full meters and part of the third meter, it would be described as a mixed number like:

2 1/2​.

Changing Mixed Numbers to Improper Fractions

It is important to know how to convert an improper fraction to a mixed number so as to perform arithmetic operations. Here’s how it’s done:

Mixed Number into Improper Fraction

To change a mixed number into an improper fraction, do the following:

• Multiply the denominator with the integer.
• Add the numerator of the fractional part just obtained to the answer in step “a” above.
• The denominator remains unchanged.

For example, changing

2  1 4  2  4  1​ into an improper fraction gives us;

2  1 4 = (2 * 4)+14 = (9/4). Therefore,

24/7 = 29/7.

Improper Fraction into Mixed Number

Denominator remains the same.

For example, 9 divided by four can be expressed as

2 1/4 = 9/4 = 2 4​.

Operations with Mixed Numbers

Our Mixed Number Calculator on Calculator3.com has all the tools required for tackling various tasks that involve mixed numbers. These are:

Adding Mixed Numbers

Steps to add mixed numbers:

• Change the mixed numbers into improper fractions.
• Get a common denominator (if needed).
• Combine the fractions and find their sum.
• Change the result to a mixed number if necessary.

To illustrate this, one can add:

1 1/2 + 2 1/3:

• Change both to improper fractions:
  • 1 1/2 = 3/2,
  • 2 1/3 = 7/3.
• Find a common denominator, which is 6:
  • 3/2=9/6,
  • 7/3=14/6.
• Add the fractions:
  • 9/6 + 14/6 = 23/6.
• Convert back to a mixed number:
  • 23 divided by 6 equals three and five-sixths.

Subtracting Mixed Numbers

When subtracting mixed numbers follow the process below:

• Convert to improper fractions.
• Find a common denominator.
• Subtract the Fractions.

For instance, if we subtract:

3 1/4 = 13/4,

1 1/2 = 3/2, and 3/4 = 4/13, and 2/3

• Find a common denominator (4) for the fractions:
  • 6/2= 6/4.
• Subtract the fractions: 13 − 65 = 7/4.

Write as an Improper Fraction or Mixed Number: 7 2/3….

Multiplying Mixed Numbers

Steps include:

• Change the mixed numbers into improper fractions.
• Multiply the numbers together.
• Simplify the result (if necessary).
• Change the result back into a mixed number.

As an example, let’s multiply:

2 1/4 × 1 2/3:

• Change these to improper fractions:
  • 2 = 9/4,
  • 1 = 5/3,
  • 3 = 4/9,
  • 32 = 35/3.
• Multiply the fractions together:
  • 9 = 45/12,
  • 5 = 345.
• Simplify the fraction so that it is in its simplest form:
  • 45 = 154.
• Change this back into a mixed number:
  • 15 = 34.

Dividing Mixed Numbers

For example, dividing:

2 1/2 ÷ 1 1/2:

• Convert to improper fractions:
  • 2/12 = 5/2,
  • 1/22 = 3/2.
• Flip the second fraction:
  • 5/23 × 3/2 = 10/6.
• Simplify:
  • 10 ÷ 6 = 5 ÷ 3.
• Convert back to a mixed number:
  • 5 ÷ 3 = 1 and ?/?

Conclusion

Mixed Number Calculator is a useful tool to handle mixed numbers for all people. Whether you are a student trying to learn fractions, a professional who works with measurements, or an individual who just wants fast answers; this calculator enhances ease and accuracy from these steps. Through its user-friendly interface and the step-by-step solutions, it can be used to solve intricate issues.

Do not think twice using the Mixed Number Calculator in case you have met a mixed number, this will help you find solutions quickly and understand what happened much better.