- Schools directory
- Resources Jobs Schools directory News Search
improper fraction/mixed number word problems
Age range: 7-11
Resource type: Worksheet/Activity
20 January 2015
- Share through email
- Share through twitter
- Share through linkedin
- Share through facebook
- Share through pinterest
Creative Commons "Sharealike"
Your rating is required to reflect your happiness.
It's good to leave some feedback.
Something went wrong, please try again later.
terible word porblems becuse i dont like it
Empty reply does not make any sense for the end user
I was unfamiliar with the low, moderate, and high achiever acronym, but Google works.
This is just what I was looking for, word problems for application. Thank you.
Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.
Not quite what you were looking for? Search by keyword to find the right resource:
An Improper Fraction has a top number larger than (or equal to) the bottom number. It is usually " top-heavy "
See how the top number is bigger than (or equal to) the bottom number? That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions ).
Three Types of Fractions
There are three types of fraction:
A Fraction (such as 7 / 4 ) has two numbers:
The top number (the Numerator) is the number of parts we have . The bottom number (the Denominator) is the number of parts the whole is divided into .
Example: 7 / 4 means:
- We have 7 parts
- Each part is a quarter ( 1 / 4 ) of a whole
So we can define the three types of fractions like this:
So an improper fraction is a fraction where the top number (numerator) is greater than or equal to the bottom number (denominator): it is top-heavy .
Can be Equal
What about when the numerator equals the denominator? Such as 4 4 ?
Well it is the same as a whole, but it is written as a fraction, so most people agree it is a type of improper fraction.
Improper Fractions or Mixed Fractions
We can use either an improper fraction or a mixed fraction to show the same amount.
For example 1 3 4 = 7 4 , as shown here:
Converting Improper Fractions to Mixed Fractions
To convert an improper fraction to a mixed fraction, follow these steps:
- Divide the numerator by the denominator.
- Write down the whole number answer
- Then write down any remainder above the denominator.
Example: Convert 11 4 to a mixed fraction.
Write down the 2 and then write down the remainder (3) above the denominator (4).
That example can be written like this:
Example: Convert 10 3 to a mixed fraction.
Converting mixed fractions to improper fractions.
To convert a mixed fraction to an improper fraction, follow these steps:
- Multiply the whole number part by the fraction's denominator.
- Add that to the numerator
- Then write the result on top of the denominator.
Example: Convert 3 2 5 to an improper fraction.
Multiply the whole number part by the denominator:
Add that to the numerator:
Then write that result above the denominator:
We can do the numerator in one go:
Example: Convert 2 1 9 to an improper fraction.
Are improper fractions bad .
NO, they aren't bad!
For mathematics they are actually better than mixed fractions. Because mixed fractions can be confusing when we write them in a formula: should the two parts be added or multiplied?
But, for everyday use , people understand mixed fractions better.
Example: It is easier to say "I ate 2 1 4 sausages", than "I ate 9 4 sausages"
- For Mathematics: Improper Fractions
- For Everyday Use: Mixed Fractions
Sciencing_icons_biology biology, sciencing_icons_cells cells, sciencing_icons_molecular molecular, sciencing_icons_microorganisms microorganisms, sciencing_icons_genetics genetics, sciencing_icons_human body human body, sciencing_icons_ecology ecology, sciencing_icons_chemistry chemistry, sciencing_icons_atomic & molecular structure atomic & molecular structure, sciencing_icons_bonds bonds, sciencing_icons_reactions reactions, sciencing_icons_stoichiometry stoichiometry, sciencing_icons_solutions solutions, sciencing_icons_acids & bases acids & bases, sciencing_icons_thermodynamics thermodynamics, sciencing_icons_organic chemistry organic chemistry, sciencing_icons_physics physics, sciencing_icons_fundamentals-physics fundamentals, sciencing_icons_electronics electronics, sciencing_icons_waves waves, sciencing_icons_energy energy, sciencing_icons_fluid fluid, sciencing_icons_astronomy astronomy, sciencing_icons_geology geology, sciencing_icons_fundamentals-geology fundamentals, sciencing_icons_minerals & rocks minerals & rocks, sciencing_icons_earth scructure earth structure, sciencing_icons_fossils fossils, sciencing_icons_natural disasters natural disasters, sciencing_icons_nature nature, sciencing_icons_ecosystems ecosystems, sciencing_icons_environment environment, sciencing_icons_insects insects, sciencing_icons_plants & mushrooms plants & mushrooms, sciencing_icons_animals animals, sciencing_icons_math math, sciencing_icons_arithmetic arithmetic, sciencing_icons_addition & subtraction addition & subtraction, sciencing_icons_multiplication & division multiplication & division, sciencing_icons_decimals decimals, sciencing_icons_fractions fractions, sciencing_icons_conversions conversions, sciencing_icons_algebra algebra, sciencing_icons_working with units working with units, sciencing_icons_equations & expressions equations & expressions, sciencing_icons_ratios & proportions ratios & proportions, sciencing_icons_inequalities inequalities, sciencing_icons_exponents & logarithms exponents & logarithms, sciencing_icons_factorization factorization, sciencing_icons_functions functions, sciencing_icons_linear equations linear equations, sciencing_icons_graphs graphs, sciencing_icons_quadratics quadratics, sciencing_icons_polynomials polynomials, sciencing_icons_geometry geometry, sciencing_icons_fundamentals-geometry fundamentals, sciencing_icons_cartesian cartesian, sciencing_icons_circles circles, sciencing_icons_solids solids, sciencing_icons_trigonometry trigonometry, sciencing_icons_probability-statistics probability & statistics, sciencing_icons_mean-median-mode mean/median/mode, sciencing_icons_independent-dependent variables independent/dependent variables, sciencing_icons_deviation deviation, sciencing_icons_correlation correlation, sciencing_icons_sampling sampling, sciencing_icons_distributions distributions, sciencing_icons_probability probability, sciencing_icons_calculus calculus, sciencing_icons_differentiation-integration differentiation/integration, sciencing_icons_application application, sciencing_icons_projects projects, sciencing_icons_news news.
