Mathematical Calculators

## Fraction To Mixed Number Calculator

Convert a fraction to a mixed number calculator using our simple tool

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## Improper fraction

 ◦Calculate a mixed number from an improper fraction ◦What is an improper fraction? Improper fraction definition ◦How to convert an improper fraction to a mixed number ◦Are you a teacher looking for a lesson plan to teach improper fractions to your class? ◦Why are improper fractions important to know? Let’s see! Here’s some every day uses of improper fractions

## What is an improper fraction? Improper fraction definition

Improper fractions are a type of fraction where the numerator (the top part of the fraction) is greater than or equal to the denominator (the bottom part of the fraction). For example, 7/4 is an improper fraction because 7 is greater than 4.

## How to convert an improper fraction to a mixed number

To convert an improper fraction to a mixed number, you will need to divide the numerator by the denominator and then express the remainder as a fraction. For example, to convert the improper fraction 7/4 to a mixed number, you would divide 7 by 4 to get 1 with a remainder of 3. This means that the mixed number equivalent of 7/4 is 1 3/4.
To convert an improper fraction to a mixed number using the calculator on this page, simply enter the numerator and denominator of the fraction and click the "Convert to Mixed Number" button. The calculator will then divide the numerator by the denominator and express the remainder as a fraction, giving you the mixed number equivalent of the improper fraction.
There are a few things to keep in mind when using this calculator:
• Make sure to enter the numerator and denominator as integers (whole numbers).
• The calculator will reduce the fraction to its lowest terms (simplest form) before converting it to a mixed number. For example, if you enter the fraction 10/20, the calculator will reduce it to 1/2 before giving you the mixed number equivalent.
• ## Are you a teacher looking for a lesson plan to teach improper fractions to your class?

Here is a sample lesson plan for teaching improper fractions to a middle or high school level math class:
Lesson Plan: Teaching Improper Fractions
Objective: Students will be able to identify and convert improper fractions, and use them in problem-solving contexts.
Materials Needed:
• Whiteboard and markers
• Paper and pencils
• Fraction manipulatives (optional)
• Worksheet or practice problems
• Introduction (5 minutes):
• Begin by reviewing the concept of fractions, including the difference between the numerator and denominator and how to write a fraction in simplest form.
• Ask the class if they have ever heard of an improper fraction, and if so, if they can explain what it is. Clarify any misconceptions or questions that arise.
• Direct Instruction (20 minutes):
• Define an improper fraction as a fraction where the numerator is larger than or equal to the denominator, such as 5/3 or 7/4.
• Show an example of an improper fraction on the whiteboard, and explain how to convert it to a mixed number (e.g. 7/4 = 1 3/4). Model the process step by step, including how to divide the numerator by the denominator and write the remainder as a fraction.
• Have students practice converting a few improper fractions on their own or with a partner, using manipulatives or drawings to help visualize the process.
• Discuss any questions or issues that come up, and emphasize the importance of checking your work to make sure your mixed number makes sense.
• Guided Practice (15 minutes):
• Give students a worksheet or set of practice problems that includes both improper fractions and mixed numbers.
• Have students work through the problems independently or in small groups, using the steps they learned in the direct instruction to convert the improper fractions to mixed numbers and vice versa.
• Circulate around the room to answer questions and provide guidance as needed.
• Independent Practice (15 minutes):
• Challenge students to create their own set of 5-10 practice problems that involve improper fractions or mixed numbers, and exchange them with a partner or group to solve.
• Have students share their problems and solutions with the class, and discuss any patterns or strategies that emerged.
• Closure (5 minutes):
• Ask students to share one thing they learned or found interesting about improper fractions. Emphasize the real-world applications of this concept, such as when working with measurements or in cooking and baking.
• Review the steps for converting improper fractions to mixed numbers, and remind students to practice this skill on their own or with a partner to reinforce their understanding.
• ## Why are improper fractions important to know? Let’s see! Here’s some every day uses of improper fractions

Here are three real-world examples of improper fractions and how they might be used in everyday life:
• Recipe Scaling Suppose you want to bake a batch of cookies, but the recipe only makes 2 dozen and you need to make 3 dozen. The recipe calls for 1 1/2 cups of flour per dozen cookies. To scale the recipe up, you need to first convert the mixed number to an improper fraction: 1 1/2 = (1 x 2 + 1) / 2 = 3/2. Then, you can multiply this fraction by the number of dozens you want to make: 3/2 x 3 = 9/2 cups of flour. So, you will need 9/2 (or 4.5) cups of flour to make 3 dozen cookies.
• Fuel Efficiency Suppose your car gets 26 1/2 miles per gallon (mpg) on the highway, and you want to calculate how many gallons of gas you would need to drive 150 miles. To do this, you can first convert the mixed number to an improper fraction: 26 1/2 = (26 x 2 + 1) / 2 = 53/2 mpg. Then, you can use this fraction to calculate the amount of gas needed: 150 miles / (53/2 mpg) = 300/53 gallons. This is an improper fraction, so you could either leave it as-is or convert it to a mixed number (e.g. 5 35/53 gallons).
• Woodworking Suppose you are building a bookshelf and need to cut a board into three equal pieces. The board is 9 1/4 feet long. To find the length of each piece, you can first convert the mixed number to an improper fraction: 9 1/4 = (9 x 4 + 1) / 4 = 37/4 feet. Then, you can divide this fraction by 3 to find the length of each piece: 37/4 feet / 3 = 37/12 feet. This is another improper fraction, so you could leave it as-is or convert it to a mixed number (e.g. 3 1/12 feet).
• These are just a few examples of how improper fractions can be used in everyday life. By understanding how to convert between mixed numbers and improper fractions, you can more easily solve problems and make calculations that involve fractions.
Article author
John Cruz
John is a PhD student with a passion to mathematics and education. In his freetime John likes to go hiking and bicycling.
###### Fraction To Mixed Number Calculator English
Published: Sat Feb 25 2023
In category Mathematical calculators

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