- Share Tweet Email Print
- Home ⋅
- Math ⋅
- Arithmetic ⋅
How to Solve Improper Fraction Math Problems
How to Divide Radicals
Improper fractions contain a numerator that is equal to or greater than the denominator. These fractions are described as improper because a whole number can be pulled out from them, yielding a mixed number fraction. This mixed number fraction is a simplified version of the number and, therefore, is more desirable because it removes complexity in further operations that may be preformed. Performing operations on improper fractions is a pre-algebra exercise that allows students to become familiar with the concept of rational numbers.
Complete all operations indicated on an improper fraction as normal. For example, (3/2 ) * ( 5/2) = 15/4.
Divide the top number by the bottom number. If there is a remainder write it down for later use. In our example, 4 divides into 15 three times. This yields 3 with a remainder of 3.
Write down the whole number.
Create a fraction beside the whole number with the original denominator value. Continuing from above, 3 ( /4).
Place the remainder from above into the blank numerator. In conclusion, 15 / 4 = 3 3/4.
Check your work by multiplying the denominator by the whole number portion of the mixed number and adding the product to the numerator. Checking the above yields ((4 * 3) + 3)) / 4 = 15 / 4. This check proves the operation was a success and that the improper fraction was simplified properly.
How to check multiplication, how to multiply 3 fractions, multiplying fractions, how to write an equivalent fraction with a given denominator, how to convert a fraction to a ratio, how to divide rational numbers, how to write the remainder as a whole number, how to type a mixed fraction in a ti-83 plus, how to: improper fractions into proper fractions, how to add & subtract radical expressions with fractions, how to get a remainder in your calculator, how to square a fraction with a variable, how to find the x intercept of a function, how to get rid of a variable that is cubed, how to subtract mixed numbers with regrouping, how to do fractions on a ti-30x iis, how to do exponents outside of the parenthesis, how to simplify algebraic expressions.
- "Introductory and Intermediate Algebra"; Marvin L. Bittinger and Judith A. Beecher; 2007
- Purplemath; Fractions Review - Mixed Numbers and Improper Fractions; Elizabeth Stapel; 2000
About the Author
Gabriel Dockery began writing in 2009, with his work published on various websites. He is working toward a Bachelor of Science in neuroscience in a transfer program between Ivy Tech College and Indiana State University.
Find Your Next Great Science Fair Project! GO
We Have More Great Sciencing Articles!
How to Use the Log Function on a Calculator
- Home Learning
- Free Resources
- New Resources
- Free resources
- New resources
- Filter resources
Internet Explorer is out of date!
For greater security and performance, please consider updating to one of the following free browsers
Understand Improper Fractions – Reasoning and Problem Solving
Understand Improper Fractions - Reasoning and Problem Solving
This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of understanding improper fractions.
Not a member? Sign up here.
What's included in the pack?
Understand Improper Fractions reasoning and problem solving worksheet Answer sheet
This resource is available to download with a Premium subscription.
To help our customers achieve a life/work balance and understand their differing needs by providing resources of outstanding quality and choice alongside excellent customer support..
Yes, I want that!
Keep up to date by liking our Facebook page:
Membership login, stay in touch.
Interested in getting weekly updates from us? Then sign up to our newsletter here!
- Terms and Conditions
Copyright: Classroom Secrets 2023
Company number: 8401067
VAT number: 248 8245 74
- Terms & Conditions
Designed by Classroom Secrets